Physics-
General
Easy
Question
In the circuit shown in fig., the potential difference between the points C and D is balanced against 40 cm length of potentiometer wire of total length 100 cm. In order to balance the potential difference between the points D and E. The jockey be pressed on potentiometer wire at a distance of
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)
- 16 cm
- 32 cm
- 56 cm
- 80 cm
The correct answer is: 32 cm
Related Questions to study
physics-
Three bulbs with their power and working voltage are connected as shown in the circuit diagram to a 12 V battery. The total power consumed by the bulbs is (ignore the internal resistance of the battery shown)
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)
Three bulbs with their power and working voltage are connected as shown in the circuit diagram to a 12 V battery. The total power consumed by the bulbs is (ignore the internal resistance of the battery shown)
![](data:image/png;base64,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)
physics-General
physics-
In the following circuit, 5
resistor develops 45 J/s due to current flowing through it. The power developed across 12W resistor is
![](data:image/png;base64,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)
In the following circuit, 5
resistor develops 45 J/s due to current flowing through it. The power developed across 12W resistor is
![](data:image/png;base64,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)
physics-General
physics-
Find out the value of current through 2
resistance for the given circuit
![](data:image/png;base64,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)
Find out the value of current through 2
resistance for the given circuit
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXIAAAC+CAYAAAAoeYRyAAAWtklEQVR4nO3dvW8a2cIG8MfRXacELGVLiPCGVC+O5I9bBd0CtkuaeFLdRJFMSGNLV4FcU4BWWijgLr7vVUhD7JU29lYmTewuYykyqa4JkuGt4pUt4z/AA3/BvIV3JjMY8BiDxwc/PwntAgdy8MDD4XzNiKqqKoiISFg37K4AERFdDIOciEhwDHIiIsExyImIBMcgJyISHIOciEhwDHIiIsExyImIBMcgJyISHIOciEhwDHIiIsExyImIBMcgJyISHIOciEhwDHIiIsExyImIBMcgJyISHIOciEhwDHIiIsExyImIBMcgJyISHIOciEhwDHIiIsH9xe4K9FupVMKPoZDd1bDN/UAAsizbXQ0SUCgUwudSye5q2OajLCMQCNhdjZ4MXZBr/H4/cktLdlfj0lSrVbyKxeyuBg2BX3I5TExM2F2NSxOLRlGr1eyuxoUMbZA7nE5hv12J7DQxMXGtPjsOp9PuKlwY+8iJiATHICciEhyDnIhIcAxyIiLBMciJiATHICciEhyDnIhIcAxyIiLBMciJiATHICciEhyDnIhIcAxyIiLBMciJiATHICciEhyDnIhIcAxyIiLBMciJiATHICciEhyDnIhIcAxyIiLBMciJiATHICciEhyDnIhIcAxyIiLBMciJiATHICciEhyDnIhIcAxyIiLBMciJiATHIB8yn0slpFMpNBoNu6tCggrPzWFjY8PuatA5MMiHhN/vx4MHDwAA6XQaM9PTKJVKNteKRJJMJuF2u3F0dITHkgRpdhb1et3uapEFDPIh4XQ6UXz/HuvFov5h/DEUgjQ7y9Y5WRIIBLBTLiORSAAANjc3MTM9jXw+b3PN6CwM8iHz8OFD7JTL8Pv9AE4+jHd9PrasyBKn04lEMomPsgwAaDabeBWLIRQK2Vwz6oZBPmSq1SokSUKtVgNw0uXyUZbh8XhsrhmJYm11FdLsrH59fn4exWLRxhrRWf5idwWoPxqNBt7k80in0wAAh8OBRDKJhYUFm2tGoqjX6wiHw/j859iK3+9HbmkJgUDA5prRWRjkQ6BUKiE8N4ejoyMAwIMHD5BbWmIrnCxLp1KmRsDCwgISyaTNtSKrGOQCq9friEWj2NzcBAC43W7klpbw8OFDm2tGomhtBNwPBLCyssJGgGDYRy6ofD6PmelpPcTn5+exUy4zxMmSRqOBcDiMH0MhHB0dweFwYL1YhMzxFCGxRS6gUCik92M6HA4U379nPyZZ1mg0cNfnQ7PZBPBtQNzpdNpcM+oVW+QCKhaL+PuTJwBOpodJs7NciUeWaWsOtCmqtVoNkiShWq3aXDPqFYNcQE6nEysrK/goy3C73Wg2m3gsSQiFQpwvTpYYF/84HA58LpXw15kZbu8gKAa5wAKBAPb++ENfife5VMLM9DTSqZTNNSNRJJJJ7JTL3N5BcAzyIZBIJvF1bw/3AwE0m02k02n47tzhh5Es8Xg83N5BcAzyIeHxeCDLMpaXl+FwOPQPYzgc5oeRLNG2d5ifnwfwbXsH7rVy9THIh8yTp0/xdW9PH8j6fW0Nd30+hjlZ4nQ6kVtawkdZhsPh0PdaMS7Zp6uHQT5k6vX6qb1Wiu/fc2oZWbaxsQFpdlafnvjgwQMsr6zYXCvqhkE+RNKpFO76fPhcKp3stZJIYKdc5hxzsqReryMUCuGxJKHZbMLtduOjLLMhIAAuCBoCXGZNF5VOpZDP5/VWeCKR4F4rAmGQC6zRaCAWi+H3tTUAJ6s8l1dWuEyfLCuVSohFo3pXHBsBYmLXiqDWVldx1+fTQ3x+fh5f9/YY4mRJo9FALBrFj6EQarXaSSNgeZl7rQiKLXIBSbOz+mZZbIXTeXGvleHDFrmAlldW9JV4zWYTsWiUe62QZdpeK263G8C3vVa4vYO4GOQC0j6I2l4rFz3reTwex8jIyKlLNps9VbZSqSCbzWJsbMxUdmxsDNlsFpVKpR8vcagoiqL/zTopFosYHx/HyMgIxsfHu55arR/HgNs7DJcRVVVVuytxlkajgd3dXUtla9Uq/vnPf+J//H788ssvlh5z+/Zt3L59+yJVtM1FT/GmKArGx8ehKIrpdpfLhf39fbhcLv22bDaLeDwOAIhEIshkMnC5XFAUBfF4HG/fvgUAZDIZLC4u9uPlCW1rawvFYlH/uwBAu4+b9nfV/m7xeBzZbBbr6+uQJKltWaB/x6D1FG9utxsrv/4q9LTVw8NDHB4eWir76tUr/F+thn/961/wT0xYesy9e/euVleUKoBPnz6pACxdbty4od4cHVW/++47y4/56aef7H6JF7a7u6sGg0H15uioenN0VJ2emlJ3d3fPfFyhUFAjkciZ5TKZjP736lQ+EonoZTKZzLlfw7Dxer2qJEmm91qr4+Nj1eVyqQDU/f19VVVV9cuXLyoA1eVymcoO+hisvnunfn/rlv4empubUxVFOddzXBU//fST5c//d999p94cHVVv3Lhh+TGfPn2y+yWaCNEi393dxT/+8Y+BPf+zZ8/w7NmzgT3/Zcrn80inUvpA1vz8PBLJZMfWw9TUlP5TXJIkBINBRCIRU5nWVnu7liJw0gINhUIA2rfor6vx8XEcHBwAON0iLxaLePz4MQDg+PgYLpcLBwcHGB8fB/Dtb31Zx6DRaCCdSuHNmzcATn7h5XI5PHn69Jyv2l6//fYbfvvtt4E9/3/+8x/cu3dvYM9/bjZ/kdAAKIqiTk9N6S2r72/dUg8PD0+Vk2W5bWtjcnJSbx2qqqqur6+b7jfeZ7S/v28qt76+PrDXKBKv19uxRb64uHjqPuPfcXFxUVXVyz8GHz58MLXOZx896ul56HJwsHPItO614na7UXz/vu3c4E4DapVKBaFQSG/9tfafW9Xr464TraXeiR3HQFskZNxrJbe01NO/T5eDQT5E0qkUZqan9UGrRCKBvT/+6DhoVSgUoKoqVFVFoVAw/VQ/ODjQB84mJydNj+sUDq23tz6OTjsraLWgv4xjUK/XIc3O6idkdrvdWC8WOzYE6Aqx2nT/8uWLuri4qAaDwY5ljIMxwWBQ/fLli36fcRDGeGl9vtb7rQzEXXfb29umrpRgMNi2K8UK4094SZL024PBoH57oVBo+9jW408nunWtGP+uGmP3iPH9P8hj8Pr1a1NXSvTlS2EHOi/b/v6+aVBbkqSOXV+Dysgzg7xQKJjeQJ3eHNoLkWVZVVVVnZycVF0ul+kFFQoFUwW0su3+TXDmw5kURVGjL1+a+sJX37278PNqbzZjkO/v7+uB5PV6T71Rv3z50vX+66wffeTa7f0+Bru7u6caAVZmO9GJ/f19fdaR8eL1etXj42NT2UFmZNcgl2VZDQaD6uTkZNcg1wbNvF6vflu7MDC+mG6t7cXFRbbEz9A6GNXPqWLHx8cdv0gzmYzqcrlMx1pVT8LK5XLxy7eNbkFu/AWkffCNQd5usLIfx6BdI+D169c9vsLra3FxUT9Gxi/S1s/PoDPSUteK8Y3VLsi1VsXk5KR+m/GbxfjNpM2R1S6trQZtXm3rtxl9M/vokf4BvDk6qn748KGn59GOW+sHv/UYGFuFmtb3Qbv3BUP9RLcgtzqPvJ/H4PDwUL3zww+mNQfsRulNa4vZ+MVsDNpBZ2RfBju3trYAoON8Ve1+4GTwJRgM6tdbZ04Ui0VIksT5x13klpb0vVYAIBaN9nSiZW0gLR6Pm2apvHjxAuvr6/oxqFQqp5bvb21tmWZUbG1ttS1z3VUqFdPMlNb3u8vlQiaTMd2n/bdQKJiep1/HwOPxYOXXX017rTwPh7nXSg+MWQaYB5e9Xq/+/4POyL7sfmh1CpVGkiS94tls1rSUOJvNQpblrs930QVCoi8A0s56vrGxgVg0qp9oWTsll9Wlw8YA2drawtjYGDKZDDKZjOlN2ImiKPrycDIzLuox0hb/qIaFQZFIBC6XCy9evEA8HofX6+244KdVr8cgEAhgp1zWt3fY3NxEqVQ61/YOIrnoAiGrC4CM+9y0zgLr5sIZaeXnw1ldK+3uM/5saPfzzvhzUxuB1/rkz9Jtyb6VJfrDsCRfw75Ouqhet3cQSbcl+1aW6Ftdkq/NPGntCht0Rl7KfuTtfk5EIhF9859isYhIJHLqm6eTe/fu4dOnT23v0zbNmpiY6LhplqgbZLWjnfX8ydOneB4Oo1ar4VUsho2NDeRyOUxY3ASIrq+JiQnIsqxv71Cr1fDXmZkzt3cQybNnz/C3v/2t7X3apln/++9/d9w0y0prXFt74fV6z71p3IUz0sq3zFktcm1WS6dvm3Yj79rMCBi+cVpH4Xuxvb2tT6O6jlrnA6d+/pkDWWSZoiimwfTvb93qeTBdFNqvke3t7Qs9T7vphMb7BpmRfRns1DrmO/XTtQ4IACffQMbNmV68eMGtT/tgYWEBO+Uy/H4/ACCdTmNmepoDWWSJca974OTEJdpe99RZPB5HpVKBLMttx5cGnZEDC3Lt/7vNQDEOBrRWmnpTr9dNJ9N1u93ILS1xiTVZViqVEJ6b06/fDwS410oXxWJRH4A0zloxnuRj4Blp5SeDcVlpp58OWid/t1VL7WirRvs15/g6d61wmTVdhKIo6tzc3LXqVlHVi3WttM75Nl5a95MfZEZ2DfLW5aLGS6fFB8b7jfsInPVv9GsB0HUMci6zpotqPanEdWoE9Brkxi0T2l1aV2yq6uAycuj2I79OQc6ph3RR7aYeXnTQTzT9Guy006VMP6T+My4GAnDuxUB0vbU71+vCwgISyaTNNaNeMMgFJM3OYnNzU7/+UZaFPlEuXa56vY5QMKg3Avx+P/ccFxxPLCGg3NIS7huCOzw319NeK3Q9eTwe5JaWTHutxKJRNBoNm2tGvWKQC8jj8UCWZSwvL8PhcOh7rYTDYX4YyZKHDx9ip1zG/Pw8AGBzcxN3fT7k83mba0a9YJAL7MnTp/i6t6d/GH9fW8Ndnw9rq6s214xEoG3v8N+dHfj9fjSbTbyKxRAKhVCtVu2uHp0Dg1xw2ofxoyzrH8bnz58jFApxNSdZMjExgZ1yGb/kcnA4HPhcKuGvMzNIp1L8hScIBvmQ0LYlTSQS+ofxrs+HdCpld9VIENr2Dtpe99r2Dhx/ufoY5EMmkUxip1zWB7LS6TR8d+6wdU6WaHvdr/95MgNt/IV7rVxtDPIh02g0kEql9KllDoeDe63QuZRKJdMvOe61cvUxyIfI2uoq7vp8+H1tDQAwPz+Pr3t7ePjwoc01IxE0Gg3EolH8GAqhVqvB4XBgeXkZsiyzIXDFcUHQEKhWq4jFYvj8Z1+m3+9HbmmJi4TIso2NDTwPh9FsNgEAf3/yBLlcjiuFBcEgFxiXWdNF1et1hMNhvRHgdrux8uuvbAQIhkEuKG3PaONeK+wLp/NIp1LI5/N6KzyRSLARICgGuYBa91pZLxbZD06Wte614na7IW9tsREgMA52CiiRTJr2WkmnUlyJR5Z5PB4kk0k4HA4AJ1MMU1z8IzQGuYC0s55rK/G0s55z4yOyits7DBcGucAWFhbwdW9PX4n35s0b0zn+iLrptL0DV3KKh0EuOO2s58vLy3ZXhQSlbe/g9/vtrgr1iEE+JDy3b9tdBRKcg3PGhcUgJyISHIOciEhwDHISUjwex8jICEZGRjA1NYWtra2OZSuVCrLZLMbGxvTHjIyMYGxsDNlsFpVK5RJrTtR/DHISztTUFLLZrH69UqkgFAq1DeRsNoupqSnE43FIkoTj42Ooqorj42NIkoR4PH7q+YhEwyAnobx9+xaSJOlhHAwG9ftawzibzSIejwMAIpEICoUCXC4XAMDlcqFQKCASiQA4aeEzzElUDHISitfrxeLiIoCTMF5fX9fvM7bIFUUxBbMx8I2M8+6z2SwURel3lYkGjkFOQmkNZJfLBa/XCwCYnJzUb9/a2jKFsvE+I+2xwEn4d+trJ7qqGOQkNEVRcHBwAMAc8r22rNkiJxExyEloxT/PLTk5Oan3d2vXjToFdOvtnVruRFcZg5yEpvWDFwoF0+2Tk5OmFnqnKYbGrpRgMMggJyExyElY8XgcBwcHWF9fbxvAhUJB7wPPZrN6F4ymUqng7du3AE76ylu/DIhEwSAnIRWLRWSzWWQymY47Pnq9Xuzv7yOTyUBRFIRCIdP9jx8/hqIoyGQy2N/fNw18EomEQU7COTg4wIsXL5DJZPSpiMC3FZwA9PnjALC4uIjj4+NTQe31enF8fGx6Ds4lJxExyEkoWstaURTTMn1tqb7WL16pVEz3jYyMmKYkalMN25UhEg2DnITy+PHjU33dGpfLdeZgpTHIiYYFT75MQpFluS/lvF4vVFXtR5WIbMcWORGR4BjkRESCY5ATEQmOQU5EJDgGORGR4BjkRESCY5ATEQmOQU62qlarqNfr5ypfrVavTPl6vX6u8kSDwAVBZJtGowFpdhae27ctL/Q5b/nn4TAAYKdctlQ+Fouh2WhYLh8Oh1E/PMTeH39YKk80CGyRk23e5PM4OjrC51IJGxsbZ5ZPp1J6+Xw+f2b5fD6PWq2GWq1mufznUgm1Wg3pVOrM8murq/hcKuHo6MhSeaJBYZCTLarVKtLptH79eTiMRqPRsXy9XjeVT6dSZ5c3hGs6lerahdNoNEzl8/n8meVjsdi350+nz9VFRNRPDHKyhRaCDx48gNvtRrPZ7NqqDf/ZRXI/EIDf70ez2TQF6annj0bRbDZxPxDA/UDgpHw02rH883AYzWYTfr9fL6/9m53qbyxvrCPRpVOHzPb2tnpzdFQNBoN2V+VSifS6X79+rd4cHVW/v3VLPTw81Ot+c3RU3d7ePlX+w4cP+v3nLb+7u6vu7u7q1z98+HCqvPH5dnd31cPDQ8vlt7e31cPDQ/X7W7fUm6Oj6uq7d/35I9kgGAx2/JsOs2F43UMb5Lxc/cvr16/14zY3N6feHB1Vp6emTMdTURQ9JFM//6zfHn35Ur05Oqre+eGHU+Xv/PDDqfKpn3/WyyuK0rZ89OXLU+W/v3XLVF5V1XOXn56asv1vzcvZF5GDnF0rZAu/34+FhQX9ei6Xg8PhODXQmE6l0Gw24Xa7kUgm9dsTySQcDsepgUZtQNTtdmPe8PzzCwtwu904OjrCG8PApzbg2u7523X5aM/vcDhOlW/X5aMNuBINlN3fJESa1Xfv9FZtL10uxi6Ufne5aF0o5y2v/Zow/vog6jcGOV0pWn9lMBjUuyTm5ubOVX720aOO5WcfPdLLa4/tVt7Y5WP8tzoxdvkY/y2iQRpRVZ4mha6Oer2Ouz6fft3hcODr3h6cTmfH8jPT02g2mz2X3ymX4fF42pZvNBq46/Pp5QHg697eucr/d2cHExMTXV410cWwj5yuFI/Hg0QioV/P5XIdQ1krb+xrTySTZ5Zv7dvuFMoA4HQ6zeUTiTPLL6+smMozxGnQ2CKnK8l35865luLPTE/D4XSeqzxgfel+KBQ611J8rfxOudz1i4WoHxjkdCVVq1U4nc6urd/W8gAst34HXb5er6PRaLA1TpeCQU5EJDj2kRMRCY5BTkQkOAY5EZHgGORERIJjkBMRCY5BTkQkOAY5EZHgGORERIJjkBMRCY5BTkQkOAY5EZHgGORERIJjkBMRCY5BTkQkOAY5EZHgGORERIJjkBMRCY5BTkQkOAY5EZHgGORERIJjkBMRCY5BTkQkOAY5EZHgGORERIJjkBMRCY5BTkQkOAY5EZHgGORERIJjkBMRCY5BTkQkOAY5EZHgGORERIJjkBMRCe7/AT9YuN8c2IteAAAAAElFTkSuQmCC)
physics-General
physics-
The charge developed on 4
F condenser is
![](data:image/png;base64,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)
The charge developed on 4
F condenser is
![](data:image/png;base64,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)
physics-General
physics-
For a cell, the graph between the p.d.(V) across the terminals of the cell and the current I drawn from the cell is shown in the fig. the emf and the internal resistance of the cell is E and r respectively
![](data:image/png;base64,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)
For a cell, the graph between the p.d.(V) across the terminals of the cell and the current I drawn from the cell is shown in the fig. the emf and the internal resistance of the cell is E and r respectively
![](data:image/png;base64,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)
physics-General
physics-
Equivalent resistance across A and B in the given circuit if r = 10
, R = 20
is
![](data:image/png;base64,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)
Equivalent resistance across A and B in the given circuit if r = 10
, R = 20
is
![](data:image/png;base64,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)
physics-General
physics-
A part of circuit in steady state along with the currents flowing in the branches, the value of resistances is shown in figure. Calculate the energy stored in the capacitor
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)
A part of circuit in steady state along with the currents flowing in the branches, the value of resistances is shown in figure. Calculate the energy stored in the capacitor
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMgAAACsCAYAAAA+PePSAAAgAElEQVR4nOydd3wVVfr/32dmbkmvEHqT3nuzrlixIaKyq+uuve3uT8WGirr2Xdev7irqWgEbrKjYAEFAVHpHLEBCgFCSkITUm3unnPP7Y+69JDSDBiFwP6/XvAI3NzNnZs5znuc85fMIpZQihl8EpRRSSoQQ0SOGYwvakR5AQ4fjOCiliK0zxyZETIMcCAopbcAVACE8CKEDHPeaQkqJUgpN0475ZxHTIAeFwnZsLNtCSteciuH4QkxADgJHSqSUvPrqqxQUFADEhOQ4Q0xADgJNCHRNZ9WqVZSXl0c/tywLKSWWZUU/k1LiOA62bR8X+xEhxFG19zpcY4kJyEEglULXdbxeL6FQ0P0s7LUyTRNNq/34Ii8opmV+e0QEpL6FJCYgB4FAIKXE5/OiGwbgbkyVUpSXl1NZURn+pgIU0nFYtHAhwWDwCI76+ENEKGIa5DeAwkHhgBJYIYf1634kOc5DeVUpP274AUeZ7C7Zxe1/u5Wv5s5CIQEH6YTYlL2OB+75G998PRfTNDFN85jUJpqmRY+jyYsVMfvqEzEBOSgEzz77f6xdvYannnqK1atX49gOEya8ieM4tb6p6xqLFy3iphtv4IOpHyClRNf1o2oCHcs4XMHamIAcBB6PwRVXXEkgUA2mwbDTzsFjxPH/bhvDKb87DRsHxzGxHZtdxSV8PP0LSgIWW/K28+6770b3KzEcXtQUjpiA/IbQNJ2OHTviOA4tWrYgOTkRIUDXdVLT0khMTATcaHp2djZdunQhPT2diy++mNmzZx+zJtbxBONID+BohkCQkpJCq9at6NihAz6vL7xCCRITE3EcB+m4sZK5c+cyfPhwBg0aBEpnxYqVZGdn07NnzyN9GzH8CsQE5CBQSPxxfnr26EnHjh2RSoEEkHTq1AmPx0BoAh2doUOH0qd3H6SUeAwvt99+O40aNQqnqcTMrIaKmIAcBJoQKKGRnJxMZmZ61EsihKD9Ce1RhPcYGpx6yqkgXK2jUHTp0iUmHMcAYgJyMAiBJgQpqalIN9SBpmsIoVA4CNwNYmSfoYeTGUGgZEw4jgXEBGQfRCZ1ODKrCXSPF8eRCG3P7zQhUGgoCZpmgFJIqdA03RWkoyxGEMMvQ0xA9oKIOPaEAs3dhBeXVZCe6eBGzEU4xUQiEKBrhG2rPeeICcYxg5ibdy8opXAciZQKy7IwTZPs7I14/Q5KBZEyFP6mET7CAlLriOFYQUyD7BeueVVQWMjLL4/H7/fTuVNnNF0jFtY4vhDTIHshkspTXV3N888/T35+AcOHDyc+Id6tohOxR3Y8IVZyuxekVCglAUV1dSWzZ3/B5Cnv0bFjR0aNupROnbrg9fjD5beC2Hbj2EZMQPaCDAcCQeE4FkJISst2s3TpUp5//gVO/90w/vrX2/B6/bgb9piEHMuI2QsHgVJuIDBQFeCnn34iMzOTHj1iqSPHE2IaZC+4aewSIaC4pJiZM2fw1VdzGTCwLyMuGklGRmMERjRz1HX5xrTIsYqYF2sfSEASMk1efHE8M2bM4O9/f5hTTx2ErvuIuHKFkOG9iu/IDjeGw4qYBtkLjmOH9xUOUjo40kRJh9zN27n++hvo2bMnjzzyCGmpaW6uldKiOVqa7qaaKMdGCfZTn2DElE0DQ0xA9oJSEikdhKaQjkVJaREffjiVGdPnMHLkJVxw/gUkJSe5AoGGUCJK3iDCP5Vjo3AfqxACEa5jF5o3JiANDDEB2QtKSRzHZVRcuOhbHnv87wwZMoTRl/+Rdu1OQISpgKSS2JZFMFBNYkIChmFEBUTaDqZpRpMdPV4vCtB0X0xAGhhie5C94NJqShzpUFpaRlpaGrt376akZDdt2siocDiOw7/+9S/W//A9gwcP5rrrr8cfF4dlmsz+YjbV1S6zieM4nDt8OAnh6sMYGhZibt69IIQIc2F5GD58OC+9+DKDBw/i6aef5qmnniJnUw5KKoqKirAsk3898zS5uTns3LkNKW02rP+RpcuWcsYZZzB8+HAKCgv54osvcGI5Kg0SMQHZCzWL/5VSpCQnc+moy3j66X+ybNky7r77bgoKC8hqnMXd99zNpk0bMa1qklMSUcrm62++onv3bsQnJuLx+Tj11FNZsnjxnhyWGBoUYibWXnBdt24kXSkHy7b4YvYXfPjBdM4440wuuOB8mmQ1BiERQvHd9+sorwhQWlZFYmIK6RnpCF0H4Xq3HAlJKanENh8NEzEB2Quu5gDbttm8eTMvvvQChmFwz9330qFDBxAOStk4lkkwWMU1115P02ZtWb78O1q1akfP3n346KPPCIYsdF1n4eIlnH/hCBwl8MRkpMEh5sU6IBRS2Ti2iSNtFixYwHPP/Zt27doz5o67adq0GYFAgLy8PJo2bUpycjK6rhMMBjFNk8TExCjLXyQWYhix9aihIfbGDgLpOAhNo2x3GQX5BaSkpDB40GBSU1MRQpCQkEjnzp1r7Vl8Ph8+nw8VJr6OrT+/HSLcAHuTiv8axDTIAaGoClQwd+5sPv30E7p06cKll15Go0ZZaMKDEBpKuZSjjuNEa9APVm4bK8U9fIj0i1RK1aumjnmxDoKvv/6acePGMWjQIK679joaN26MoRsoJdE0DcNwuXcNw9hHOPb+d0w4Dj/2JI/W4zljGuRAcDXId9+t5t133yE1NZXzzjufXr36YOg+hNAQQovVgxzjiAnIAaFwpIVSDlLaZG/M5vU33sCyHG6/7U5atmyFEBq6HlPCxzJib3cfKMBxj3BKiWVZZOdkEwwG6du3L+npaeHN9+FcWyLxGGevnw0XkT1CQ0JMg+wDN1ERoCpQxfLly5kxYwapqan8fvQfaNasBbruIUL3c3hMrIiQ7g0B6Pv5vGHAtu1o452GgjoIiNsvXOGglIMmDNeDgwJFtF+2ZbluTSklHo+n/kaoIoRte0Pn8DAm7LmeI90e6T/99BMT3nyb/Px8Lr74YoYOHUqjRo3CrRD2dw6NX6ecFZYdipb8okBoYV5gcOVEgQz/XoT5uSKb1JhDoP5QJwFRysGRVpiWWaBrBgoVbRDjvjgPjuOg6zr6/mfNL4Pcv2mhDiAgv35y7BEQ27ajkzE/v4gHHniA9PR0rr76ajp06IDHY0QFRNUSYn0PQ+MvgksYsW1bHl/O+ZLy8nJOPfXUcCsFhWmarF+/nurqamzbplfPPsTHJ0UTLWMCUn+o01u0HRsUFBUVUV1djVQS0zRZvnw5tm0jhMC2LVasWFGrNXL9QLmJfjUOpRQKNy299lG/1mLNQN8//vEUXbp04Z577qFjx454PJ7a11M1WhHXwzCEEMz7ah55eXlkZWWRmpoKSuE4Dp9++inr1q2jVatWlJaW8uKLL7r1JzHUOw4qIG7vb9fnb9s2//7Pv/lu7VpQbp3DrFmzyMvLw7IsKisrWbduXb1pj0gf8h07djJ//ny2b98e7UGulCIUqiY3N5ucTRspLi7EskNIaVOfG2eFimrEli1bcvPNN5ORkYHX60XTtKhJ6UgHx3GoqqzCtmwc6UT7pv9SoZVSkpubS8uWLcnKyqJJVhMcKSkpKeGDDz7g3HPPpUmTJpx99tmUlZWzdevWBmXbNxQc8IlG3qsQAk1o5GzaRDAYxHYcEOD3+xkyZAirVq1C0zTWrv2O9PT0ehWQQCDA+PHjqSgvZ+KECdi2jZSS6uoAb701ie3bt1FSXMTb77xF0a5dSLW/je2vhyMdXKKGPf1B3IOweSmwbItFixe5DPD1IKNKKTweD8XFxUybNo2333nbbbXgSJKSkvD7/UjHNXGlkpSVlTU4D1FDwEGWHJfJHCAUCvHtt98yatQoqqsDUXOia9euLFmyBIDFixdHm8b8WjiOE7WjL7zwAoadcQb+uDjKy8sBWLRoMbt3F9O3X2969+5Jt25dmPrBFEQ9zMyaDekjh2maFBUXAbXzfGo2yCkpKaF7t+6YITMqOL+mgY4Qgptuuonbb7udu+66i/nz5+M4DskpyTiOw5bNW9B0jfLycrZt20bLli1/9b3HsC9+1sSybZtvv11IYkIilinJ3riJUMgCBBkZjWjRvBU7dxawa9cuWrZsWS8ComkaUkri4+Pp268fs76cTUFhAYnJSQhdY/OWzfTs3RePx4+jBK3bnEDeth1wSLy5iv3FGaRSrskkLcBBKYltOxTk5yOl68mLfN8VArAshwXfLuSLWbMxDC8bNqxny+ZcpGOjpBtPQe0dz4j83P/zchyb6dOnUxWoorysjLi4OFfwpOSqP/6Jzz+fSTBoMnnyewwePBApXRYWIdz4iVJOrSMa29nvGA48juMdPzOjXE9VcXEJ69b9xIQJbzN//gIKCnaha148ho8BAwbx5hsT6NixI36/v948KLquo2kaChg0ZDCJKcmsXrsGiaJJs2Zs3rIdKTxouo+Cwt1079kPRx5q+4HIxNjz03EcHEdSULidtd+tYGP2eoTQ0Q2XCkiIPd93i6t0NM2gsrKadm3bs3nzVp56/Am2bd2MoYsagqEO8HP/wT9d1zF0nXHjxjFx0iSuu/ZaNA22bMnl7bcnk7tpO4HKEArJjh3byM5Zj6ZFxuQeUtk1BFod8hhiqGOgMOqdAWzbQSkwDA2l9gTKxH6JnBWI/e0LXOLn2teQritZeFFSoJA40mT2rNmsWf0dPXr04Oyzz0LTNFavWcPGTZvp1r0LTZpk8O2CBTRv1oY+PXviFQoldUBD0wDNASFQUcK3yDj3H4yzHZvc3A1M+d9bWLbJ118t5+1JU3nqH0/x4IPjyMjIiN6zlCp82OTkZNOsWRaJifHM+HQ2u0vK+MMVfwi3bHMd5Io9tx05h2NbKCmprrKIj0tE6BKETVllIQnxKQjhD7M87kDXNVJTmgCSYKiK7Oyf6NKlE0ImIBCsXr2YLt264PemIDSDlau+RCDo23cwAh/gccchbHf8KpweLjSUMsJds0A6CqEJpGOjKYkQHlerY+E4pRTsKkcpL82aNTvm3cqH7PZwHJtNm7KRUroTMLoyHUjONFyBiPw88CZe04QbK9bc0+ma4KyzzmDMmNsZPvwcdN1NDuzTuxeXjRpJty6dSU9N4cLzzqN/nz5oQiCVE7b9FQh38tqOXSM15ODrgRCC2V9+SfduPbniD38iPT2DlJQU/H4fUtYOWgpB+DkIOnRoR3xCHApFoybpNGuZhdAdd8JrDoiapkzNcyh27tzGyy+PJ2