Physics-
General
Easy
Question
In a practical wheat stone bridge circuit as shown, when one more resistance of 100 W is connected is parallel with unknown resistance ' x ', then ratio
1
become ' 2 '. l1 is balance length. AB is a uniform wire. Then value of ' x ' must be:
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478474/1/951617/Picture351.png)
- 50 W
- 100 W
- 200 W
- 400 W
The correct answer is: 100 W
wheat stone bridge is in balanced condition
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/900597/1/951617/Picture468.png)
Related Questions to study
physics-
In the figure shown the current flowing through 2 R is :
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478467/1/951616/Picture350.png)
In the figure shown the current flowing through 2 R is :
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478467/1/951616/Picture350.png)
physics-General
physics-
In the shown arrangement of the experiment of the meter bridge if AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled?
![](data:image/png;base64,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)
In the shown arrangement of the experiment of the meter bridge if AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled?
![](data:image/png;base64,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)
physics-General
physics-
In the circuit shown in the figure, the current through
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478386/1/951555/Picture290.png)
In the circuit shown in the figure, the current through
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478386/1/951555/Picture290.png)
physics-General
physics-
In which of the following case current shown by ammeter is maximum
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)
In which of the following case current shown by ammeter is maximum
![](data:image/png;base64,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)
physics-General
maths-
In
then find
in the figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAAC5CAYAAACvFjR+AAAgAElEQVR4nO296VNcZ5bn/7k3930HEsiFfZcElkBSSXZZZcvlX3dVTPVvOmomOiZm/pT+K2ZiXnS/mJjqql9ExS+qO+yptmVb+4YEQgjEnpCQCZmQJCS5r3deICiXbdlaQAlJft5C3jz33m+e53nOc855BEmSJKpUKRNiuQ2ocrKpCrBKWakKsEpZqQqwSlmpCrBKWakKsEpZqRgBSpJEKpVibW2NRCJRbnOqvCIVIUBJkpAkibm5OX73u9/x7NkzSqUS1RDn0aciBLhHJBJhZGSE6elpgsEg6XS63CZV+QkqQoCCICAIAtlsls3NTWZnZxkfHycWi5XbtCo/QUUIEHZF6HQ6ef/990mn09y8eZP19fXqMHzEqRgBAtTX13PlyhUARkZGWF1dJZ1OUyqVymxZlZdRUQI0mUy0t7fjdDpRKBQsLi4yNzdHLpcrt2lVXoK83AYcJGq1GpVKRXNzMz6fj6WlJQwGA263G5VKhSAI5TaxyneoKA8Iu3PB7u5uLl68yPLyMo8ePSKRSFTngkeUihMggNPppLOzE4PBQDweZ2ZmhlAoVG6zqvwAFSlAq9WK1+ulvr4eSZIYHx/H7/eX26wqP0BFzQG/jVarZXBwEEEQePDgASaTicHBQURRrM4FjxAV6QEBVCoV3d3deL1ewuEwy8vLhEIhUqlUuU2r8i0qVoAKhYL6+nq8Xi81NTXEYjEePXpEJBIpt2lVvkXFClAQBFQqFU6nk6GhIURR5JtvviEQCFQTFY4QFSvAPWpqavjwww/RaDR8/fXXrKyskM/nqwI8IlS8ALVaLR6PB5fLhc1mIxAIMDExQTKZLLdpVTgBAlSpVNjtdjweD62trYTDYUZHR9nZ2al6wSNAxQtwj5aWFq5evcrW1hZ3794lGo1WkxSOACdGgDU1NZw6dQq9Xk8sFmNxcZFQKFQVYZmp2ED0dzGZTKhUKlwuF+FwmKmpKYxGI7W1tYjiifkdHjlOjAAFQUAul3Pq1CkymQxTU1NoNBrOnTuHKIpVEZaJE/XUZTIZXV1ddHd3Ew6HmZ+fJxKJVGtHysiJEqAgCPsr4sbGRvL5PA8ePGB1dbXcpp1YTpwA1Wo1NTU1nD59Gq1Wy+3bt1laWqrujpSJEyXAPUwmE5cuXcLhcHD9+nXm5+eruyNl4kQKUK1W09jYuL87EolEePr0Kdvb2+U27cRxIgWoUCiw2+243W7a29vZ3t5meHiYzc3Nqhd8x5xIAe7R2NjIp59+SqFQ4ObNm4RCIYrFYlWE75ATLUC73c7AwAAGg4GNjY39pNVCoVBu004MJyYQ/UPodDrUajUej4eZmRl8Ph82mw2TyYRCoSi3eSeCEy3AvR2Qjo4OIpEIS0tL+7slWq0WmUxWbhMrnhMtwD3a29vJ5/M8fvyYeDxONBrFbDaj1WrLbVrFc6LngHuYTCZcLhdNTU2oVCpGR0fx+XzlNutEUBUgoNFocDgcdHd3Y7VaGRkZYX5+vroifgdUBfiCvcyYpqYmRkZGmJqaIpvNUiwWy21aRVMV4AsUCgUNDQ243W6MRiNbW1uMj48TjUbLbVpFUxXgC2QyGVardX93JJvNcufOnTL0lJH2e16fBKoC/A4Oh2O/jPObb75heXmZXC73blL3pQyUIkSjWyyvxEmm8lS6DKsC/A4Wi4WBgQEsFgvLy8usrKywvr5OPp8/5G+WKKSjpNcm8fsDPF9OEksVqwI8aahUKmpqavB6vbS2trK2tsbIyAg7OzuH+K0SUCS1Okfgmz8w/HicbxZzhJOVXzBVFeB3kMlkqFQqmpqauHDhAltbWzx69IhoNHpoK2KpkKK4NcPK1ChfX3vEs4UNNgoKcpJApffxqgrwJTQ3N/PRRx+xs7PD8PAwkUiEXC53KIsDKRsjt3qPmbF7/OGLBaZXM8j0ekSZvCrAk4per6e+vp6mpibMZjPPnz9nZmbmgBcjJcivE4/6eDK5zPRijHxOiVKhRKeTI5dX/uup/Dt8Q9RqNTabjdbWVmpra5mcnGRycvIAvaAEpQLZ7TWioUXmQ9usbRdB0qBSqdDpZMjlle7/qgL8UQRBoKWlBY/Hw/PnzxkfHyeRSBzMiljKUyokWJ3ys/w8iNxpQ+9xohB0aJUKdDoB+QlIFTkBt/h6pFIpNjc3CYVCrK2tEQwGWV5eJhgMYrFYmJycpL29nfr6+rf4FolCIkJmc4lAtEA4Z8Hh3MZu1FAUdMhVSvQ6EZms8j1gVYDfQpIkotEoo6Oj3Lhxgxs3bpDNZslkMmSzWcLhMN988w0qleotBCgBErkNP7HpWwRK59h2NNCvusOmWCSFDlGlQq8Xqx7wYJEoZBLkE1vEUhLJghyt2YJOp0GnFPixH3upWKBULFAs8ZfArCCCICKXy5CJe+EKCSQJCQEQeNVe5Llcjq2tLYaHh5mamiIQCCCKIp9++ul+dnQymWRtbY3h4WE6Ozvp7+9HoVC8ftJqPo6UDrIS3mZixYGuzUGjTYEplkXKFkiKWkS1Ep1WOBFzwHcgwBKlYp58KkkytklsM8xGrEAsJ0Nrq8Nss1FrNaBXy1F/94FLBSjlSESjxLd3SBYk8i8WoaLKgFxjxm5WY9CISNk0hUKJnCQgFQq7+6lyDXKlEp1Khii+PKa2vb3N3NwcX375JVNTU6jVai5dusQvf/lLXC4Xer2eaDTKn/70J65du8by8jLRaBSLxYJGo3mNZ1GkkNkiG5rAH8wxErJyqUeBy5SnGNhhJ5ElKeoQVUr0GgH5CUjIPmQBSiClSW+usHT/FnORPLPUU6dLYWSHZ3euk9XUU/Ozq5xuruG9ejXAvlCk3AakZhn+12+48cUwvrREtLDr3bRNF7H2/JL/fKWRcw0SO1PDBKJpZnMmxIgfKRFjq26IuuZ2ft7rwKpVfO9m9zb9h4eHuX79Ovl8nosXL3LhwgW8Xi9OpxOtVotcLsdiseDxeDh16hSxWIx79+5x/vx5GhsbX/FZFEHaIbYRYObOJL5QiUTOwuRYlNBkDGnxOSOLWZJKJzKlEp0MToADPGQBSiUK2342/ZMMj/kIlSyU2s1ozWps5AllA6yH1pmX6qDQg6umCaMIGhFAIr+zSWppnJVlP3PhbSIFSEkAIsVUFk0RivktUlsxph9PspJVsOExYspvId9eZDqgYi0KHpcRUanA/p273dnZIRQK8ezZM+bn53nvvfcYGhriwoULGAyGvzpPRK1W43K5uHjxIoFAgHv37tHU1ERdXR0ymewnzh6RKBVyZKNBttY3Wc2akZmUdNSb0MpAjEdJJJKkc1DQ6FEqlejEkzFBP8R7lJBKeTL+RwSfPeXacg21nX3814/ew6kT0WU2aBZWuX1/jv/+xdeoZdDyXhMdatCIu3ujyfUtgvfnKNq6cf/nq3ygFbAoBRBEdLUtmBrbaTdMkvI/5969TfKeDnp/e57OnBztYoHZ/zlNKJxj7FI3SoMOu/6vRbKyssJXX33FwsICGo2GCxcucP78ebRa7Q8KqqGhgatXr/JP//RPPHjwgA8//JDOzk40Gs1PCLBEMZtia3aGza0c2b6/pbPGTG+tAoESmdAUa4XHrO8kkW8YUCmV6AR+dF5cKRyiAEtIpQwb/kWW5hYIFz3YdTZqTVpMajkqZQFli5uaxSDmrUm2/c2M+LLYXHKc5hxSLkg4tMK9iThbzTrs3mZaGow0mlQoRQGV1oRKr8aYTRNPRtncTIJdQlLpUOsdmJK1mGSLbGd3SGSLpL+1jZvP59nZ2WF2dpa7d+/idru5dOkSra2t6PX6l4pJr9fvt/SYnZ1laWmJ6elpuru7f3QuWNheJr7uZzaqJC7W0txQQ6Ndj8UgAkUSOxqEUgFJArT6fQFWPeBbUaRUzBJeWWV5MUhKK0fQalELAgpAkCtQOhsx1ZpoKPrYCAd4MpPmPYMWSZ+ktDPD6qqPO9MJLIYc3g4Btc6MscaCRaNELReRCwWkXJFSLksxnyKfzRBPFcmZNYhaM0a9CkNud/Hx7c2LbDbL6uoqc3NzTExMcPHiRX7961//qPgAlEolSqWS1tZWlpeXWVxcRKvV4vV6UavV3/lsiVKxSKlQIL46Rcg3yWTsLCqHl/N2DTaDsPs/hSzZTIrt7QTxtERJqUBEQF4sgiAiCZWdkHB4ApSKIGXJ5nKkk1nSUopsNksBiRIgEwSQa5Er1ejVBcK5BJHwFpm0SCGdJDE/S3hujKXQM55/vcyDpzf5uqGT9r4Bzr7/M057bXQ7FKBrRO9Yo8s9gk9aZfTRKvWeVUzyGNmaFnQKF712DY2av7zGZDLJ8+fPSSaTDA4O0tzcjE6nQ/6KgbeOjg5SqRSff/45hUKB999/H71ej0qlenHvBZASxEOLhGYmeHTnPk+nV4k019KibyRWktCXsqhLSTb9M8w/uc+DiVWmFwRy2SmW5t08fu6kx2OjwaxBI1TultUhe3kBuUxEpER+O0Jie4tIVkIpB5MogCBDEEVkQpFiPkcykd5tiyHJKEk69OYaWvq8hCNRopvzLIbWiWxssVlQkbvYh0nvxaJwoHe00PdeE8K2lufrIeLqJFsWDebWeuymRlosamzKv1iVSqWYmpoimUwyMDCAy+X6i3hegYaGBrLZLF9++SUbGxv7nrChoeHFf0jserccuXScdEFBVrRiNetxmJXIRJCQkKTd+y4JcpTOblyiwM+kGhrMKkq5AqVSiUrPCDw8AQoKBFGH2WLCbpQjPl8kElxhcqeIUiHHpJZAylAsZEhnS+QKIMh2FxhyQw2mU/+Byy2/oOdXCbaWJ1mdfcq963cZ8w1z+/fb5NL/AZXbw6DNiLemi/7f/Bdqgxt4/CGKJRPBfD2nLzpx2M3U6JUoXzhASZJIJpPMzs6i1+vp7e2lpqbmtW5Nq9VSU1NDV1cXi4uLPHr0CKVS+RcBCnLAiKGuhxaTl9rTGa5miwhaM2qdDpNWgUKUIwpybJ4BdDWdtAz+Lek8ZCUVOoMenV6LVq1AUcHeDw7VA4oIMjWO1h5a1sJ0rYTYXh7mi3+1EXWbCFlLCOlnTD9dZGEH0o1aLFYjKpUCQaZEbqjBbLBjriuSthmpr7Fj0Kkw3x8nf2uO2NIMt8fCuPrNNLmN6J0tNKitqDUbJAUDBbWZ2joTJr0KlcCLeaBEPB4nEomws7Ozf66w2Wx+rTuTyWQYDAb6+/spFAqMjY3hcDgYGhpCoVDsDuWCHLlKj1ylR/uDl9/9sSk0ChQaIwbrQTzz48ehClCUqXB0n6WzkObCs//NzbmH/J//FWOto45Fjxp5bJqVeT/PYwIOjZH2OgsajfKvrgEiGmsTGrMTZ0s9tbVGSov/g0dbS9x74OfDBjlFjxa5zIDebkBvd7/UIkmS2NzcZH19nWKxiF6v3w82vy5qtZr+/n4ikQh/+MMfcLvdxGIxTCbTK88lqxz2HFAQETQubK0f8NF/s9Ec3OH9qIjR4cCoA8V8CPlmhNvGDmzOBs60KbGaXjLgCApQ1mOvbeXiuSbW13VMxGK7FWvszrp+arVYKpWIRCJEo1Fqa2upq6t74+MZZDIZer2euro62tra2NnZ4fPPP+fSpUt0dHS80TVPIoe+CEFlQ+8001fTRNPWNmfCm2QUKjLpGLFlGVqFBnVjD/UeD6ca5VhfthYQZCC3YLA46Wx34sSAEC4ivEZyqCRJ7OzsEI/HsVqtWCyWNz49fe84WI1Gg0ajIRgM8tVXX+HxeGhpaXmF3ZEq8K5inYIIMi0as5JarYVidpmtoJ/HMyHm11XUnr9EZ08HPWrQ/qhDEnaLhtQaTGYzNUINWo0aGT/t/fbI5XIUCgWUSiUqleqNRSJJEvl8ns3NTZ49e8bq6ip6vZ6PPvqIZDL5WmGdk8w7WmDthlxkchG1ViK1tkDw6RPmUjYyzn4uXeziTJsDkwyUwm5wNrW9RWInTjwvkSsBlKCUJJXOEtjUoNBaOd3nxGHVvtZNFItFisUiMpnsrfr/5XI5/H4/gUAApXJ33hqNRpmYmODJkyfE4/E3vvZJ4h3/RDNQjLAyOszjf7/DvOZvsZ65zK9/5qHVoXshpCL5XIqd8BpZuRapVodFJaAUilDcIhaP83RRDR02Ll9w4rSIryVASZIolUpvfTxXJpNhfHycpaUlvF4v+Xwev9/PyMgIer0et9uNxWJ54+ufFA49HauUS5FLxYhthgivrRJcWSEQMRHv/n+50n6OpvYW3EbVi6FXgtI2ifVpxv/8Oc/XcswqPbhqjTTY1MhKBUolOdnu92lob6HVImJXvd4QKpfLkcvlpNPpN+4Fnc/n2draYmRkhLW1Nd5//326urqYnp4mEAgwOTnJ+vo6TqfzB7boqnybQ07Hkihmk2R2NoiGVwgsrjA3GyRbdwZ9x2kunWmg1WlAvR9slUDKkk9vEl1+ztzkJneTfjyeGjwuOxqZFrurFdfZ92h0W2nTvf6LValUKJVKMpkMmUzmjSrcYrEYwWCQxcVFBEHg3LlzFAoF3G43v/vd7/D5fMzPz+N0OnG5XFUB/giHm45FiUImTS5boqBvwnmqBc+ADLnWhEpnxGpU7weJdxFAtGNuOMvl/6LBFYhyNlxAZbGjt9qpseixWMzozRaM6tc3XRAEjEYjer2era0totHoGwlwdnaWBw8eYDAYcLlc1NfXo9PpcDgc3Lp1i5WVFa5du4ZcLsfpdO7PEat8n0P1gAICokKNUmfBqNWi0OgwG7UoZcJLsn0FENSo9HXUd+swuJLUbyYpqQzINAasJg06tRyRV1/1fhtRFLHZbNhsNra2ttjc3CSfz6NUKl9pPlgsFsnlcszMzDA2NkZLSwunT5/GbDZjMBjQaDT09PSwvLzMzMwMbrebq1evYjAYql33X8IhCnB35as0OlAYJAwIIAg/WpuxjyhHUJowWI3ozNJuSpIgIr5lapIgCNTV1VFbW8v29jbr6+uk0+n9YfmnyOVyxGIxpqenmZyc5JNPPuHcuXP7CawKhYLBwUFisRh//OMf8fl8bG5uolQqqwJ8CYcehhFEEVEmQyYTv1W99kofRBBlyORy5LIXlW9vOZUSBAGlUrl/UrpMJmNxcfGVz4hbXV3lxo0b5HI5enp6cLlcmM3mfe8pk8lobW3lzJkzWK1WgsEgf/rTn5iZmXk7wyuYSk60+EH2ttDcbjdKpZLnz5+zsbHxo5+RJIlisUggEODrr79GFEWGhoZoaGhAo9HsC1AURRobG+nq6sLj8bCzs8O//du/MT09XW14/hJOnABhN52qq6sLpVLJzZs3WVpa+lFxFAoFotEoS0tLPH36FLPZzOXLl7Hb7d/7X0EQsNlsXL16la6uLnw+HysrK2xubpLL5Q7zto4lJ1KAOp2Onp4eHA4Hfr+fpaUlgsEg6XT6B/8/mUwyMzOzv+tRX1+/Xz/yQxiNRgYHB/d7Tc/PzzM6OsrW1tZh3tax5ERuVur1ek6dOsXq6iqCIODz+Xj06BGDg4Pfymr+C9vb29y+fZtwOMzly5dpa2v70Uo4rVZLe3s7bW1t2O12JicnEQQBu91OXV3dYd/eseJEekCZTIZGo6GlpYVPPvmEXC7HV199xczMDFtbW/udUCVJIhaLEQgEmJqaolgscvnyZTweD6IovlSAoiiiUqloaWnhb/7mb9BqtUxOThIIBNjZ2amePfItTqQAYXeu5vV6+c1vfoNKpeLBgwdMTEywsrJCKpWiUNityVhfX2dxcZHV1VVUKhVDQ0Ov3JjI6/Xyd3/3d9TV1REIBPD7/YTD4epxsN9C9o//+I//WG4jyoVMJkOtVlMsFpHL5czPzzM/P48kSSiVSgwGA9evX2d0dBSr1crAwACnT59GqVS+0vaaXC7HYDAwPT3N3Nwc2WwWSZJoa2urHoT4ghMvwL0gtEaj2T+wOpVKkclkSKfTXLt2Db/fz9DQEP39/TQ0NLxyGpdcLken0xEMBllfXycQCFAqlRgYGECv11fzBTmhi5Dv0tDQgMFgoLa2lkePHvHnP/+Z4eFhVCoVa2trOJ1Ourq6aGtre6MUrrNnz5LP5/nnf/7n/bNHTCYTtbW1h3A3x4uqANnNkLFarSgUCkRRpFAoMDw8zNjYGGazGa/XS01NDTqd7o0yW+rr6