IGOU6QZ555htLSUrfVtJTMmDGT6TOmE9FceVvzePSxx3GkRAiJZVfz0ssvUFiwA6HZSGkx/+tveGH8y4RMG6nAkSpaMyGljKZ+SCVR2K7GwUbTJZrmoIXXMU1z+zBKx+a996YwefIUHnvsMXJycg76LI8FHLKAFBXtYuLECWF7vMYL37vJUiTkqzRQNX8e2AxSUmKZoXB0XqEJhXTscFo52LZFdXXAvbaUKGlRHaikonw34KBp4DgWmzZlu5FnKREa5G7ahGWZNSZ4xLTYFwJof0IH5n31DR988AlNmzTH49UJBgNhgdhzDjft3V00AoEqNxaDTZ++3Tnl1KFILBQWCDt81BRS9xBCsnLlYj7+ZCpBswKFxZa8XGbNmsPKVavQDbey8bPPPuPTTz6nOlgJAubOm0tu7mZWrliDpjt8t3YFXq/OrFkzkcokZFawdu0P2I5i0aIl2I4kFApiOzaVVZWYlklFRQWVlZUUFxeTn7+NHTu3sG1bLuu+X8XyFYtZs3oFq1atZNnyJYRCATZu3MCSxSu4/LLRdO/enXXr1h3q9GlwqHNlSUSNarpGyKxGKhsQBEMmmqbhC7cDqBU7U65JZuh6uMGliEamtTDb4B5vj6KstJg5s+dz0UWj0HRwZIh33nmb0aOvwB8Xh8ej8+FHU+nXrx/t23VCKcnCBd+QnZ3DTTf9DSUVOTkbeP7f/+XZZ/+Dbgiqq0u5+547eeSRx+jatYtb3KTrtVhGarpupbQ57dTT6NypK6lpmcTHJQCCzEYZICKb37CISYlCoWkw9cP32blzGyedOIQ2bU8gM7MRXs2LBIQS4dQQtwGP7Tg4IdtN2ZEhli1bwiknn8SXX87mnHPP4qt5c7h01KXMnDmTk046ifXr19OsWXO8Xi9r1qymS+curFmzhocfeoT33/+AgQP688Ws6Vw++g8sXbKU7du2kZ2TTdt2HRg16nKeeOIpvl6wBGkr/H4vm7fkYFkWoVCIpKQkfD4fXq9GXHwcGRnphEIhQqEQleVVCEcnJyebJ554gs2bcwkFHVatWgtAnz59fvUEPNpRJwGpaWP6fB6SkxPRNNeGfe+9d+jVqzf9+w0If6OmCSORyqSq2sLn84MSbh/xMF1nze2PlA65ORt59+23OHPY2SQmxbNzex7/m/Ieffv1p1u3bliWxSefTKOgIJ+//aUDSkmWL1vKwoWLuOrKq4mPi+frr+ez7vu1rN/wE926d2bTphyysjKZ9vGHdOh4Fx6Px7WtNbciUCq3GWfEDJPSIhQySUxMwzIVpcEKLDuIlDbb8rZSHaiivKKCUChIRUUlXq+HiooKLCvElCnvMW3aByQlp9GzR1+ymmRhmSa7S0uxLAvHsvH5XLJr23YFsXevbiilcfMtf+G5Z59n2LDTWbZ0BQ89/ATP/vv/2LjxR75d8A3nn3c+Pr+fOXNnUVFRRlZWFqecfAqv/PcV1v/0Izu259O71wBKS6qYP/8btu/IY/h5I2jTtgMPjHsIcAu7UlOSw54u8Hg80biVYezJGtC08PuR4NEMHnjgXkJWNV6vn+bN29K/30B++PEnEhISkFLWb2rRUYY6CUjNTbrHY5CWlgJKogmNLVtyadmyedhbskeQpJJIabN160ZeGD+eE088kb59+pCZ2Yj4+DRUOCMlUq6qlMPyJUs47ZSTmP3FTC4edTHLlyzlD78fzfz58+jatTMrViyjb9/ebNmSy+6SIiyrGmVbDB7YnxXLltJ/wAB+/GEd4x58gE8/mUbnLmOYOWMG9957DxMmTuLpp/8RrgQ0qKioxO+PJxAIYNs2lZWVBINBkpLjEWhYIYPt2wpJTknE45XkF+RRXFxIcnIySini4uKQUpGUlERGRjpbt27G5/OSnpGKPz4dpflo3KQVmRkZGB6D1ORk0lMT8HrdnLXy8nLefvttdhXmM3TIaTRr1obkpExmTp/DkMGnkJXVjFGjRjHxrTfZvm07V115DX5/PF/O+ZzX33iN+8aOIyExiYsuuoQ77ribERdeREJcOicNHcYtt16PP97glr91x+dPoE279uEsWterpqOi8ZxIwqNjg67pLkWqFg6KSoVtVhMf7ycUCnDiSSexdPF3PP30s5x59u9IT08/5qP3RsSWjuQyaZqObYdnr1RurpWmocKbu7LduzE0HQ0dlE6cP54lixeRlZVFZWVl2BcvCJnVlJeVU1paxupVq1m1chUZmRnomk63Hn1o1bI1uqazc8cOevTowdAhgykpK+Pmm//KM08/y8jLLmbNurXc+re/Mf7Fl9mxYwcLFixgxIgRLFmyhOXLl1BRWUanzt1o36EDE9+ciD/OQ/uOnRg6dCgffPAhW7ZsYWf+Tpo3b8k111zHxo3ZeL1ekpOTiIuLJyE+kepgNT6vu6oLIfB6dXTdwONJjJqCHq/GP59+nMsuvYw2bdvi8XgBN7xB2O374YdTycnZxLnnnMOQE0+nRYu2e2U1S3ThhCejjeM4pKXOYMHCxVz27B8RCEZddglPPvkkd99zB46UdO3Sg+KicgYNOpGk5BSkhIEDh7BhQy4ntOsASnDWWefw1lsT+N3pZyF0naSUVPr1H0x6ZjKJCQlIwAi7zN3MXxBhk9IVDh2BwDA015uFwrEluqGBUOgeA8Prw5YKr8/L3feOIWiGSEiMw7KsY9qDBWEN4jgmtm0y6a1JrF+/nlAohCYEOgbSdvB4PITMEH6fn8pABbruwdDjcGxJWlIGq9cuZebMGVRVVeGP85KcnEBScgJx/hSk4yMxoRHBUJA4XzopKcl06daVNm1akpqUQmVFBe9MmoQdquKEjp2JS0ogLiWOed/MI6tZCxo1asLAgQOZPHkyu3btolXLVsTHx/Pcv/9FZWU1Dz/4OKlpKQSsat6d8h5XX30DcQkJDDvzDMa//DLDzhyOEF5atmhLyxZta938wVe/mi9e4fX68Pnj0TUPAq/rlxACR1roupfTTj2H0383nLS0VLccd59za9EMXyE0DAMuvHAkS5YsJTk1BUtatG3fmtPPPI127dtjGC4xxKWXXOEGYKUGSjFk8Ok0zmyF35+Iphk0bdqEsWPH0bJ1W9AUmgf+8McrsG0bXdNcn2GtsehRd7wuappGe9z1hifyuUIKgccXT2VlCN3QQVckev0gBF6vtw5TrIFDHSIsy1JjxoxR1dXVyrIs9dxzz6np0z9XplmhbKdSObJCBc0iVV6Zp4JmibKdoLJt9wiZVaqoOF+ZZkjZtq1M01SmaaodO3aoTz75JHoN27bVokWLVCgUUpZlqWAwqL7//nsVCASi3yksLFS7d+9WlmUpy7JUKBRS5eXlh3o7dYRU/++2W9XChd8o0wwpx1HKsd3j2IajQmaFeva5f6rPPvtYKSWP9IB+cxwyP0okozbiR7/qqqvweAyE8KCkJBgK8s67b7N+w0/07z+QS0ZejqEbSOVmpz733HP885/P4PfFRT1H6enpnHXWWdFrSCkZOHBgdN9jGAYdOnSoteKnpaUBexhDNE2r30KtvaDrLqv78VSDrpTreVRKYdn1XcbQMHDIb9u2bUzTjG6uk5OTwx4qHfCyYUMO+fnF/OXW25g7Zz67CndFPUWrVq0iMzOT5cuWA3tqlCNpJRHouh61b1UNB8HeiAgqHH7OqbS0VLf1wXHG0i4QZGVlER8Xf6SHckRwyAKi6zo9evSola1qGAaapqNrGq1ateXWW/5Co0ZZrpdDdxMPg8Eg69ev5+KLL+brr7+OlupGhGNvsi+v1xutkIv8vqY7MXLdCCfV4YbP569BJbrnOJYRWaDKy8uoClTVyzkbGnHDIZtYHo+Hq666qtbkBhCaGxlOT0/GskKsXruKxo0zSU9PxzAMioqK8HjcnJ6ioiICgQBJSUnAvpvlvf+/PwH4rX3vlZWVlJaWhvmwftNLHzEo5WZIxMXFEx8Xd6SHc0RwyBokwkpRO0lNhVMpLJSy+P6H1Xz66QdcddWVeAwP0pEsW7aMQCDAnDlzSEhIYM2aNQ3KRWgYBgmJCceNcEBkYRIkJCQQOk5Len8RialhGFiWVcvNF1GbxcUlTJz0FpdcMpKSklLi41JBCFavXsONN9xEkyZNyc8vZMKECQwZMuSwbqzrE45jY9tWjaTHY19SImZ0XFwcpmkf6eEcERyygETMn0jKhAuBlG6qwsaNW9jw01ben/I5JSXFjB17H02aNKF1q3ZkZmahaQaZmZnRfUxDQUpKsltNGcnIPQ5UiQrTDAkhCAaD9XLOhhZ5rzca7Mhq06dPX9599z3i4uJwHCfK/nHllVdGN30ej4cLLrigQQlIXFy8y6hyHFXeCeEml8b5/QQC9SMgDQ31JiARL5TH4yHuGNzQNWuWSUpqCprwuqn70crCYytRT4WphaSUbNiwgfHjX6B161bccMN12E4ovC/R0LWGYRr/WjQsfXcE4fF6CYVC4RqYYxsRF/y6dd+xq6iQ5OQkAtUBpCORzvGx/4ogJiB1hJSSyspKGpBV+ItQ07N4ySWX8PLL44mL9/PYo4/x+htvkp2di5LH+EOogZiA1BGVlZVR2qFjGZF9oftTkpqSwBVXjObee8eyYX02L7/0ChUV9RM0bAiI9SisI3w+P9VVFQ0qdvNLEaFdchybgl15vP32exQXlXPhhSPp07s/ySkJR3qIvxliGqSOiPP7cKLkD78U+9akH42IpIO8/c47XDJqFM2bN+ehhx7i5JNOJj4+vkF5H38tYhqkjpBSYlrWr0hxaTg9PyL3eOklo0lJTmf6jE/Yvn0HF114MR3adwGOgzqQMGICUkd4PJ4oGfWxbmZF4lXJycmMGDGCM888jVWrl/PMM/8iMSGDsWPvo1mzpkd6mL8JYgKyDyzcLlO14THSMEM6UoISEWZvDV1z3Z57Wx37yJACpF77/7gsSOLoUiBuXxTAtoNsyF7NBx98QqDK5q9/uZsunbvj9erRthdAuP2FjWEAAqTjMt5rwu3CFdGQe5c1NATEBGRvKIP9PRZDKAIVJQhstAh3kYqQ4VEjR0shohOj1omJNueJhhIiOfNH12uI1K9Pnvwh7099l/79B/Dgg2NJiE8GNBzbQjf0aIuHRYsWceKJQ12WmHC9TEF+AYW7CpGOIiOjMa1atWqQe5eGJc6/CfbLgEdSghePcNCxENHDDmsCBdhIZSKVidrPXkMBSoVQykRhuj9VKMwGc3TBtm0sy2LUqMt4/LGnCQUd7rh9DDNmfkZZWSG64TIthkIh3n//fR5++GEqK6twc/Ik33//Pa+/8TqZmZm0aNGC8ePH8+OPPx7p2/pFOLqWrqMAkhBg4jiSisoKbNvBtiyKS0vYVVpC7pbNaJpGdSCAxxtP2xM6g5JI5VBRvpvVa1dyykln4uBEbXm3NZ2GY9m89NJ4vv/+B6qrg6SlpXL3vQ/QomXbnx3Xb4lIoZpSis6dOzFu3AMUFOTz0MMP8X//9wz/+fcLdOzYhUAgQGJiIn379iUYrCYpKR5d0/nflP/xu9N/R4vmLZBSMWrUKGbNmkX37t2P9K0dMmICshdkOEpcUrybe8beQ0lJCaWlpZRVBNE0g5XrfiQ1NY1gKMgFwy/khradEZpLkfrBR//j2wXzOeWkYSilRc2NCEmepvnYVVjGVVddT7euXUAIklNTj+Tt7heROn/bsVAyRO7mzUyfPpPmzVtz801/o02bE9B1nfT0dM4//3wWLFiAaVpRPpvsBFsAACAASURBVC3DY0QJuyOVn6WlpWEe44ZltMQEZC/owofjeEhO9PDg/f/AcRx8Pi/VysEf5weh4fN6kUqSFJ8Q7gatyNu2lV1FBSQlJYQb6EBVVRUbN26kT+9efP31N5w4+CRKSwNsWL+J1NRMfF4vSSnpR/qW94FLwSrZuiWXyf+byK5dxVw26gr69xuCrhvhRM09AcWmTZtimiGkUgilOOuss1mxYgWDBg7CMLwsXbqUM888s8EJB8QEZB8oaaNrCt2n0aZVUyI9UtCE65kBl0gPl6fYQRKoKuOd/73D6MuvZOr707AtDaRNZVkZ7709kT69/sEnn3xAp86diEv0sfK7pViqiqysRrRu34Kj7TVETMNgwGJHbjGaF4KhSkJ2JT5PMnp46xrpBOZqSoHAJdvYsjmPstIKZs+eR8eOHcnNzcWyLAYOHNjgMr2PrjdzFEAJ10MV6a61ceMGFi5YyJq1q0ApOnbsSOPGjRk0eDDNW7QCw8um3FyWL19B/s4iVq38nvatOnLJyIvw+nwYuo5C4fN6qKoKEJ+QyPkXDOfEk4YCEnGUBQlhD5l3165defa5/7Bx0w98Nv1jpn3yKaecejYD+w+gZfNmUY0wbNgwMjIykFLh8Xjp3r0HLVq0pE2bNjRu3Jirr74av9/fIInm6tRA53hChO+rtLSUf//73/zxj3+kdevWlJXv4oUXXuD++8ehCQ87d+ZTUFBI9+7domXDwWCQF154gdtuuw1d1wkEAtx///0MHTqUQCBASkoKbdq0oVGjRrRp0+YI3+n+UZNmSaogjiomf2cx8+cv48fvt3DeuSPo178XXp9Wq6kp7L9asOb5InubI42ajDw/N56YgOwFx3HdrhHOLZecAopL8nn++eejAqJpOkqBrtdmqTdNM0pqUVpayowZM7j44oujQbJIGsfRyoge8bppmsbWvE18/Ol7bMrZzJVXXEPnzt2J8yUiNDfWI6WsNckOJCA10dAEpOHtmg4zIqsi7KmSjBQQxcfHR122QJR1MPKQlVK1+Lu8Xi+9e/fG5/NFPz9aVtGDIZrNa4MVMtixvYj169cTDFbgyKpwjxRVp033npbZR/997w8xDVInKEpKChj/4njuuuse/L54Dra21GRfbIgTI2JmCgG2Y1JSUszEiW/y/Q/f0aVLJ84fPpKuXXsipcTj8ez3/iJluw2FteZAiGmQOqImH9jPoSGvmJH10tUOCl2H9PRURo8eTWpKOsuWrmLDxuwa39k/6vqsjnbEvFh1RJQnuA7lpg1RMGoiYj450qG4JJ8pU97ns09nMHr073n0kSdJTEyO2vEHEoKGukDsjZiA1BFCCHbt2oUjj77cqfpEzYmdtzWPW/96PVLCK6+8RvNmLVHywBvyYxHHx13WA0SkLdkxvmWryZjfokVLnn9+PCcOOZFx48YxYcJEysrLcBwn6u071hETkDrCMAzKy8tx7GN7YkRyp9yfHlq3bMd994/jueeexbKrueHGq/ns80/r1XyKmGtH4+ITM7HqCK/Hi9/vP+ZNrJqoKQNTp04lJSWFN15/g5SUNJQS0XhJXXGwPi/7v/6R38PENEgdYTs2wWAQ2zp+SJxFpAmKgvLycnr06EFiUmKdg2wuIgyUkR7zkUNGtUbErRwhiziatMkha5CDDfxokPjDibi4uOOKm1dKhR4OGpaVlWEYBh7Dg0JDE3od3bgyfAAoTDNEfn4+Cxcu5fLLR2Pbbs/64uJiCgoKCAaD+P1+OnXqhNfrjabIHymnwCFftaaE70/aD/T5L0Vdr3O4Vx1d10lOTj7ONEjkH+7ioGkatmMjDpl61C1FlspGSoeJkyawcuUKHMeJ7u3efPNNUlNTad++PfPnz2fatGm1criOFH6RgOxRiU70Z/i37N13/dfiQJN/zzVkvV7vQHBbNxtUB6sP2zWONrhFTwCC1NQ0l6jhF/HyuvNC1zQWLPwWn89Ho0aNiMyVBQu+JS4ujiZNskhJSeG8885j+vTphEKhI26V1ElAIglspmmydXMuX8+bQ1nJLoS0MasrmfflLGw7iJQWwVCA+V/Pw3HMeqm3jhADRCh3wiPCdkyktLGsIKZZjWUH2T/vVH1AIPCQkpyJ1xPH8bJ1kxJQLpO73xdPWWklQng4dPJqDdAoLinl228X8fvfX0FKahJSWTgyhG4ofD4NcPcmPp8vmgh5pHsaHtKbrqio4IOpUwkEqnjpxRfdFUXTmDZtGsXFRUgl2bWrkF27CkFQL0zoEXKAiRMnUlxcHP08FAwxf/5XLF22lJlfzGTtmrVRuprDAaWgvLwC0zx+2iG7cZ9IGbLAsuxfsKLvIb9YtmwZixYt5r///S9Tpkzmk08+Rtd1+vXrx0/rf6KwsBDHkSxatIgRI0ZEG7k2CBMr0s/8lr/+jdyt26kK2QjDh+7x89fbxjBp0ntIR2PaR58xcMBQBB6E+PVeZNM0mTJlCtu3bycQCEQ/f/pfT9E4K4M+fXpy3vBzWLJ0IR9N+5BfT+fp4PJi2ThOCNsOYttBQOENt0A4/FDRMdQ+fmsXswhTGFnoHgvLrkJwqMFSDdcXZHD2Wecxc8Zsxt47jptuupWLLx4JCNav30BaWjrz5s0jEAjw008/UVRURFVVVdScdxyJlKoW/5j7u73M7/2xux6Q7fXnF/A6zeBIZDXSHWrYsGG89957/Pjjj3Tt2pUTTjgBwzDYtm0bXq+X5s2b15vU+/1+rrzySp555planozi4hISE5IwDA8KMAxvvfcwLygowOf3kZKSghAimgbeEFB/dRgKqSSNGzfGNE13vyl+WeyjZs/Diy66MJqZMGjQIAYNGuQKo9IZO3ZsdMyR5+0OP8I8v+d8kfr/6P2J2terDRG5pWgjoJ9Dne5U0zRM02THjh0sWLCAtm3bkpWVRWVlZVQFdunShfHjx9OhQ4d6dclFXHxKqVp98n532umsWfsdmjAwTZvvvlvHqaecVm/XBfjmm2/YuXMn0pFR58Rvo0HqB7/WuycAx5EI3HdcUVERTWM/hFFEYx8g0XUR/um6iCMLj8fwYOhu3/vIvhP2ZBUHAlVUV1dRM5aye3cJUu45t3s40UNh1zgs91A2h2Jl1HkmG4ZBYmIin3/+OU8//TRbt26lb9++0Qk8ZMgQ/H4/3bp1Q9f16PFrEQlK+f1+ysrKwhNV4fcnsGTxMnJyNvPxtE9JTkrj228XYln2Xhv6Q4OUCsu2sB2bNWvX8Morr/DIo4+wYeNGunbtWsdz1A581eW7EUeEe0hs28GR7hERTtuxsW0bKSWWZWGaZrjr1Z5r2LZ7/7ZtR/8u4mQ5WA5V5He1xiIddE0HAbZtUV5evlf77/2jZhs3x7GZ99UclLKxHRPHsVi9ZiVbtmx2V3IElRWVTHprEo50ovf3+OOPU1JS4o4fycwvPmfaxx/iSAuFzY4dedwx5v8RqK7AkRa2Y6KU7f5eucR8th1k27ZcysuLUMrEcYLudxwrarbZth19ZvtDnb1YAElJSdx///2MGjWK++67r1YxTEJCAg888AAZGRl1OeV+r7G/I6KGe/fuTVZW1p6Bazrdu/ckIyOTIUNOpE+fvrRp07ZWdd+Bzn1QCNCEhm3Z5OXlccvNt3DqKacyd84ctm/fftgCVkKI2tpJgBkysS07yi+lpKK0tLTW6lpYWFgrAl1UVERRURFAlHhi5cqVdV4wagqVy7Er0YRGfHwCVYEA9gHSSw703kpKinnggfvZvCUXgcKRFpMmTeDdd98FXMFcuGghEydOoqqqCk3TyM/PZ/LkycyePRsA27JYuPBbPvvsk/Dkdvhyzmw2blzP3LlfopSDQGE7FlJaKGXhKBOlLL6aP4err/0Tjz7+IHO/mkV+wQ4qqyooLy+ndHdp1Co5kNDXeRcd0QaJiYmkp6Wxfv16BvTvHzUI60Nj7OG3rfmZO/gTTzwx2jEX4Oyzz8ZxJLqukZ6eTuvWraOuwT3nYp9/134QB8gNQlFRWUHTpk1pd0I7du7ciWEYeL0+qqvrEgc50GTc9yXsWeFtXn/jNX4/+vekpKQCkplfzCQ9PZ2TTz4ZKSXZOdn89+VXeeqpp/B4PNi2zV133ckjjzxK+/YnAPDxxx+za9cu7rnnbpSC3NxcxowZw6RJE2nevHn4He07PtuxCFYH+emnn2jUyOXSRbhZzEq47zc1OQURGXP4HFrUy7RnA13zeS9YuIBBgwbw6aefcsstt1CQX4BpmuTn76S4pJi01FTmz5/PueeezfTpn3PpqNF89tmn/OUvtzJ16lTOP/888vJySU5OomvXrixbtpRePXsxb948Jkx4kzvuuIMVK1bg8XioqqpCKZtAsIyEhAQqKyqprKwkd1MO2dk/8f7/3ic9vQlZjVvQuFEzhDC44ILhnHHGGQcktauTgNT8Q4GkpKiA+XNnM6Bv7zBHlEKpg6tex9mz0TeMfQXJXblAKRPTDOCPi0dKA+UIKqsqSUiIQ0ob0KioqMTrE/j9PqRSVFZWsqtwF61atQG87qq0cCFDhgyJ1pXPm/cVXbt2pVmzZtFy0pos7hGXpsINOm7Zspns7I3k5GQz/+uvuOaaq1m2bDmVlWVhd/KeiRHZKLp0Qa4HqryiHCkdMtIzUGHBULJ2yrxry2so5bBj5yZe/u8ztG3bnGGnn4tpVTN58mQSExMYOnQIQgjmzv2S7Ts28/0Pq+nZsyc//LiOisoS3ps8kfvve4BAdTXzvpoFQMnuQlJTkpk8ZRJDhvbjlVfHM/bese6EVxKlXLMpUFVN7uZNzP96LsuWrWBb3k6efPKfBALVaF5BuVNKoCLAkmWryPl+E01SW1MWKETqQWzbcQnjpKSsrALHdk1Un89HYmIil192GXPnzuX++x7kvvvuI39nMbNnz+eSkaMpKy9m6tQpnHTSSSQlxXPtNVfzzP/9H6effho//LiaRx99DMuuYuGi+WzL28n5543E5/PxwgsvYI/W6N6tL+3admH8C6+Sl5dHMBgiLs5Po0aNsGyLxMREvF4vP/74I3/PeRhN0zjttNMYdsYZdOzQkfT0jOje9mA49Fws6QZyEuLj3VVESXaXlJCUkoHhMQ54wYjsHNjMEQihKNldwquvvcTtt92J12NgORZPPvk4t99+O40bNwYU06d/RlaTTE477VQAlixZwpQpU3hx/EtomkZBQQHPPfcc7dq1o2XLlpimyQsvPM/JJ5/MHXfcEfaOOOENo6sxpJJh4nW3mi4pKYlzzx3OrFmzGD58OFlZjWnSJIuKiko0TaGUABw0TSKVu6JWVFSQvTGbufPmsmLFCq677jpOOvEk18lhmaBcvltHOtjhmILP58fn8/DRtGlcddVVTJg4kVNOHsayZcvIyMhAKcXatWvp3Kkzq1at4qabbmLy5Ml07tyZDz74gHvvvZc335xAfn4+G7M30qdPH5o2bcq0adO4/PLLyM/P54knnuC///0vf3/k7/h8PgKBQFRQc3Jy2LhxI4ahkZ6eQUlJCV9++SUZ6Y0wpUlyswR8uh+fz8ewM84ADaqrTVIykklpnIym6Xi9HjyGh7j4eBzbweP18PLLL5OWlkaTJllkZGRy0UUj+PDDj8jLy+OSS0ZiWdX85a+3smHDRq684koSE5No3749jzzyCB06dCA1NZU//P4K7rn3Xpo2ac5ll/0ej8dD06bNeOyxx3nllVdQStGyZSuaN28R9TBG7kvXXfb50t1l3HPPWPr37096enrUKRCZh5HF/4Dzdm/Shkjfh/39sRACgWTr5lymTJ7MnXffDUpx7bXXcsddd9KpUyf3b6LC4BAIlLF+w3oWLlxIQUEB9957LwnxyWH/ugvpyDBbiM4jjz5CUVER3bp14/rrr+fzzz4nOyebqqoq7hxzJ+s3rGfKlCmUlJQwduxYGjVqxEMPPUSfPn0AGH35aG655XZGXnwpn0//hKeffoypU6cBLk/V4sWL6dy5M9XV1dHEuFAoRHV1NY7jUFhYSDAYjLp2lVKEQiHi4r1UVbleu7S0NAzDoEmTphi6D03TyMvLIzc3l8LCQkpLSxFCcMMNN5CZmUlmZibx8XGEzADx8fGA677WNZ3XXn+Vs846gy+//JLxL4xnxswZLFiwgIKCIp544gl8Ph+33HILjRs1ZuQll3DSiafy4osvkpOTQ5MmTbjnnnvYujWXMXfegcfj4fnnnycxMZGHHnqIDes38eCDD9K9e/da5u/+TIlQKMTOnTtZunQpbdu2pXfv3u6iJhyUVLz19lts376dG2+8kcyMLDTtwOa0UoodO3Zw3333MX78eOLj47Ftm//85z8MGDCAE088EcdxyMnJ4bPPPmPMmDEIIbAsi9dee40rr7ySuLg4hBAsWrSIjIwMOnXqBLjNVFesWMHJJ5/8mxDR7aNBQqFQdFcfkcpgMEgoFKKyshJpW+zYnuduFMMbOo/Hw5q1a6iorMA0TQoLC7Esix9/XMeatSspLS3FNE1atGjBi+NfYvfucgzDQ2pqKh6Ph7y8PPr168ew04dRVlbOI39/lCefepLq6iCLFi/m1ltu5fU3XmfZsuXM+2oel156GcXFxXzyyaf07duXdu1OYMSIi7l37D3069cPr9fL7353GitWLmHR4sWsWLGC++4bh8/no0ePHhiGEe2BkZiYiN/vR9M0/H5/9H6klBiGETXRpLKYPv1zPB4PF110UbQ5TCQYattuOvzGjRv59ttv+fjjj2nbti0jR46sYdI50Q23QCCV5E/2n7n55ht5+umncaTktFN/x+TJU+jVqw+ZGZkopRgyZAhTp07loYcfRgjBiBEjuOKKKxg/fjy2bdO8eQvatGlDXFwcKSkpgNvC+e8PP07Hjh2Bn4+DCCFo1qwZI0aMAAizu7umWO7mXFatWsXo0aNJS0ur08RKT0/n7rvvxuv1Rhfbq6++Ovo8DcOgXbt2XHvttdGxGYbBNddcU4seafDgwbWyeRMTEzn1VNdyiDgDDif2EZAJEyawefNmgsEgSUlJ0ZRjXdfdlTUxgUBVBcFgMDq45ORkinbtom3btmiaRlxcHIZhkJ6eSUJ8EuVlVXg9Oi1btOa88y/E6/Hj98fh8/kQQhCoquI/z/+HXbuKGDx4CGnpGbRr154XX3yZlJQ0mjZtzujRf+Cxxx5DKUW3bj1wbJvJk//HypWrGTduHHFx8XTq2IVxDz7I1X+6Ea/Xy5VXXsltt99K3z4DSEtLiz7wyIONqGHYQ8pQc6MPe1ZbKS3i4xMoKy3F0I1afxcRKo/HQ9++fenVqxfXX3991EMS8eUjNDQRfrEIdKHTo0cPTjvtdAYPHoque4iL9/DnP11N46wsN11HKs477zx8Xh/JSclYlkVmZiZjxoyhXbt20X3Qn//8Z1fQhUu20K1rNx599FH8fn+dJpJt27z++uv8+c9/jr5zIRQKRVJSEpmZmXTp0iX6jH5Og3g8nqhwRp5Bampq9Dm75qWvlhYQQtRKcY+cZ28apcg1fhOovWBZVvSQUkaPCKRtqh1bc9VjD49T0goqOxRQV/7+MjV//pcqZFYp0woo2wkq0woo0wqokFmpNm/JVjNnfqomTHxVVVWVKtsxlW2bSkpbWZapQqGg+uKLmWrkyBFq164C5TiW2rFjm+rbt49avHihsm1TBYMBdfXVf1JPPfWEMs2QMs2gmjRporriij8oyzKVZZlq69ZN6vdXXKLKy8qVbUkVMkPqtttvUUuWLFS2bUfv6WBwHEdJKZXjOMpxnMhdK8sOqrnzZqk33nxFKWWFD/ug56oNWePv9hyOY6ry8lJlWSHlOLZSylFKOcp2QsqRISWlqSyrWll2tTLN6ui4bNuOHqblPm/bDiopzRrnrzuKi4tVdna2CgaDKhQKhY9qZVrVKmfTenXPvWNUKFSlbDuoHMdStm1Hn1V9IvLsjxbso0F+btOiAI/XG42qaoZBRkaGS60ptKhq1DQNJRUKjRbNW9K0SbPo76TjUlcq5eb6aJqgX7/+jBgxktTUdBxH0ahRFnfddTfduvVACB3D0LjsstE0adIETXNX/jPPPItu3bpHV7OmTZvx6COP4vOF1boQ3H333aSnNYquPHUxNZRS2La9j9va5/Ph8/kOdQ36GQgSE5PDTOmR1m2u30spdwVXKJSj9lm1ox4x5TLNSynRfmGm8bx58ygsLOScc85hzpw5tGrVipNPPgmvrrNzx046duy4h7gCopr2WOC+Ohj2EZCfm0gRwbEsC6HpIBUPPvww/jg/mu4KBQpCwSDFJSVkpDcCQ6DrHoRQlJeXs2XLNrp16xaNY4AgJSWVUaMuRQgNIdwXcOmll0YzSYUQnH76sPDvXaFq1KgxjRs3jo5V03Tatm2HkroryUK4ni+lH/Se9nd/e0eMVdiOLisrq/PDrQv2OERqTjQ3+1Up13mxfPlyAlUBBgwYSHJyGpE6itLSMqqqAgghadw4030fv6hewy2pdeMMy+jfvz+zZ89m4MABeLzxSCXp3s3tDhUxt9GODd6rn8M+y83eXKp7pxtrugdLCgKmjWZ40Qwv6emNiI9PRhMehNDZmL2RcQ8+wLRpHzFx4gRM00GgYdsWX309ixtuvIYNGzZA2KWq6xqGoRMX50fX3f97PC6XrcdjoGkCTROuO9Gjo2ki+r3IZtvVWjqa8LpBS8Nl9tM1P7ruqXPZZk0GxZrf1zQNgaiVD3ZoiHR7rX0IoYevWfM5qyg5xPvvv8+0adPYuXMnd955F8FgCKksvl0wh1dfewkhNFasXMK4B+/DDNk1zn1oWLNmDSeccAIXXnghTZo0wev1YhgeBAYDBwyhd+9+eAw/huFDhMttI8++PhGxPo4W/KKKwoSEBM49d7j7QaSw3/0PAIFAgJEjL+aGG65ny5YtlJaWIZWbVrBmzSquvfZaZsyYUStoVj+o3Xhz3///CijweD0UFxdTw/D5FeM7+Lgik6R169bcN/Y+Lr30Unbv3h3Ok7KZOGkiI0deTGZmBmedfRa6obN8+fJfnO3fokULgsEggUCAN998k5EjR0bNScPwYBiRQqljX2vUxCELiKZpJCcnc+GFF+539RBCp2ePvvTqOZAXx79G8+ataNQoA5B8992PfLdmEwnxKXz77bds3ry5Pu7hN4IiMSGRxMREd5LaTp1oSH8pbCsEymHw4AFUVJQy7sH7+Mc/Hic+Pg7H1khLaYquuXXiHj2ReH86cXHh4C2H3lr6jjvuoHXr1vzwww907NiRH374gWAwGE0hOppW9d8Sh+WuLcvirbfeIjMzk+uuuy4qSPPnz+f000+nTZs2DB8+nJkzZ/527rpfCUdK0tLTyM7O5oUXXmDDhg1Y1uGrLvR4vUilKC4u4fEnnuDaa6+jeYuWKKWiLuxvvvmGYDAYNlep4fY9dEQ23YMHD2bEiBGceeaZ0aDm8YzDIiCrV6/mo48+oqioiKeeeorc3FwqKyv57rvvOO+88+jfvz+XX345GzduxDTNwzGEeoemaaQkpzB27Fg+/vhj7rr7LrZs2XL4LqgEmmbw6quvs2bNWl577Q0effQxdu/eTVlZGbNnz2bVqlUUFhayatUqdu7cyVdfffWLL1dTQzSUReu3QL33B1FKkZ+fT05ODkK47Hu9evXC5/NRWlpKZmZmdO8RSfWIvJyjTY3XrHGvqCxl4YIFvP3O2wwaNIg//elPJCWlYOiHJ91BhutAdu7ciWmGiI9PwOv1kpzspsBEFpZIf46a3sfjwbv0W+GwCIgKF8wAUU9HxD0YSWGJfC/SsD6S2nE0IVJ4tWDBAp597l+ccEI7brzxRtq0aeNW2Wn6YROQmq3goLb7veZnkecYWVxiAlK/OCxLdkQI9vcya2oLTdP2Kq08uhAZc/PmzRk6ZCjbtm1jxowZUXYVsS8LQL1eW0pVK6mz5lJWU2COxmd3rCDWgu0gqPloLMukuLiImTNnMO3jj+jVqyfXXns9rVu15XhzfR4tqJmjdbgWiaPLpjmKIQQkJSXSvv0JaJpGdXUIcZwQyB2t+C1MyZgGOQgixAMrVizniacfxOP18uTj/6JVq/bomoFQAiOSPhVFhM18f481th41NMSWwJ+Brus0zsrinLMvJC2tMZ99Pp0tW3IxLRNHWjHr6hhHTIMcBFF2D6VwlKSsvJRly5by9Tfzqays5OYbb6JH157UlpKYBjmWEHtjB0FEQNwKQEiITyAtPZ2ioiLKy8qRNdaWiooKJk6cyLp16/jzn/9I/wH9ANdM++abb8jL24aueYmLi2P48OH4/X4g5oU62hETkIMgUnJsWSYbNv3IpLfeYufOAq655noGDhiE19jDdL5+/XoSEhK4//77+ec/n6RXr554PB5WrljJnDlzuOOOMWjCwwMPPEBlZSV//OMfY/GKBoDY0nUQRCbwho0buPPO/8f27ZsZN+4BTj7xFHxeP5q2Z33p2bMno0aNCqd7CDRdR9N0Vq1exbBhw0hNTSUlJZk///lPfPXVvCg5RgxHN2ICchAI4XZ87dWzF2++9jaD+p/Ig/c9wH9f+g+bN21AOsFoFkDk+6mpqZSUlFJcVIqUgqZNWhKstpEOWHYAoTk0apSBrmtRLrAYjl7EBKSOaNKkKTffeDMvvfQSAsHo0Zfz8ssvYVlWlC5o27ZtnHvuubRv356cnByklJx++umYpkllZSVKKb755htGjbokfFa3ECyGoxexPchB8P/bu7/fpso4juPvp+d0K906aBxMdJuwaECHyUxMFORCA7KEmxkDySTjAu40eg8hUfECo17If4BBEX/AFsAIN9tMjAHvyMhkCYxF1pW5rJis7ba25znHi9N23YwnZ0PWdfu+breLdj2fPud59j3fb6FYUWuL4XuDnD//PX8MDtHZ2cVvv/5OsKqKYNB9ei8ajXLhwgUGBgbYs2cPO3e63RBv3LjByMgIzc3NtLS0sGnj04yP03sMhAAABMNJREFUT5LN5giFjHwHj7X5MRQOQFYyOeb14DZSUAwN3eb9D95Da83pL0/T2tpaPHkyzSpAFTuqZzKZYoVy6XyL0sLMgtIGF2tNochypRdXSkA8FDbSuVyOiYkEfX29dHf/QFvbixw5epjGxiaCZi2g/jXuoLQQc+Gz/aUXxkq/QB6Xwt5tpf8NJCAeCiuIbdsoAtiOTSo9xeXL3Xz40QmOHTvO0SPvEjSDa3IVeBQLm8FJQCpQ6bec1lkSDxP09PRw5coV2ve109HRQVPTlpK2QxISvxZedhKQClQISCaT4ceLX3PxYjevvrKLgwc62br12fxDXkbxd1d7E7W1SL7yPBT2FdlsljtDMarMdeSys2h7Ftu2sO25it+V+g0oHo2sIB5KZx1aliaR+IvLP3XT19dH6/NtvPXWQbZvf674XLjcYq0+a/MA3qe5CUQORnCGcI1iY30DoaoN1EXqeWpz47LMqBDlIyuIh8JZvaVzdPec4+rPV9m/v4M3Xn+T6IZ6DCMwb2S43GatPrKCeCiWuxNgZiZLIvE3gYBBTU0YVL6biJLbqtVMVhBfHLSdZWwsxqlTn3LonS527XrNbZYt+45VTT5dn7Tl0LBpM+372pmYGCdggFL/9eSgWC0kIL64Xc0Nw8QMBklPp7Bt7U7GLfbGWhAUB7eRVX7AjeSoMskexCelTJTSKKXJ5TI4tgIVwCYLSuVnoBvu5CzttglyyAEOjg6glEnAVNLkocJIQHxyB6M5aG0RClXPVes6GoVR0gbUBieAY2tAowJzs9glHZVHbrH8Ugpb20SjUe7cvQuA1jY4MDExzvnvvsHS09jODDCD7WQ5e/YsX3z2OVpnsO2lTqYS5SQB8alQTjIaG+XmzZvMzmZQSvFgfJyTJz+hr68/P1zU7aerLYvY6CiTk5M8iMflfyQVSgLiUyB/gcfH4sRiMeLxMXAgnZrm0KEuamoiaMsmoNwZ6sPDw4TDYXbv3s21a9eQXXplkoD4pRTpdJpbt24RiUQYGBjAAbZte4GX2l7GyjnuRjxgYhhBrl+/TiwWY2hoiEuXLpGcSpb7HYglkID4pIB4PM69kXukkkl6e3vzPwngOOTHVbuz37XW/NLfT+uOHbS0tPBEfT39/f1lfPViqeQUyycHuH//T5oam0g8fIhhGGSzFqbpHu1OT8+SyWSorY1w+/YgoXXr6Oo6jGkaND+zhXPfnuPtA53lfhtikaTUxCdbO8xmUoxPjHLmzFecOP4xQTMEysGyLAYHB4vNHNLpNMlkkicbGooVwclUimg0Wu63IRZJVhCfHMehurqaYDBIKpnEMA2UAttxME2TtrY2wD3tqq2tJRKJABT7+q5fv76Mr14slQTEJ7do1yRUtQErZ2IE3IekTDX/TyjFi49X4bg9k8lQXV392I/P5dP0qdCFI5fLMTU1Na/Fj1h+yzXwVQKyCI7jEA6HqaurK/dLWbMKJT3L1SBDAuKTYbjPfoTDYfbu3YtlWfN6O4nls5zN5uQUa5Fs28ayrOIYa9lzrG7y6S5SoXvJwj67YnWSFWQJKqErufh/yAqyBBKOtUMCIoQHCYgQHiQgQniQgAjhQQIihAcJiBAeJCBCeJCACOFBAiKEh38AlKex80EkfMcAAAAASUVORK5CYII=)
physics-General
physics-
In the steady state, the energy stored in the capacitor is
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)
In the steady state, the energy stored in the capacitor is
![](data:image/png;base64,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)
physics-General
physics-
In Wheat stone’s bridge shown in the adjoining figure galvanometer gives no deflection on pressing the key, the balance condition for the bridge is :
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9fLBZj9epn2b17N7fcciuFhYVnNfh2DuGdvtXu3rObjRs3snjxYjRhdJhycTacLbBBKZuygwdYsWIFRUVF3HjjjYRCISd2UNMB7Yxtbs30d0SKZjtnUiV8To//b5ZZ1SzJSinF0aNH+e1vfwtofPOb36awsA+G6+I606fzcPpkeBHOzft++qdjcLZx0TSdvn378b3vfY+AGeCRR/7A/v0H3J60NCdnn7/T5/Lcox1brcSWFkpKpLJBgabpSKWckHXdWWEerJhAKNcTgSQSi/DOO++wdu2LLFy4kLFjxwDE+VSTvyckeCdcZ76UTki+Y045292db09TCnTNJBwyufHGRRw8eJAnnniCsWMvYPqM6Ri6hqbZ/hasaU3buFKKaLQRTdc5dOgQR44cIRqN0q9vP/r07UMwEEbXz/2ib9cTpXSI71TVSX79m/+k9KlShACp5OlDLmwsFcPGpupUFb///cPs2rWb//W/fsiYMaMTsru6ihziaJS2+2mqqyKVdBJtmv1LNhxFREfTdHTdoF+/Ir7znXuorq7mZ//2bxw4cADLjmFblhOpndBmSSQa4eGHf8+qVc9gGDo9e+aybv3rPL5ypdPnDkCrOJ4jBjQ5oDVNIxKJ8dya5+jXr4itW7cyZ/YcMjIzHOJTwmfxMaJYwmbbBzt5uvRZrpp3NReOH0cgoDtcpAtQW6Kc0xQOJYTAtmyqqqqwbRvbsh3uLpsSiXRNTzqTbj6Guq4TDAa57rrrGDp0CA8++CAji4dzw/U3kJmV6UbIKJdRCF566SUA7r77bn/7Hjp0KBUVFR2mTLVpq/Uy45WUvPXWW2RlZTF79mw+/vgglScqycjI8DPoLdtC0zSqG0+was0qTp2I8M1//Ed65/dGRyGIoWsel0vuzMXnddi2RWOknu3bt/HOO+8ghMA0TUKhEI/+30dpbIyQlZXFZZddRs/cnk5qpqDTtN3WwiOgMWPGMHDgANY8v5r7H7ifhQsXMmjgIGzhiEmWbbF9+3auueYa3xTj2RDz8vL8+jHnGq3Sap1MfOlvQR/t2s4TTzxOQUEeSsH+/R9z/fXXM3nyZJRUPvHt2vMRL7/7PMWjRzG++BLSAjmYQscANKKAQmhBugLheVysvPwwf3z0YYqKipg5Yya5ubm+/Om59Hbv3sPza5+nf//+3HDDDQSDQSdkSgiSIeO11J+maVVIaWFLx/hcWlrK6NGjueKKK3zifOih/yYzM5MFCxb41oaHH36YUaPOY/ZlczrEYO4S3tm1Fy9UHRSHPjnEa6+9yrwrryS7WzaaprN+3evs2LGDu75xN0qBFbN47rk1bN6yhdvvXErRgCJ0EUQpHQMNZxE5soPWLC0vGYjFYn6AwvLl/8W1181l5IjhRGMxNm/eytatH2KaBo2NUXJ75HLllXMJhUKsWLmCbt26ce0116Lpmmu66Gr18RS2baGw/Qjv0tJSKisrWbhgId27d6O6pprf//73fnxfVVUVkydPZuolUwkEQn7Os5N20OzpKj6JPv6bsxepFEoppZTElg1I29kinXJbui/HNFnsm2Q3x2GuiFlRwKkLcuLESR566BGyMrtx++1fJzMjE00JdAFoFggLNAOUCcptUBcooGnbNpZl8Ytf/ILrrruGoUP7UXniGD+/9z/4wff/iR498kAJhNARQmHLCIZuomk6f/rTkwwfPpLzzx+NEFqcr7WrINEuCRCNRREItu/YzoqVjzFmzAjS09MRAiKRiNsP3ef0kWiE9LR0J0IHaGhsxLZs131oEgqF6d49hwvGjicYDNOaCfV56CuvvMbLL7/E4MFDME0Ty4phGAbhcJiGhkZ3+7SR0uGO9fX12LaNaRquAV1w4sRJwuEQd9xxB4FA0FkNmoEUAoGOx+WEsGmiuK4xSd72lJ6eiSJARcUpMjO6UZDfi9q6Gt54YwPHjh1j/YYN/OTHP6GwTx8s2yYWi1FZecJ/xpcBmubkolRUVKBrOr17DaR79+4EA0EaGxswTROhaa75CEChubGDXhCC5pbSCARMysvL2bhxIxMunNjqNviE19gQ5dJZc5g6daofe6aUdIXNpgGVSqJrGm57/Mx527ZBKTZv2cwv//M/uP666ykuLsYWFlKCobsFbxQgbAS2czPJ32q9o6GKi4vZtWsXhYWF5OcVUlcX4fjxSrrlZDJ9xiVUfHaUN95cT8+8nijpuKo2vvsu3/rmRLfKQNewQzaHlAohmozCJ06c4OmnnyYWi/Gj//3/kZGRBappvv0900vnVJ5iKUA4u51zjUQRxbZsPvnkcJva5BKeIBxOJxAIOtlMzRzy8UEgZ3IWaYYBKMaMGUvvXr14/ImV7PzoQ2bNnUUoLQ0pgmhSw8RASA2wuxLDQ0rJlClTuO++5eTl92DY0GHcfvttPLv6WXRDEGlsJBAwuWXpbZimSUNDA0888QQXTZjAgAH9XeWkqfhQV4JTb8XRYt977z1Knyrlyiuv5OKLL8bQzbjkoGazG5e+0WREbuqbBKd0gYDGxsY2dduV8RTPPbcG27a56qqrEKINuafxu4twrOBKWcRiETZtfpet+99l1qWz6FswhACZmCKELjU0pZzdVhdJnydPedI0jePHj1H61GPk9sxh0qQp9OyRj2EGEGgoJaivr+XI0U94+ulVDBkylKvmXY2um+i6gW0rTFPvAjJeol3SsmJUV5/iiSeeoK6+jhtvXEBhYW//MtMMtPM9kpgV5eTJkzz44EP8y7/8GF1r3Q5mAAihyMgIEIlEgBhN5cFa4djwkpncP0wzCAQxzDBTJ19Kn6I81jz3DCOHjebiCdPQAyBEAFsJR/FINtW5MAxHG83Pz+drX7uDDz7YwuuvrSMajWGaASKRqGtS0elfNICvLbuTnj17ulzOS7ZJ0jFTzRa/lJZT60XG0DWN/fvL+MMfHmXSpMlcdtmlBAIBR15rgYud/sDmaLpWKbc6lh5C1wKgWh88YTgPgEDQoLqmqn3cJyHf083tdLed/r2Hcfviu1m37g2W/9f9/MM/LCMvrwBQSAS6CJBsltc8AMEwAlwwtoSxY8cjbcm+/ft45ZVXWLJkCVmZ3QAjzrfs+D6hY6I42gQBHtFYlkXMivLMM09z7LMqli37Gn379nUuE5rf5rM8qFXQNYNYzKay8gRNRS0/H75ycepUNelp6U7NtXM4flIGSQvnMfuyqxk8qJjHHlvBeecNZ9asmQh0bFt31XLR4WHsrYcjYAvlaHOmESRghsjMyAahJWSaJZ3Y8IIaHBnO00IPffIJv3vodxSPKuaOO+50d6JzH1rmiSjxBSpbA5/wNKH5sXDNs9bbD0Ew4MkPJiNHFFPYp5C1a5/lN/+1nEULb6Igvx9S2nFlYJMNgaE3yTxSStLSssjL64VSGhpanEG1q0ASizUiNI1YNMa69Rt46823ue22ZQwaNAjT7LgMPM/o3Nbn+1dHoxHq6uucPzqMAAShYBrXXbuIuZdfy6N/fIJNm94DupoNTPgfITQaGyNUVVXT1tK4nQmhKSoqyvntbx8gFo3y/e//gEGDhmLogTZXx2r1O+MS59u6W/kczzBCblksWqxp0v7WJf7ppO4JRowopk+fvrzwwvMc/bScWTNnkpaWBrgRK0K4BQaTP9FeXb2uwZEBJLZto2lOpVBd13n77U289PLL3Dj/RkaMGAlomKaBlG4ETQdBCEFdXV2bdyzfjhcMpmFZFlI6hsGOKnXVtCoEWVmZzJ9/A1I6Avz69esZN24co0ePdjqhiS6xrZmmgWXFcELDkiGDOv5WIZTvslRSUfHZMVasWEFaWhqLFi5h4sQpfrlcb/50veMXS2ZmZkIgRWvgU1f37t05fvx4p2dzKUA3dIYMGUJhYSEPPvgg77zzDjfffDPZWTkJW3CyOI63qtsysOceTvyco0A4RS1Lnyrl2muvpaTkQsec4aKzc2q9HaEtaFIuNI1AIOCvmM4gPqXwjxrQNZ2M9Azu+c49bHhjA8uXL+eKK+YxZvRYfzHED2g8QcYnMncE4hdjRxGfUioho675e7zu1tTU8GTpk5w8eZLvf+/75PTI8bXK+Kr3nblAvCCLtsC14ykOHjzoBwB21opxbElx+RmWhWmafiGe59e8yN49+7jiiisIhUIEg00H1HlxY16d4dOLc59bhEKhDn9HQ0MDgCvrOuFaXhlcKSU7P9rO3/72N8aPH8+ECRMIBAK+rTe+bZ1FdPEVVh3ZvfXQoCkr3wuITJaGqWk6trTRNZ2C/AKWLl1KQUEBv/nNb9i/fz9KSf/T2NjImjVr+Na3vsWBAwfcU3POfbaXF/xpWVYHjEtiezdu3MjKlSudMHs38sc5QqGe1atX8+abb7JkyRImTZpEMBBE4JyTkWylxyts3hbt2d9qs7Ozqaur81l158CL2HX/EgrD5bZCKAxDMXXaZAYPHsCKlSv4aNdQLr30Uk5UnuAP//MHotEo3//BPQwY0A+ExLajjuHXzSM9FxMSHwp0biH9xWLZjmtr3Njzef2Vl/nk4McU9S9C2ZKKo+U88fgTjB0/nnnzrsIwDHd+mvrXUeHprYFSikAg4Bw02Hat1kF8EkvnILGhzc+x0HUdy45R2Kc393znO/zlL3/hn/7ph9TV1TFmzBiWLl1Kt27d0F2r+fETlRw/fpwBAwaQFs487fnthXSPo/J2hHMlihw9eoR9+/dy4YXjQemkp6ezaNEi/vT4Sm66+Wa2ffghBw8eZNGihfTu0xdEUzaeEMnndB68IIt4GfXz4BNeXV0dDQ0Nfr5EV4Gu66Ccqpy7du+iqqqK2267jRkzZqAJjZraGrZu3cqxz45RW1dLt27d6N2rN+FQxjmzg3vxhudaxqs8UckjjzzC+vWvc/vtt9MzJ59hw4Yx5/LL+d1DD5GVlcXd3/oWoWAQpZxDZAKBALFYrMPlzbbAK/nblgXpE57HMruOvxRsKbGtGDt27uCxxx6jR48e3PvzeynsU4ht26x/cz2vvvoq8+bN4/IrLictLY2m+ibnblJM0/Q1t3OpeI0cMZJ7f34vjz+xgh/96EfcevOtTLjoIkaPHk3//v15Ye1aHv7d7xgxciQXXnQxmVnZvm8U6BKmJq8N2dnZbbrPJ7ysrCyi0WiXWUUASkoOfHyA++67j3nz5jH3irlouuYkE615jkOHDpGfn09dXR3hcNjn1M5Bx+eOQAzDoEePHn7o1LmCEIK8vDz+8dv/yMrHV/LLX/6SqVOnMn/BAnr36sWim26ivr6ebdu38/yaNRyt+Ixly5aRmZnp3+8hWfXw2mv3TZDxPJNB58l4XiKK+5dSbo6qW5ZBNxg0aCjLlz9AOBRC1w1isSivr9tAXV0j3/7Wd7Btm9Wrn+O/fnMfV119NUX9+qHQkEIhRNOz28vFPfuap9V+MRtZ/IndblSJELz33hb27j3APT/4Hu9u3Mi9//+9zL9xPhddNJG0jHQmTJxAyYUlxKwYhm5w9MhBysvLCZgBeub1pHdhH3S9Kcmm+fx1NDOJxWJ8+umnbZJ/E2Q8j2N0Ftdz3ueUiUA4drzDhw+zadMmdF2nsHc/hg8fQTgcRilBLGaxd+9+jpQf5ZZbbvFtRzfddDOxWIwtW7bwn7/8Fddffz2XXHKJ3xcpJaFQ+8q1egnd4XD4C3OVWCwGOH2tq61j7dq1nKo+xcIFCxn9ozEEA2lMmTIDgHfffZcf//j/8MMf/pCcnO4oAdt37ODll1/m7rvvpk+/fkgpOXXqFBveeIMpk6f5fY03tnu20Y6aU6UUwWCwzU4HNwLZsePV19djWVanHUmkaYKY5RTBUUrxt7/9jcOHD3PZZZeR0z2Hjz8+xPLly50qSAEnymL48OEMGzbstE5qmsbo0aP56U9/ysqVK/0j37Ozs79QfzwbVW1tbYIPtH39dY423bN3Dy+88AITJ05k/sT52JaNYRo+NxVCMGHCBMaPH++2QUPZFvv27ePqq68mMyPTl8Wzs7OZPHkytbW17N+/H9u2GTJkCKlHQ3QAABDASURBVDk5OV+4va2FlNJXvloLDZxJ91IZO3Or9YzV0pYcOnSIV155hUWLFtGroBcZmRkMHz6c7373uwny25ngaVa5ubl8+9vfZtq0aaxYsYKtW7f6A+P9bGv/4l1CbdH4vW3aM0BHIhHWvrCWTZs2sWjRIiZPmoyu6ZjusVqevdCbwCZN0TEtVVZWUl9f7z8/Fo3x1ltvUV5+mG3btpGZmUnPnj15/PHHE67rqPmMd2V6imlr4S+HaDTqhtp0nn3IKzKt6RoHDx6kpKSEQCCAYRgugTjt8rLbV61axbXXXkteXt5pnWzOAYcPH06/fv0oLS1lz549zJ49m+7duwNNC601UEoRCoV8M0a8264199bX16PrOhUVFbz88l8YM/Z8rrzySj9hPrHdiccPxD2JWCzK5ZdfzqpVqzh+/DiGYXDw4EEyMjK4sORCCvL7UF1dzebNm5kxY4Z/cmRbbGvtgSf3xp9R1xokjH7nn/rnVCywbZshg4fwyiuvMHPGTLK7ZVNfX8+LL75MOJTG7NmzqampIT8/v8lk8jmLQ9M00tLSWLJkCVu2bOG+++7j0ksvpaSkpBX9PJ2ow+Gw4xv9XCTea1kWa9eupbKykgUL5tOte5aTr9oOO1xhYR/uvPNOKioqkFJywdgLyM7ORkrFjh07eeutt5gzZw69e/dOaHtHynfez0gk0j6Ol5GRQUZGBtB5yoUz+AamadKnTxE3LVrCW2+9SyBgcvJkFSNHjmTUqFFomsbAgQN5//33aWhoIC0t7XNXsVd3T0rJhRdeSP/+/XnmmWfYs2cP8+fPT9DgE42fp5d8kDJGfX0NkUg94XDaWd6qiEQaQDgTfujgIV566SWGDRvGtdddhWkEXJcenG5nPHvyjVMtVSccSicjPTtu/JyjqGKxGIMGDfJLqg0cOLDNjvv2wPPmeDF5rUVcBLLhR0d0XoRKYqDn8OEjGDx4iL8FeQPrtWfQoEF+Ka3PW13e4vGCH3Jzc1m2bBlvvfUW999/P3PnzmXEiBEJ17YM5VTQ1JyAUPU5hQqFEDRGGnj77bf54IMPuOmmm8jNzXXdXIL21k/26rI4vyd+p+s648aN88crngA6mol4Ml5BQUGb7vMJz7Ztjh071mmxeC3BiyvziMXT8ry/x4wZ43sR2tpG7zlTpkxh9OjRrFmzhp07dzJv3jxfpmwKK2pKdlIohOZGXyiJ3mwivTZ6tQMPlx9mxYrHKC4udg5uDgSd75XElrYfBHGu4QUPxB9N7/WnI+PzvPIfHtNqLRI8FzU1NZ2qXDSHZzM703eeYN8eoouX67Kzs1mwYAGbN2/m0Ucf5YILLvA5BjjVAHwoMHRH49eapTZCkynBtm3WrXudTZs2cvXVVzNi+Ah/uwfQOvCQk3gi60wPhrfrWJZFTU1N+9IbI5FIuzjJlxGeXFdSUkL//v159tlnOXToEHPmzCEjIz3hWiEElu1EXjj1jxOlMSklR44cYdWqVfTpU8g9372HsFvq/+8dnl3So5l2yXi6rpOWlpbUrbaz4HF1pRQFBQUsW7aM9evXs2LFCubMmU3//v0Qwi0mLoRTN9CykLZEahZKOJWupC1Zv34D27bt4KqrrqJv334YhpMSqWktnQPUdfzg5wLeAnZyj8+mdJ0O33NRW1vLyZMnO6SBXQ3NDxg2TZNp06YxdepUjh49yvLlyynolc9VV12FaZgoHHOBVBJpQ01NLU8++SThcJiFCxcyffpM/9kJIeid37VOhSfbeslQbYHP2kKhkHP8+d85t2sJ8UpMYWFv7r77bgoKCnjggQcoO1hGMBD0/ZFbt27lscceY8qUKSxatMj3g3al+LjOhLd7WJbVpoQfP9nH0xY723vRVeDV/vAIcPLkyRQXF/PCCy9w8uRJysrKeOyxx0hPz+SWW24hIyPjNM75VYWnFLZLxmtPGYK/F3h99vyijg4qyOuZx02LbmLDGxsoLy/noosuonjkeRhGkwfjq0x08VttYqX5z0dCXu1XeRBPg3DOgDAMg6lTpzJp0qRWloJoXW25vwc0t7W2i+OZpunncH7VCdB2s780obF7z2527txJLBbDsizy8woYP34CWVlZQHO7mVsu7IzoegcWfxF4HM5JxWxbzJ8/CpFIhKqqqq/kVtschu6sx2gsytq1axkyZAjzrpzHpZdeSl1dvZ/72rUqXHU+4gmtrUECCVTmHTTyVed4ACiINEZoaGhgwIABhMIhcnJyuPLKuezevdu3XzVPgI9Pim/++98bPCO5lJLBgwe36d6E+KD4Q4y/yvByPw59csg5/yEYdOLaNJ2ysoP079/f91E2Hyup/LKcgLNtK+lUeTL0wBmP4GxpzL9MDKC2trZN1/uEFwwG/c5/mTrcEYhEIhimzt69eykeWYxt2Rw7foxdu3axf//HzJ8/P8H0Al40tWTjxo2MLxnnB0eWlZURCoUo7F3oX9cSWiK8ZGWOtRbxJqjPPvusfVptW6Jy/95hmkEn90QP8MknRzhy5FmCwRBFRf1YsvgS0tPTfcKKX6RCCA6XH2T0mGJi0Rh/feVvZKSnM/WSqe5ZYhbRSCOaJtzjRgWxWMyPLNF0E8tqihju6oQXz6gikUj7tFopZRerepksOEGXhmFy9dXXnvVKXdcTAisUirKD+3jkDw9SUVHBgoULGT50OCDZu28PT/3pae7+xreIRqP8+U9/YuLEieT2zOX1117nlltvY8vmbezavYcbb7yxE/r5xRGfn+OJI62OTvFuNE3TTb9LfGAKZ4e33QDYtuRUVQN3/OBubFtS+lQpkXoYdd4oTlU1Ut8YY9v2HRiGzuixY+nVpw+9evWiT7+PKTt0iM1btrJgwQIsy0oQfboq4uP8nPPvWs5QbImZGfFWZ08l/qp6MNoLb6zq6uoQBAgFs0DAddcu4A9/+B+ECDJo4AgKCt4nIzMLMxBg3bp1DB46HE03mTTlEh7946MUjzrfP2w6udVHW4f4heG5XFvbZp/jBQIBvzRCyqTSPmRmZrJk8VLnLAxNJ6d7Ll9b9jVqamrplt2dW2/9Bw6U7Uc3A1x7/Xzy8/OxpSIStYlJRUnJhQn+367O8eKZVl1dnV9Rq6XrmsPneMFg0GeTX9VIi3OBQYP7uxNigxBkZqWRlh5C0yXpmemMOu98lMINLNU4cfIk//PH/2H6tGmEwiF/t/kyxEXGc2UvYarNHE9KmRA339VXW9eEAqLYUiGEgZIatpScrDrBrl07mHDRJMxA2Ccu27bJycnhe9/9nktozsluHtF9GebAa6t3fnGbOZ5SyjcgpwIG2gvlnNAmNDRhUlcXYdOmjWx48zW+/e27MDQQUvrEFXQz5pqjq5tRPMTX2vHOOG4zx4tnk18GNt81IdBEGkoJGhsi7NmzizFji+mWE2DF448w57KrePWVtxg6dCiTJ0/+0rvSPHrxON2Z+nNWjtc8E6srcLzmfs54F1WXXBgKpOWMWzAYYMzYUURjdQwdOpAtH2zkkUceoajfMAYMGOAv9K4wzu2F54uGpgr1beZ4nmYSf1ZCshHvaF+zZg1z5871y0h01Yw4oXm+XptorI7t2z/kydJSBBrXX7+AUcWj/cSYrjLO7UU8QwgGgzQ0NJCenn7adWfleJZlEY1GvUeelq1+Zpz9wqZcK9H8C/f2Mw+8F8sfCJhUVZ0kFoslyBItt9H7z46a0LP3VyobRYxjFUd4svRxtmz+gAkTpnDjDYvIys7GNJtOyISms25b8+z2Q51lOMTnv/YM93pzK6UkHA675424z/wcuBxPoogQjdWgaEShEYs5GfTSduU9twSDcs+gV8o5jUe5AZPK7ZxUsqnOmyaI0IBEoikdXeoIqWGoAEIagMQyHB+fVE5itKE3lXtVCHRDEInWc6r6BFJFsaWBJjT27dvLhjfWsWTJEgzdcI5bAl9b1DTNJ3bvO3/lKfx3egvPtmx0I1Goj69X5wynIGZFQNjufRIlnWu2bdvGipWPE4sYXH/9fCZNmsS3v/nPCVxZyiiKRqLRGJFIBNM0CQaCxKwYkcZG0s0glm071VtcuUnXdQxDx5YxlPA8JG4xS9WU5WtbFsq2EbqObVnYUqK78wYxhAaxaJRoLEp6eoYf0hWLWijp+IqjbjUsXddRUmIGAti27TsWPJOJrutEGhuxpERqGpFohBMnD3Oy6ijhcF+3TQIn6q5lcSIhr7a+vpEnn3zKr5VnmgbHjx/3M4iysrL8svK1tXXounMMVSAQpLr6FNKdBNu2CAQCpKenY2YY2MJGWQrN1gnpYWREEamLUN9YT0yPkNsz102Rq3drowgaGxsJBELU19ejlOLDDz9MaHg4HGbnzl3cf/8DhEJhMjLS3bohOg0N9U46onTKvjrlziIYhoFl2di25Q8wQM+eeXzyySG/kI9X6zj+1KBIJIIQWlwMmnOyUMj1UdY31DN96hymTZvl33OaIV4IUIJ9+w7w4osvEggECAYDRKMxbMsiLRDEjlkEgs65EYZh0tjY4OxIto0ZCiEQNDQ2YLptDASCpKWFkZbtK4Wa0AgGg5imiVKShoYaDNMJTbcty1l5wlmgDfWN5OTkYUtJXW0dtuuuMwImpmEiBFiWTTAYICMjk2g0gq7p1NTUEAibnKiuJD09gxtuuJFu2TleR/k8rudmmQlyc/P56f/5twQOpmmaf2ibd3KhEPgTKjxDp/v/vlbsxqQpwBYWQoCGDlKBFOjCBCWQSITu1T0WfkEc6Uc9NCkY3lEIzv8LGhojFBefx+LFi9GEcA7j0zzNXLltwG134nFLzldn0MCa/eaNg5ISoWkoCUpqzqEmSrnVn4Tf5ngxpblZRNN0UBojR46ieOQotz2a22/hcCyXU0tpu/Y+3U0u11AqUab1D1aR7nh7Bl2RyN1BOrJn3Lx5fVRK4Qy7W8ZW11smGeFwYWeX8+RYiaQRcMbDKXiu05rw/qacC+MMBQfF6dWJNK1pIlvKf9F8gldoGE5nEaAJlFAotxaEcwJPfFiRGw7k3itlzFkEQpGVlZWgNemaTm6PPATOmba6O0FNbRBnPPFGeGKNNzdnqQDldEVDNM0VfsGnuBc21VQ5k+wJKM0di8SnC+Fo60L3olxA6FqCtKpakMWUV1DD7WuL0y0AdJTAP0Qpfrkp8OnEFwvOQDeaZjSJ5m5jDBGkqWGtP1/YryTQMYKtQKj4rcblOLTmdU4pCIUkFnVU9Wg0SjDgLJABAwbSv/9gf5K/iGmiLWfQOq84W12UMz/rbOP8eXMghESeRWFqkmjj0bzSS8IT3R+JEdNNbWkNvOfHfZo38QyP6vjIzxZe3NpuSQkIDdMIYZohDD2IUsIdJ+FqhN4Wem6a+8XQcY0QLm8/8ztVC2QpEq4403NPH7zWpmi2sFhaOQRCOgJbl4QXZuNpYM1jvbqiHS+F09ESB+3ShBefMAxdw5uSQttxVnNKV8SX3aWUwpmR2qtSSAqMFEdJIRlIcbwUkoIU4aWQFKQIL4WkIEV4KSQFKcJLISlIEV4KSUGK8FJIClKEl0JSkCK8FJKCFOGlkBSkCC+FpCBFeCkkBSnCSyEpSBFeCklBivBSSApShJdCUpAivBSSghThpZAUpAgvhaQgRXgpJAUpwkshKUgRXgpJQYrwUkgKUoSXQlKQIrwUkoIU4aWQFKQIL4WkIEV4KSQFKcJLISlIEV4KSUGK8FJIClKEl0JSkCK8FJKCFOGlkBT8P01wfU0Qh/NwAAAAAElFTkSuQmCC)
In Wheat stone’s bridge shown in the adjoining figure galvanometer gives no deflection on pressing the key, the balance condition for the bridge is :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAACWCAYAAAAv1jEWAAAgAElEQVR4nO29eXzV1Z3//zyf5S5ZIYQkECDsW1BAiIiArAqKuCOggDrSqrXt1G7znW+nvz6+nenU37TTdlDr2GqnfgVtjYqIaLV1AdwQBZRFdgMSMEIgZL/3fj7nfP/4LLk3BEwiyY31vnjcRxLuZznL+7zPez9CKaVIIYVOhpbsBqTw1USK8FJIClKEl0JSkCK8FJKCFOGlkBSkCC+FDoNSCilli9+lCC+FDsPZLHVGJ7bjSwMpJUKIhL8BhBAIIRIG1Pu/FFrGmYgvRXgtIJ64LMvi4MGDSClRSpGZmUm3bt0IhUIopdB1Pcmt7brQtDNvqCnCawFSSqSU6LpORUUFv/71r5g2bTqhUBAhNMrLy7n11lsJBAL+dSm0DSnCawFC2ShpITTF/r07GdC/NzNnTMSKxfjk8Kfs3bsXXdexbTtFdO1EivBaggJdaFjRKDu2byM3pzsfbN1CfX0d773/ATNnzUUplZLtvgBShNciNKRS1NQ1sG/vAe753j0U9MpHE4LMrFz2799PSUkJhpEavvYiNXItQEoQ6Bz/rJJIxOKF518kLS1MY6QB3Qxw2ey5mKaJpmlnNRmkcGaIVFjU6ZBRBShs2yYabUQ3NBQSXRNoug6a6W+zQoizam8ptIwUxzsNCiliCCGw7SiNVgOrSp+hrraWmxffTLfsbmiaQkobpZS73XrWeYFjk0/Jfp+HFMcj0WCslMKyImzb/iGrVq3i4okXo1DU19czdOhQnn76aaZPn86ECRMwDdPRal06EwjASCkdrUCK8MA3DgPU1tbw9NOlHC7/hLvuvIusrCw2vLGB+rp65l45l7q6OlavXk1FRQVLliwhNzcXcAhWKYWhh1KE1wp8JQkvvsueI1spxY4dOygtLWXylInMnDEDoTkE9MorrxCLxZgzZ45DVAo++PADVq9ezfTp05k4cSK6riOEQNeCCe9KEWHL+MrKeJ53QtM06uvr+etf/0pZWRl33PF1evcuQLj6grP1WtTX1/tEpGkaY8aMobCwkNLSUj766CPmz59PdlY2mlD+1p0yLp8ZX0l1zON4Qgj27NnDfffdh67rfOMb3yAvLx9N09CE+9E0wuGwK7/h3weQn5fP17/2dcaMHsMvfvEL3nzrTaLRiH+NE1yg4j4pePj75Xhx86yU8xECVxEQRCKNrFu3jo8++oiFCxdSVFQEONxMCPdaBEpK6usiSCkQGCgUCB1dONzMNEOUlExk0KChPPPMM+zc+RHXXnMteXl5LoE7yoe0JbpuIsRXcq2fhq/IKDgcR7ryXHl5OStXriQajXLXXXcxYMAAdF335bR4s4gQGmlp6UQiUedvNASa+72GUg6x9uiRy7JlyygZX8L9D9zHa6+/ilQ2ComUNkIDKe1z1yNXmfE+XzYkmeMpbGmhCQ2HOITDUXCmXgidttjE4qNdnTg5l9uhsKUkFouxadMmtmzZzDXXXEOvXr18t9eZlAClFGlpaZim2WIkiqZpvqyoFJx//vkMGjyQx1c+zocffsiCBQvIz8tHodB0gVI2rn7iDUFcm88sEyplN5l9BCjZJC44P79cm1dSWyulDcrGkjE0zRl027YdfuNueZrWuibatu077h0OIBPi6qqqTvLUU0/Ro0cPbrvtVjIzs/x7z6Z5CiGoqqqitra2xWsTlQiBEAEMI5uvf/3rbHx3I7/61a+47rrrKCkpAalQSGzbQtN1NCEQrttNCOFy0pbaorDsGEo6xKfc9zr3O1xZo22LNNlI+jJ56eW/sHPnDkCgaYJIJMKIESO4fM7lGEbrtUJN04jFYjQ0NPD888/TI7cbw4cNIy8/D13XOXjoY6prqlh6y2KCgXCrzRwe4QaDQXRd//z4O+EQhWEYXDzxYj6r+IwDBw4w7oJxxGIWZR8foOxgGdu37+Dmm28iNzcX0ww4W7ZunvGxkUgjv/rVLwmHQ2RkZGBZNpWVlVx44YXMmjkLKUziCa+ru/GSzvE2v/8ul102m5HFxQg06hsauffn93LxxCnk5IR9Geb0EHOHq8U/SymLUDhAVlY6L65ZTUX5WCorT5CekUnP/AL27zvAvr0HGDFyJIarPJwO77nO1i+EIpwWRCkb246h62cfMitmo+sGUtpUV9eybt0bDB48mP/4j18ipc3AAf2pOllFQc9e5ObkoSyFHnAIzrJsn2Ca97fi0wpOnKjkX3/6bxhmAE1o7Nz5EQ8//DAzZ8xGYSEAqUDzt+yuS3ydbkD27GdSSrZu3cxTTz9BSUkJNTU1vP322yxdupQxY8ZgGgaffnaU119/neuuuYG0tAwMIwjKGUxb2tgyilKSp596mgvGXUDP3J5kZmai6RqlTz6DZdksWLDA3bYFlmXR2NhIRkbGWbhWPOE5HO+NN99g//793HzzzWjCQD8LZ/L6JoSgsbGR9PR0/7tYtJptH2xi0zub+IdlX0dKQW11Hdu3f8SO7TuZPGMGw4YPc9um/OgXKRXLly8nFApy0UUXUV5ezquvvso999xDfn4+H374AZu3vEc4HOL48ePcecedCe/FV4a6Djqd49m27ctemzdvZubMS5k+fRogGDZsOC+++BfGjyuhoaGRI+WfsnPnLmZf1kA4LQNQIJTzQwBKYVs2CPj1r39N3759MU2Twt6F9Os3gNLSp5g1axY9evRA0zQMwyAzM/OMKXdngqdYoKC11hAhBOFwuFnfFU/++SkK8nvz4G8for6ugVA4DWlDZWUlw4cPRdM135Rj245MV1dXx/bt2/jZz35G9+7dOf/886mrq+OBBx7gJz/5CSNHjmT4iKF8tHMnm+s3fykM151OeJ4WaFkWGRmZnDdqNJowUUox4cKLOX7sBEePfkbffn0pKZnIxnfeQ9ed72Mx16ThUJ0vS82ZM4c9e/bwzW9+k2AwyL69+9i/v4y8vDxWr17NrbfeimmavrzW1okxTZP0tHTHhdYK2VDX9RYjlLdu3Y5mpNO3aDAji4vp378/mq7x4x/9C4sXL0EIBdhYlo1UzhgFzAANDXVcccXl5Ofn+8+9+uqrCYfDWJaFEPDiX15ESpvFixd/KQJUO32rtW074fdAoGnb8txTjqZoIKVkzZo1TJkymexuWVhWlFOnqvi/jz1KUb8ihg4ZTlFREaFwiOeee47q6mqWLF6CpmtI29H2LMsiHA63QdhO3GqllKzfsJ7yw+UsXLQQIXS0dpouYtGYa0B2OLdSktdee5V1617nRz/635w4cYI9e/eyffs2Pv74YxYtWsQFYy/AljaBQAgRxydisRhKOdvxyy+/xBtvrmfEiOH07t2bSZMmEQqG4t6c2moB/AFzOE8iV9B1A6WcbUlJmD37cjR3rnRdIysrg6KiPrz77kbq6up54cUXCIVCThTJhg3MmjmLwj59EJqGaXzxKGEhBFlZWRzRjvj2uvZaLTzO7UqP1NTWUvrUU/TokcO/3/tzNAHnn38eoVCAcDjIqOKRKGx0XbicLrFdzi4QY9asmcycOR1Nd4hL7+IaLSRpq4Um4otH84RpKWwi9XUgIBzyoj40Lp54CevXvc2UydMpKiqipqaGsrIydC3Apk2bKSzsh2mY/lb8RSCEwNAN0tLS0ISW4LNt87NcmnX1ZQ6WlTHugvGUlJQwcNBA0tMyaGxs4N9//jPmzr2SQDCEbVvomuBE5UkikRg9e/Z0fMnuxxMhHGN5/Pbe9KauiE4nvPiQ8bNf42xF9Q21/OxnP2PYsGEMHTKUUaNG0b17DrNnz+Gll17m9ttvp1u37px/fjajRp3X6ne0BQ2NDZw4cQKcVrX7OZ7S4LVq1KhRFBcXu98JLMvmvffeJxa16N9/IBs3vsvevbs5fPgTdu/az6JFi5k5c6bPeeNNL03PT3hju9va0ehSUqgXG9fk7lL06NGDmTNnsnnzZsaNG8df//ZXjhw5QlXVKQ4dLGfq1KmMGDGiRQ56ruDl0CoU2jmMr/OUEHDk3fr6OlasWEF19Sl++8ADFPXvy/jx4ygq6kdVVS0XT7oIcLd7ZIKftrUenq6CLtVaKSXV1dVEo1Gys7PQdCeRZsaMGbzwwgsMGDCAcePGIaWk4tPP2L+/jJqaGmKxGIFAoEMIz5vYQCDgurXOHeHFt9fxvFgsXbqUwYMHk5OTTSBgELOi/Ou//pSlSxeTFg6CUDQ21lN+pJwDBz5mxvTpIATBQMpl1m4IIYhGo/zzP/8z2dnZDBs2mAED+jNi5AiuueYannnmGe668y6EEPQudGx1vsDfQVAoGhsbqaysRCBQSp7Vmf9FkJOT4+RymCZgY9kx3n//faqrqwkEDNY8v5qysoMcP36M7du3c9eddxGNNRJM0GC/HEgq4Xm2OU1z0gc1oejWLZ3LL5/JwUNlTJ8xnW0fbufRPz5GKBTi7bffZsrkaYwYMRxdM3yNtSMJTyBIT0/3i/R0ZDydYejouubLuNUnq/nzn/+MZVm8/fZGRhWfx8UTL6b8yCEQFlMumUwolIYVk1jC9hfhlyH6Oak5F0rZ7Nq9nZ///N8ZOnQow4cPp2R8CTk9cnjyyVKEMLn5piX+9fGD2XGDe7rL7P3N77N582aW3b4MIbROCUHyXG9NbbJRWOzatYuHHnqI7373u3x69FP27d9HWVkZZWWfcMmUS1iwYAGmaTbT5lN2vNMwaOBgRhWfR3FxMQW9Clj93HN8+mkFsViUY5+dYOaMSykoKEhq4nQwGCQYDCbECnY0EvursGyLSCTK88+/QE1NHU8++RRDhgzhkilTueaa6/jv/36IqdOmYhhGl49MgSQQnsdgm9xXJoMHD2Xnzl3MmHkpo0dfgLRtPv20gkOHDidUZErWgBqGgaEb51y5OBsSo1MUujLQhMHcufO4885vkJ2VhWerq66uZu/evZSXl9OroJfj2lPxhhvVgqklufjCW21Lt5/NfmZZln9fLBZj9epn2b17N7fcciuFhYVnNfh2DuGdvtXu3rObjRs3snjxYjRhdJhycTacLbBBKZuygwdYsWIFRUVF3HjjjYRCISd2UNMB7Yxtbs30d0SKZjtnUiV8To//b5ZZ1SzJSinF0aNH+e1vfwtofPOb36awsA+G6+I606fzcPpkeBHOzft++qdjcLZx0TSdvn378b3vfY+AGeCRR/7A/v0H3J60NCdnn7/T5/Lcox1brcSWFkpKpLJBgabpSKWckHXdWWEerJhAKNcTgSQSi/DOO++wdu2LLFy4kLFjxwDE+VSTvyckeCdcZ76UTki+Y045292db09TCnTNJBwyufHGRRw8eJAnnniCsWMvYPqM6Ri6hqbZ/hasaU3buFKKaLQRTdc5dOgQR44cIRqN0q9vP/r07UMwEEbXz/2ib9cTpXSI71TVSX79m/+k9KlShACp5OlDLmwsFcPGpupUFb///cPs2rWb//W/fsiYMaMTsru6ihziaJS2+2mqqyKVdBJtmv1LNhxFREfTdHTdoF+/Ir7znXuorq7mZ//2bxw4cADLjmFblhOpndBmSSQa4eGHf8+qVc9gGDo9e+aybv3rPL5ypdPnDkCrOJ4jBjQ5oDVNIxKJ8dya5+jXr4itW7cyZ/YcMjIzHOJTwmfxMaJYwmbbBzt5uvRZrpp3NReOH0cgoDtcpAtQW6Kc0xQOJYTAtmyqqqqwbRvbsh3uLpsSiXRNTzqTbj6Guq4TDAa57rrrGDp0CA8++CAji4dzw/U3kJmV6UbIKJdRCF566SUA7r77bn/7Hjp0KBUVFR2mTLVpq/Uy45WUvPXWW2RlZTF79mw+/vgglScqycjI8DPoLdtC0zSqG0+was0qTp2I8M1//Ed65/dGRyGIoWsel0vuzMXnddi2RWOknu3bt/HOO+8ghMA0TUKhEI/+30dpbIyQlZXFZZddRs/cnk5qpqDTtN3WwiOgMWPGMHDgANY8v5r7H7ifhQsXMmjgIGzhiEmWbbF9+3auueYa3xTj2RDz8vL8+jHnGq3Sap1MfOlvQR/t2s4TTzxOQUEeSsH+/R9z/fXXM3nyZJRUPvHt2vMRL7/7PMWjRzG++BLSAjmYQscANKKAQmhBugLheVysvPwwf3z0YYqKipg5Yya5ubm+/Om59Hbv3sPza5+nf//+3HDDDQSDQSdkSgiSIeO11J+maVVIaWFLx/hcWlrK6NGjueKKK3zifOih/yYzM5MFCxb41oaHH36YUaPOY/ZlczrEYO4S3tm1Fy9UHRSHPjnEa6+9yrwrryS7WzaaprN+3evs2LGDu75xN0qBFbN47rk1bN6yhdvvXErRgCJ0EUQpHQMNZxE5soPWLC0vGYjFYn6AwvLl/8W1181l5IjhRGMxNm/eytatH2KaBo2NUXJ75HLllXMJhUKsWLmCbt26ce0116Lpmmu66Gr18RS2baGw/Qjv0tJSKisrWbhgId27d6O6pprf//73fnxfVVUVkydPZuolUwkEQn7Os5N20OzpKj6JPv6bsxepFEoppZTElg1I29kinXJbui/HNFnsm2Q3x2GuiFlRwKkLcuLESR566BGyMrtx++1fJzMjE00JdAFoFggLNAOUCcptUBcooGnbNpZl8Ytf/ILrrruGoUP7UXniGD+/9z/4wff/iR498kAJhNARQmHLCIZuomk6f/rTkwwfPpLzzx+NEFqcr7WrINEuCRCNRREItu/YzoqVjzFmzAjS09MRAiKRiNsP3ef0kWiE9LR0J0IHaGhsxLZs131oEgqF6d49hwvGjicYDNOaCfV56CuvvMbLL7/E4MFDME0Ty4phGAbhcJiGhkZ3+7SR0uGO9fX12LaNaRquAV1w4sRJwuEQd9xxB4FA0FkNmoEUAoGOx+WEsGmiuK4xSd72lJ6eiSJARcUpMjO6UZDfi9q6Gt54YwPHjh1j/YYN/OTHP6GwTx8s2yYWi1FZecJ/xpcBmubkolRUVKBrOr17DaR79+4EA0EaGxswTROhaa75CEChubGDXhCC5pbSCARMysvL2bhxIxMunNjqNviE19gQ5dJZc5g6daofe6aUdIXNpgGVSqJrGm57/Mx527ZBKTZv2cwv//M/uP666ykuLsYWFlKCobsFbxQgbAS2czPJ32q9o6GKi4vZtWsXhYWF5OcVUlcX4fjxSrrlZDJ9xiVUfHaUN95cT8+8nijpuKo2vvsu3/rmRLfKQNewQzaHlAohmozCJ06c4OmnnyYWi/Gj//3/kZGRBappvv0900vnVJ5iKUA4u51zjUQRxbZsPvnkcJva5BKeIBxOJxAIOtlMzRzy8UEgZ3IWaYYBKMaMGUvvXr14/ImV7PzoQ2bNnUUoLQ0pgmhSw8RASA2wuxLDQ0rJlClTuO++5eTl92DY0GHcfvttPLv6WXRDEGlsJBAwuWXpbZimSUNDA0888QQXTZjAgAH9XeWkqfhQV4JTb8XRYt977z1Knyrlyiuv5OKLL8bQzbjkoGazG5e+0WREbuqbBKd0gYDGxsY2dduV8RTPPbcG27a56qqrEKINuafxu4twrOBKWcRiETZtfpet+99l1qWz6FswhACZmCKELjU0pZzdVhdJnydPedI0jePHj1H61GPk9sxh0qQp9OyRj2EGEGgoJaivr+XI0U94+ulVDBkylKvmXY2um+i6gW0rTFPvAjJeol3SsmJUV5/iiSeeoK6+jhtvXEBhYW//MtMMtPM9kpgV5eTJkzz44EP8y7/8GF1r3Q5mAAihyMgIEIlEgBhN5cFa4djwkpncP0wzCAQxzDBTJ19Kn6I81jz3DCOHjebiCdPQAyBEAFsJR/FINtW5MAxHG83Pz+drX7uDDz7YwuuvrSMajWGaASKRqGtS0elfNICvLbuTnj17ulzOS7ZJ0jFTzRa/lJZT60XG0DWN/fvL+MMfHmXSpMlcdtmlBAIBR15rgYud/sDmaLpWKbc6lh5C1wKgWh88YTgPgEDQoLqmqn3cJyHf083tdLed/r2Hcfviu1m37g2W/9f9/MM/LCMvrwBQSAS6CJBsltc8AMEwAlwwtoSxY8cjbcm+/ft45ZVXWLJkCVmZ3QAjzrfs+D6hY6I42gQBHtFYlkXMivLMM09z7LMqli37Gn379nUuE5rf5rM8qFXQNYNYzKay8gRNRS0/H75ycepUNelp6U7NtXM4flIGSQvnMfuyqxk8qJjHHlvBeecNZ9asmQh0bFt31XLR4WHsrYcjYAvlaHOmESRghsjMyAahJWSaJZ3Y8IIaHBnO00IPffIJv3vodxSPKuaOO+50d6JzH1rmiSjxBSpbA5/wNKH5sXDNs9bbD0Ew4MkPJiNHFFPYp5C1a5/lN/+1nEULb6Igvx9S2nFlYJMNgaE3yTxSStLSssjL64VSGhpanEG1q0ASizUiNI1YNMa69Rt46823ue22ZQwaNAjT7LgMPM/o3Nbn+1dHoxHq6uucPzqMAAShYBrXXbuIuZdfy6N/fIJNm94DupoNTPgfITQaGyNUVVXT1tK4nQmhKSoqyvntbx8gFo3y/e//gEGDhmLogTZXx2r1O+MS59u6W/kczzBCblksWqxp0v7WJf7ppO4JRowopk+fvrzwwvMc/bScWTNnkpaWBrgRK0K4BQaTP9FeXb2uwZEBJLZto2lOpVBd13n77U289PLL3Dj/RkaMGAlomKaBlG4ETQdBCEFdXV2bdyzfjhcMpmFZFlI6hsGOKnXVtCoEWVmZzJ9/A1I6Avz69esZN24co0ePdjqhiS6xrZmmgWXFcELDkiGDOv5WIZTvslRSUfHZMVasWEFaWhqLFi5h4sQpfrlcb/50veMXS2ZmZkIgRWvgU1f37t05fvx4p2dzKUA3dIYMGUJhYSEPPvgg77zzDjfffDPZWTkJW3CyOI63qtsysOceTvyco0A4RS1Lnyrl2muvpaTkQsec4aKzc2q9HaEtaFIuNI1AIOCvmM4gPqXwjxrQNZ2M9Azu+c49bHhjA8uXL+eKK+YxZvRYfzHED2g8QcYnMncE4hdjRxGfUioho675e7zu1tTU8GTpk5w8eZLvf+/75PTI8bXK+Kr3nblAvCCLtsC14ykOHjzoBwB21opxbElx+RmWhWmafiGe59e8yN49+7jiiisIhUIEg00H1HlxY16d4dOLc59bhEKhDn9HQ0MDgCvrOuFaXhlcKSU7P9rO3/72N8aPH8+ECRMIBAK+rTe+bZ1FdPEVVh3ZvfXQoCkr3wuITJaGqWk6trTRNZ2C/AKWLl1KQUEBv/nNb9i/fz9KSf/T2NjImjVr+Na3vsWBAwfcU3POfbaXF/xpWVYHjEtiezdu3MjKlSudMHs38sc5QqGe1atX8+abb7JkyRImTZpEMBBE4JyTkWylxyts3hbt2d9qs7Ozqaur81l158CL2HX/EgrD5bZCKAxDMXXaZAYPHsCKlSv4aNdQLr30Uk5UnuAP//MHotEo3//BPQwY0A+ExLajjuHXzSM9FxMSHwp0biH9xWLZjmtr3Njzef2Vl/nk4McU9S9C2ZKKo+U88fgTjB0/nnnzrsIwDHd+mvrXUeHprYFSikAg4Bw02Hat1kF8EkvnILGhzc+x0HUdy45R2Kc393znO/zlL3/hn/7ph9TV1TFmzBiWLl1Kt27d0F2r+fETlRw/fpwBAwaQFs487fnthXSPo/J2hHMlihw9eoR9+/dy4YXjQemkp6ezaNEi/vT4Sm66+Wa2ffghBw8eZNGihfTu0xdEUzaeEMnndB68IIt4GfXz4BNeXV0dDQ0Nfr5EV4Gu66Ccqpy7du+iqqqK2267jRkzZqAJjZraGrZu3cqxz45RW1dLt27d6N2rN+FQxjmzg3vxhudaxqs8UckjjzzC+vWvc/vtt9MzJ59hw4Yx5/LL+d1DD5GVlcXd3/oWoWAQpZxDZAKBALFYrMPlzbbAK/nblgXpE57HMruOvxRsKbGtGDt27uCxxx6jR48e3PvzeynsU4ht26x/cz2vvvoq8+bN4/IrLictLY2m+ibnblJM0/Q1t3OpeI0cMZJ7f34vjz+xgh/96EfcevOtTLjoIkaPHk3//v15Ye1aHv7d7xgxciQXXnQxmVnZvm8U6BKmJq8N2dnZbbrPJ7ysrCyi0WiXWUUASkoOfHyA++67j3nz5jH3irlouuYkE615jkOHDpGfn09dXR3hcNjn1M5Bx+eOQAzDoEePHn7o1LmCEIK8vDz+8dv/yMrHV/LLX/6SqVOnMn/BAnr36sWim26ivr6ebdu38/yaNRyt+Ixly5aRmZnp3+8hWfXw2mv3TZDxPJNB58l4XiKK+5dSbo6qW5ZBNxg0aCjLlz9AOBRC1w1isSivr9tAXV0j3/7Wd7Btm9Wrn+O/fnMfV119NUX9+qHQkEIhRNOz28vFPfuap9V+MRtZ/IndblSJELz33hb27j3APT/4Hu9u3Mi9//+9zL9xPhddNJG0jHQmTJxAyYUlxKwYhm5w9MhBysvLCZgBeub1pHdhH3S9Kcmm+fx1NDOJxWJ8+umnbZJ/E2Q8j2N0Ftdz3ueUiUA4drzDhw+zadMmdF2nsHc/hg8fQTgcRilBLGaxd+9+jpQf5ZZbbvFtRzfddDOxWIwtW7bwn7/8Fddffz2XXHKJ3xcpJaFQ+8q1egnd4XD4C3OVWCwGOH2tq61j7dq1nKo+xcIFCxn9ozEEA2lMmTIDgHfffZcf//j/8MMf/pCcnO4oAdt37ODll1/m7rvvpk+/fkgpOXXqFBveeIMpk6f5fY03tnu20Y6aU6UUwWCwzU4HNwLZsePV19djWVanHUmkaYKY5RTBUUrxt7/9jcOHD3PZZZeR0z2Hjz8+xPLly50qSAEnymL48OEMGzbstE5qmsbo0aP56U9/ysqVK/0j37Ozs79QfzwbVW1tbYIPtH39dY423bN3Dy+88AITJ05k/sT52JaNYRo+NxVCMGHCBMaPH++2QUPZFvv27ePqq68mMyPTl8Wzs7OZPHkytbW17N+/H9u2GTJkCKlHQ3QAABDASURBVDk5OV+4va2FlNJXvloLDZxJ91IZO3Or9YzV0pYcOnSIV155hUWLFtGroBcZmRkMHz6c7373uwny25ngaVa5ubl8+9vfZtq0aaxYsYKtW7f6A+P9bGv/4l1CbdH4vW3aM0BHIhHWvrCWTZs2sWjRIiZPmoyu6ZjusVqevdCbwCZN0TEtVVZWUl9f7z8/Fo3x1ltvUV5+mG3btpGZmUnPnj15/PHHE67rqPmMd2V6imlr4S+HaDTqhtp0nn3IKzKt6RoHDx6kpKSEQCCAYRgugTjt8rLbV61axbXXXkteXt5pnWzOAYcPH06/fv0oLS1lz549zJ49m+7duwNNC601UEoRCoV8M0a8264199bX16PrOhUVFbz88l8YM/Z8rrzySj9hPrHdiccPxD2JWCzK5ZdfzqpVqzh+/DiGYXDw4EEyMjK4sORCCvL7UF1dzebNm5kxY4Z/cmRbbGvtgSf3xp9R1xokjH7nn/rnVCywbZshg4fwyiuvMHPGTLK7ZVNfX8+LL75MOJTG7NmzqampIT8/v8lk8jmLQ9M00tLSWLJkCVu2bOG+++7j0ksvpaSkpBX9PJ2ow+Gw4xv9XCTea1kWa9eupbKykgUL5tOte5aTr9oOO1xhYR/uvPNOKioqkFJywdgLyM7ORkrFjh07eeutt5gzZw69e/dOaHtHynfez0gk0j6Ol5GRQUZGBtB5yoUz+AamadKnTxE3LVrCW2+9SyBgcvJkFSNHjmTUqFFomsbAgQN5//33aWhoIC0t7XNXsVd3T0rJhRdeSP/+/XnmmWfYs2cP8+fPT9DgE42fp5d8kDJGfX0NkUg94XDaWd6qiEQaQDgTfujgIV566SWGDRvGtdddhWkEXJcenG5nPHvyjVMtVSccSicjPTtu/JyjqGKxGIMGDfJLqg0cOLDNjvv2wPPmeDF5rUVcBLLhR0d0XoRKYqDn8OEjGDx4iL8FeQPrtWfQoEF+Ka3PW13e4vGCH3Jzc1m2bBlvvfUW999/P3PnzmXEiBEJ17YM5VTQ1JyAUPU5hQqFEDRGGnj77bf54IMPuOmmm8jNzXXdXIL21k/26rI4vyd+p+s648aN88crngA6mol4Ml5BQUGb7vMJz7Ztjh071mmxeC3BiyvziMXT8ry/x4wZ43sR2tpG7zlTpkxh9OjRrFmzhp07dzJv3jxfpmwKK2pKdlIohOZGXyiJ3mwivTZ6tQMPlx9mxYrHKC4udg5uDgSd75XElrYfBHGu4QUPxB9N7/WnI+PzvPIfHtNqLRI8FzU1NZ2qXDSHZzM703eeYN8eoouX67Kzs1mwYAGbN2/m0Ucf5YILLvA5BjjVAHwoMHRH49eapTZCkynBtm3WrXudTZs2cvXVVzNi+Ah/uwfQOvCQk3gi60wPhrfrWJZFTU1N+9IbI5FIuzjJlxGeXFdSUkL//v159tlnOXToEHPmzCEjIz3hWiEElu1EXjj1jxOlMSklR44cYdWqVfTpU8g9372HsFvq/+8dnl3So5l2yXi6rpOWlpbUrbaz4HF1pRQFBQUsW7aM9evXs2LFCubMmU3//v0Qwi0mLoRTN9CykLZEahZKOJWupC1Zv34D27bt4KqrrqJv334YhpMSqWktnQPUdfzg5wLeAnZyj8+mdJ0O33NRW1vLyZMnO6SBXQ3NDxg2TZNp06YxdepUjh49yvLlyynolc9VV12FaZgoHHOBVBJpQ01NLU8++SThcJiFCxcyffpM/9kJIeid37VOhSfbeslQbYHP2kKhkHP8+d85t2sJ8UpMYWFv7r77bgoKCnjggQcoO1hGMBD0/ZFbt27lscceY8qUKSxatMj3g3al+LjOhLd7WJbVpoQfP9nH0xY723vRVeDV/vAIcPLkyRQXF/PCCy9w8uRJysrKeOyxx0hPz+SWW24hIyPjNM75VYWnFLZLxmtPGYK/F3h99vyijg4qyOuZx02LbmLDGxsoLy/noosuonjkeRhGkwfjq0x08VttYqX5z0dCXu1XeRBPg3DOgDAMg6lTpzJp0qRWloJoXW25vwc0t7W2i+OZpunncH7VCdB2s780obF7z2527txJLBbDsizy8woYP34CWVlZQHO7mVsu7IzoegcWfxF4HM5JxWxbzJ8/CpFIhKqqqq/kVtschu6sx2gsytq1axkyZAjzrpzHpZdeSl1dvZ/72rUqXHU+4gmtrUECCVTmHTTyVed4ACiINEZoaGhgwIABhMIhcnJyuPLKuezevdu3XzVPgI9Pim/++98bPCO5lJLBgwe36d6E+KD4Q4y/yvByPw59csg5/yEYdOLaNJ2ysoP079/f91E2Hyup/LKcgLNtK+lUeTL0wBmP4GxpzL9MDKC2trZN1/uEFwwG/c5/mTrcEYhEIhimzt69eykeWYxt2Rw7foxdu3axf//HzJ8/P8H0Al40tWTjxo2MLxnnB0eWlZURCoUo7F3oX9cSWiK8ZGWOtRbxJqjPPvusfVptW6Jy/95hmkEn90QP8MknRzhy5FmCwRBFRf1YsvgS0tPTfcKKX6RCCA6XH2T0mGJi0Rh/feVvZKSnM/WSqe5ZYhbRSCOaJtzjRgWxWMyPLNF0E8tqihju6oQXz6gikUj7tFopZRerepksOEGXhmFy9dXXnvVKXdcTAisUirKD+3jkDw9SUVHBgoULGT50OCDZu28PT/3pae7+xreIRqP8+U9/YuLEieT2zOX1117nlltvY8vmbezavYcbb7yxE/r5xRGfn+OJI62OTvFuNE3TTb9LfGAKZ4e33QDYtuRUVQN3/OBubFtS+lQpkXoYdd4oTlU1Ut8YY9v2HRiGzuixY+nVpw+9evWiT7+PKTt0iM1btrJgwQIsy0oQfboq4uP8nPPvWs5QbImZGfFWZ08l/qp6MNoLb6zq6uoQBAgFs0DAddcu4A9/+B+ECDJo4AgKCt4nIzMLMxBg3bp1DB46HE03mTTlEh7946MUjzrfP2w6udVHW4f4heG5XFvbZp/jBQIBvzRCyqTSPmRmZrJk8VLnLAxNJ6d7Ll9b9jVqamrplt2dW2/9Bw6U7Uc3A1x7/Xzy8/OxpSIStYlJRUnJhQn+367O8eKZVl1dnV9Rq6XrmsPneMFg0GeTX9VIi3OBQYP7uxNigxBkZqWRlh5C0yXpmemMOu98lMINLNU4cfIk//PH/2H6tGmEwiF/t/kyxEXGc2UvYarNHE9KmRA339VXW9eEAqLYUiGEgZIatpScrDrBrl07mHDRJMxA2Ccu27bJycnhe9/9nktozsluHtF9GebAa6t3fnGbOZ5SyjcgpwIG2gvlnNAmNDRhUlcXYdOmjWx48zW+/e27MDQQUvrEFXQz5pqjq5tRPMTX2vHOOG4zx4tnk18GNt81IdBEGkoJGhsi7NmzizFji+mWE2DF448w57KrePWVtxg6dCiTJ0/+0rvSPHrxON2Z+nNWjtc8E6srcLzmfs54F1WXXBgKpOWMWzAYYMzYUURjdQwdOpAtH2zkkUceoajfMAYMGOAv9K4wzu2F54uGpgr1beZ4nmYSf1ZCshHvaF+zZg1z5871y0h01Yw4oXm+XptorI7t2z/kydJSBBrXX7+AUcWj/cSYrjLO7UU8QwgGgzQ0NJCenn7adWfleJZlEY1GvUeelq1+Zpz9wqZcK9H8C/f2Mw+8F8sfCJhUVZ0kFoslyBItt9H7z46a0LP3VyobRYxjFUd4svRxtmz+gAkTpnDjDYvIys7GNJtOyISms25b8+z2Q51lOMTnv/YM93pzK6UkHA675424z/wcuBxPoogQjdWgaEShEYs5GfTSduU9twSDcs+gV8o5jUe5AZPK7ZxUsqnOmyaI0IBEoikdXeoIqWGoAEIagMQyHB+fVE5itKE3lXtVCHRDEInWc6r6BFJFsaWBJjT27dvLhjfWsWTJEgzdcI5bAl9b1DTNJ3bvO3/lKfx3egvPtmx0I1Goj69X5wynIGZFQNjufRIlnWu2bdvGipWPE4sYXH/9fCZNmsS3v/nPCVxZyiiKRqLRGJFIBNM0CQaCxKwYkcZG0s0glm071VtcuUnXdQxDx5YxlPA8JG4xS9WU5WtbFsq2EbqObVnYUqK78wYxhAaxaJRoLEp6eoYf0hWLWijp+IqjbjUsXddRUmIGAti27TsWPJOJrutEGhuxpERqGpFohBMnD3Oy6ijhcF+3TQIn6q5lcSIhr7a+vpEnn3zKr5VnmgbHjx/3M4iysrL8svK1tXXounMMVSAQpLr6FNKdBNu2CAQCpKenY2YY2MJGWQrN1gnpYWREEamLUN9YT0yPkNsz102Rq3drowgaGxsJBELU19ejlOLDDz9MaHg4HGbnzl3cf/8DhEJhMjLS3bohOg0N9U46onTKvjrlziIYhoFl2di25Q8wQM+eeXzyySG/kI9X6zj+1KBIJIIQWlwMmnOyUMj1UdY31DN96hymTZvl33OaIV4IUIJ9+w7w4osvEggECAYDRKMxbMsiLRDEjlkEgs65EYZh0tjY4OxIto0ZCiEQNDQ2YLptDASCpKWFkZbtK4Wa0AgGg5imiVKShoYaDNMJTbcty1l5wlmgDfWN5OTkYUtJXW0dtuuuMwImpmEiBFiWTTAYICMjk2g0gq7p1NTUEAibnKiuJD09gxtuuJFu2TleR/k8rudmmQlyc/P56f/5twQOpmmaf2ibd3KhEPgTKjxDp/v/vlbsxqQpwBYWQoCGDlKBFOjCBCWQSITu1T0WfkEc6Uc9NCkY3lEIzv8LGhojFBefx+LFi9GEcA7j0zzNXLltwG134nFLzldn0MCa/eaNg5ISoWkoCUpqzqEmSrnVn4Tf5ngxpblZRNN0UBojR46ieOQotz2a22/hcCyXU0tpu/Y+3U0u11AqUab1D1aR7nh7Bl2RyN1BOrJn3Lx5fVRK4Qy7W8ZW11smGeFwYWeX8+RYiaQRcMbDKXiu05rw/qacC+MMBQfF6dWJNK1pIlvKf9F8gldoGE5nEaAJlFAotxaEcwJPfFiRGw7k3itlzFkEQpGVlZWgNemaTm6PPATOmba6O0FNbRBnPPFGeGKNNzdnqQDldEVDNM0VfsGnuBc21VQ5k+wJKM0di8SnC+Fo60L3olxA6FqCtKpakMWUV1DD7WuL0y0AdJTAP0Qpfrkp8OnEFwvOQDeaZjSJ5m5jDBGkqWGtP1/YryTQMYKtQKj4rcblOLTmdU4pCIUkFnVU9Wg0SjDgLJABAwbSv/9gf5K/iGmiLWfQOq84W12UMz/rbOP8eXMghESeRWFqkmjj0bzSS8IT3R+JEdNNbWkNvOfHfZo38QyP6vjIzxZe3NpuSQkIDdMIYZohDD2IUsIdJ+FqhN4Wem6a+8XQcY0QLm8/8ztVC2QpEq4403NPH7zWpmi2sFhaOQRCOgJbl4QXZuNpYM1jvbqiHS+F09ESB+3ShBefMAxdw5uSQttxVnNKV8SX3aWUwpmR2qtSSAqMFEdJIRlIcbwUkoIU4aWQFKQIL4WkIEV4KSQFKcJLISlIEV4KSUGK8FJIClKEl0JSkCK8FJKCFOGlkBSkCC+FpCBFeCkkBSnCSyEpSBFeCklBivBSSApShJdCUpAivBSSghThpZAUpAgvhaQgRXgpJAUpwkshKUgRXgpJQYrwUkgKUoSXQlKQIrwUkoIU4aWQFKQIL4WkIEV4KSQFKcJLISlIEV4KSUGK8FJIClKEl0JSkCK8FJKCFOGlkBT8P01wfU0Qh/NwAAAAAElFTkSuQmCC)
physics-General
physics-
A current of 0.10 A flows through the 25
resistor represented in the diagram to the right. The current through the 80W resistor is:
![](data:image/png;base64,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)
A current of 0.10 A flows through the 25
resistor represented in the diagram to the right. The current through the 80W resistor is:
![](data:image/png;base64,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)
physics-General
physics-
In the circuit shown in figure, the potentials of B,C and D are :
![](data:image/png;base64,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)
In the circuit shown in figure, the potentials of B,C and D are :
![](data:image/png;base64,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)
physics-General
physics-
The energy stored in the capcitor is
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)
The energy stored in the capcitor is
![](data:image/png;base64,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)
physics-General
chemistry-
The vapour density of a gas is 11.2. The volume occupied by 11.2 g of this gas at N.T.P. is
The vapour density of a gas is 11.2. The volume occupied by 11.2 g of this gas at N.T.P. is
chemistry-General
chemistry-
The r.m.s velocity of hydrogen is
times the r.m.s. velocity of nitrogen. If T is the temperature of the gas,
The r.m.s velocity of hydrogen is
times the r.m.s. velocity of nitrogen. If T is the temperature of the gas,
chemistry-General
Maths-
The difference of
and its reciprocal is
So here the concept of reciprocals and reciprocating the numbers is used. It is basically comparable to flipping the number on its side. Here we were given the numberand the difference between this number and its reciprocal is 105/304.
The difference of
and its reciprocal is
Maths-General
So here the concept of reciprocals and reciprocating the numbers is used. It is basically comparable to flipping the number on its side. Here we were given the numberand the difference between this number and its reciprocal is 105/304.