+nt7aWuro5gMLgfzK4KsCrAfWQyGWazmYGBAfr6+lCr1Tx9+pTW1lZOnz6N0Wh84wRWs9mM2+3G4/Hg9/v57LPPsNls/PznPwc40elaJ3YV/DISiQSzs7NsbGygVqsZGBjg8uXLr107/F326kUuXbpEKpVieXkZn8934lP3qwL8DltbW4yNjbG9vY3X66Wnp4fOzk50Ot1bXVej0TAwMEB/fz9yuZxAIMCjR49+ch+60qkK8FuUSiVCoRBffvkluVyOX/3qV3g8ngMZIveOg21sbKS5uZlQKMS//Mu/sLCwcACWH1+qAnxBPp9ndXWVpaUlNjY2MJlMnDt3DofDcSDX30sFa2xs5Be/+AV2u51nz57h8/lYX18/sYkKVQG+IJvNMjs7y8LCAnK5nPr6ejo7O9967vddXC4Xf//3f093dzfr6+ssLCzg8/lemghR6VQFyO7QG4/HefjwIX6/n4sXL9LT03Mo3Q2USiVWqxWXy4XX62Vqaoovv/ySaDR6oN9zXKgKkN10q1AoxPT0NDs7O5w7d462trZD+S65XI5er6epqYmBgQHC4TB3795lbW3tjav0jjNVAQI+n4/R0VFEUcTtdtPc3IzVerj90np7e/mHf/gHnE4n4XCYyclJ/H7/AZ/GefQ50YHoUqlEsVhkdnaWkZERHA4HfX192O121Gr1oX53TU0Ncrkct9vN8vIyjx8/xmKx0NTU9FYtQ44bJ9oDFotFMpkMk5OTPHr0iJaWFs6fP/+apx+9GUqlErPZvO9tb9++zcOHD09cqtaJFmA4HObevXskEglcLhcej2ffMx02e2Wc58+f58qVK4iiyNLSEqOjo4RCoUP//qPCiRyC947oWl1d5ebNmxQKBfr6+nC5XJhMpndmh0wm48yZM+Tzeb744gvC4TB37txBpVKdmNT9E+kBS6USqVSKpaUlbt68iV6v5xe/+MVrNyt/W/aaXNpsNnp6ehAEgc8++4y5ubkTsxo+kQJMp9P75ZK5XI66ujq6u7sxGo3v3BaZTIbNZuPChQs0NDQwNTXFzMzMfmlApXMiBRiLxbh//z5ra2v09/fT0tKCxWIpWxMhm83GJ598wuDgIMVikenpae7du8fm5mZZ7HmXnCgBSpJEKpUiFArx5MkTUqkUH3zwAc3NzWXt6axQKLDZbHg8Hnp7e4lEIly/fp1QKFTxQ/GJE2AsFmNlZYWZmRkkSeLy5cu43S8/2uFdsLcibmho4OLFi6TTaW7dukUwGCSTyVR0cPpECbBYLDI2NsbTp09paWmhr68Ps9l8ZPr37ZWJtrW1kUgkePToEY8fP67oRIUTI8B8Pk88HmdycpKFhQU6Ozvp6elBq9UemZ0Hm81Gf38/ra2tGAwGJicnGRkZIZlMVuxQfGIEmEgkCAaDzM/PE4lE6O3t3c94OSqIoohSqaStrY1Tp07h9/sZHR0lHo9XbDeFExOIXllZ4e7duwiCQFtbG42NjZhMpiNVECQIAoIg0NPTQyKR2K9Pnp6eRqFQlH2uehicCAFKksT8/DzXrl2jvb2dM2fO4HA4jmzX0u7ubmw2234j9NHRUXQ6XUUKsOKH4L0KNL/fz9raGo2NjfT392MwGMpt2ksRRRG9Xs/PfvYz2traGBkZ4fnz56TT6YobiitegLFYjMnJSUKhEGq1GpfLRXNz8zvJeHlTBEFAq9XS29tLS0sLm5ubLC8vEwgESCaT5TbvQKloAUqSRCgU4osvviCdTvPpp5/i9XqRy+VHau73Q+xV0Xk8Hrq7u8lms3zzzTesrq6W27QDpWIFWCgU9j3HwsICGo2GS5cuUVdXd+TFB3+ponM6nVy8eBGFQsGtW7dYXl4mm81WTHC6YgWYz+dZXl7e74JvtVo5e/bsgZVZvitqamq4cuUKBoOBO3fusLS0RDKZrJi5YEUKUJIkkskkDx8+xOfzcf78eXp6eo7F0Ptd9qrompubOXXqFGtrazx48ICdnZ1ym3YgVKQAM5kMkUiEZ8+eEYlEGBoaoqOj40fb6h5V9noMtrS0MDQ0RCQS4eHDh2xublaEF6xIAQaDQSYmJojH41gsFrq6ul65re5RpampiStXrpDL5RgfH2d1dZV4PH7st+gqSoB7ZwHPzc3x+PFjTCYTHR0d1NXVvXVzoXJjsVhobW3dX0TNzMywuLh47BcjFSnAiYkJ7t27R3NzMxcvXjz24oPdnEGTyURfXx+tra08ffqUsbGxY19FV1EC3NzcZHR0lGg0itFopKmpCbfbfWS33F4HQRCQy+V0d3fT29vL+vo68/PzrK2tHevgdMUIcC/ofPfuXZLJJB6P552WWb4LZDIZLS0tdHZ2UiwWWV1dZX5+/lifwFQRApQkiXw+j9/v54svvkCj0XD16tWK7MGsUChwOBxcvHgRk8nEv//7vzM/P19us96YihBgJpMhEAiwvLxMJBLB4XBw5syZA2+tdhQQRRGLxcLg4CA1NTWMjY3h8/nY3t4mn8+X27zXpiIEGI/HGRkZIRgM4vF4aGpqor6+/kgnHLwNer2eM2fO0NjYyPr6On6/H7/ffyzngsdegPl8no2NDR4+fMj29vZ+ldvekQuVyN6Zxx6Ph6GhIeLxOLdu3TqW/aaP9Rva23ILhUI8ffqUTCbDlStXaGpqKrdph4ogCMhkMtxuN5988gn5fJ4bN26wtrZGoVA4VsHpYy3AYrHIxMQE4+Pj1NXV7QedT8o5bHa7nbNnz2Kz2djZ2cHn8+H3+4/VXPDYCrBYLJJOp5mcnGR6epqmpia6u7sxmUxHpszysNHr9bjdbtxuNxaLhVKMfiAAAA5jSURBVMXFRZ4/f04mkym3aa/MsQ2QZbNZotEoExMTLC0tcfXqVU6fPn2kqtwOm70ipt7e3v2FWD6f5+zZsxgMhmOReHFsPWAwGNxv6NjY2IjH48Fmsx2Lh37QuN1uTp06hVwuJxwOMz8/f2wWJMfSA0qShM/n4+uvv0an09HX13ei5n7fpba2FkmSsNvtBINBxsfH0Wq177zd3Jtw7DxgNptlc3MTn8/HxMQE9fX1DA0NvdPGkkeNvSKmCxcu0NzczP3795mYmDgWK+JjJ8BEIsH8/Dyrq6vkcjkaGxvp7Ow8sd5vD41Gw6lTp2hqamJlZYXFxUU2NjaOfF+ZYyfA9fV1vvrqKxKJBB9++CFerxe1Wl2xQedXZe90p6amJpxOJ7FYjHv37rG+vl5u036UY/PWSqUSOzs7rKysMD4+jkwm44MPPqChoaGsvf2OCqIootFoaGhoYHBwEEEQuH79OisrK0d6KD42AiwUCmxsbOD3+5mfn0er1fL++++fmGber0ptbS0ff/wxWq2WL774gqWlJfL5fFWAb0sqlWJ4eJiFhQXee+89urq6UKvVJyru9yrseUGv14vb7SYYDDIyMnJkq+iOhQBzudz+QdKhUIhz587R1dVV0QkHb8q3yzh7e3sJh8M8evSI7e3tI1k/cizeXiQS2V/5iqJIf38/Xq+33GYdaVpaWvjkk0/2TwENh8Nks9kjNxQfYCBaAilPPpshFU+TK5Yo7N+rAIKAKFcik6vRaBSoVXLE3b/8JAsLC4yOjqJUKvF6vTQ2NpblSIXjhN1up7u7mxs3brCxscH8/DwWi4WWlpYjNW05QAGWoJQgvRMhuBAils6R3PP4goggylFoTKgMDpx1JmpUchTATz0KSZKYmJjg9u3bDA0Ncf78efR6fXXo/Qm0Wi21tbV0dnYSj8cZHx9HrVbj9XorVYACiBqUaiU2a5rggzEe3Z1ky96LotZLn1uDYTtIbirEWMZEWllH99kztDQ5cekElD/wTLa3t1lbW2N1dZV8Pk9zczPt7e2HfpJlJbDXeb+vr2+/675er+fSpUuYzWZUKtUbXlkCSuQzKXLJBIlUlnQeUBnQ6rWYjSpKmSxSPo+g0SDKFSiEl490ByhAEQQNKrUSuz1HOvycp//nXwn26TCeaaTDBUIuRMp/i4fjMLVVx88w8b7WgsOtQin7vkeLRCKMjIwQjUYxm837ZZYnPeb3qshkMjo6Okgmk3z22WcsLS0RCASQyWSvKUAJSSpRymXI5XNkczkyiTjpnW22YkkSOQlJY0Nv1JFJq8gnchTzYKqvQW9UIOedCHDP1hKClKVQFMkULNQ0ddF07jzdfSoalXXkuswkkl+SvD7C5OhpFAY7gzVejN96IHuHCfr9fj7//HPq6+u5evXqsWmtdlQQBAGNRkNdXR3vvfcesViMa9euceXKFex2+2tcqUAxu8PWwhiLvmWeLibIq0yorQ6sehk6eYFiaIWVJwG+WFhkXdmNUHOK//j/6Dht+vGmAAc+kZLyGYpb6ySSElGhHmuji7YuN/X19TgbXXg6W3GaRQyZVdbXNgiG4uQLfx0eyOVyhMNh/H4/i4uLWK1WBgcHsdlsB21uxaNQKLDb7QwODmK1Wnnw4AE+n49UKvUKzY2KIGWIh+YJPLvHw+FnPJoMshYvkBVUKLVGjBYbVpsVq1mLtrRDaW2cQGCNyVCRRFb6SYEduAcsJRJkfPNsRvOsqFo5V2uhqV6GRiWAVIRSlkKhSDYvgCBDlMm+556TySQTExOsrKyg0WhwuVy0tbVVRIeDcmA0GhkaGmJtbY3f//73LCwssLGxgcPh+PEkDikH0g5rY9cYu/41f1pyIzWe4Ve/vUKPy4rXoEAuE5EJElKphxarmtOqJRRbXsaVjRjUGlT8eKTjYMMwFEkndlidXyKSVpF3dVNjM+PRlFCTIb62xMb0bWYDaVbVbXg7multr0Wl+osZpVKJaDTK/fv3iUQiXL58mZaWlurC4y2Qy+WYzWY8Hg+nTp0iFotx9+5dLl269JLO+xIgkYkskVi8w4P7E9yaKCF2ddJyrp9Ody0umwaT4q+lpbDVofa20WJxkRFsGLWqnwy1HeAQLAE5koltFueXiaRLiC4PZo0CSy5GLrZGcG6K8a/vMBsW2ap5j94zHZztrUOr3vVskiSRzWZZX19neHiYeDzOxx9/THNz88GZeQIRRRGVSoXb7ebKlStkMhlu3LhBKBR6ye6IBFKGRHCa5ev/H3cfL3MjVI9zYJBLH56h3a7Fqvi+rGRaM6q6TjweF70eM2at4ifjvAfnAaUClMIkdtaY8yXZSkTRWBeZvh/k/5/Osr60wmZSJCoM4rrczcXOLvp6PDSZBVQvfgalUomZmRkmJyfRarV4vV6am5srssNBOairq+Py5cusrKwwNTXF0tISLpcLh8Px1/1zCgmk1CzL8+N8fm2BoOLn2M9d4ZSnli6jgOplYURdDbLGCzQXzdQKcqy6n14wHqAA80jJVeLREPNrcnImA03NZjSKHVKbYTYWJ1lKGPErrTjfa6TpVC9NDgU1GgGBXfFls1kmJyd5/vw59fX1tLe343A4TkyV22FjMpnQ6XQ4nU7kcjmLi4s4nU6MRuNfCbCUS5IPTxJYmOXORILMRSfu/n68Tgt1auGlmweC0gBKAzbgVZeLByZAqZCnGFlmJxTBF69F33+e87/9j1wyF/Fk/Wz2aPj6+iT/6/MveO6pR+XppkZlwqHdXYQUi0VSqRRPnz5lenqa3/72t/T39x+pqP1xRxRFFAoFPT09RKNRfD4fgiDQ2dn5rR6KEsVUgvjMJKu+NabSdjrqGunqa8BiVCHj1bZPX9mmg7mMRCmfIxFcIRLeIqxpRF3n4VRzHZ7GBuo9zbT299PWUotXCLKzvMCTMR+h7SQZCUpAKBRidHSURCKxn83hdDqrW24HiCAIiKJIc3MzAwMDZLNZFhcXWV5eZnt7+8V/lchlU2wEAmxsJNgRatHbLHgaNei0349YvC0H9HZLFPMZtpYDrK9vE7V40NhraTMImBQCMo0BfVMvTq+LbmuK/Lqf6bFpQltxkhKUJPD7/dy8eRNRFOns7MTlcmE2m6uB50PA7XZz+vRpVCoV6+vrzM7OEg6HX/y1RD6XYT20weZ2lryyFqPFgNMholYd/Ls4GAFKafLZTZZX1glv5TG4vNhrHNhFUAmAVIJShkI+SzojIYlKlBodKrkMoVggmUwwNzfH/fv3qaur29+vrHI47J1Fd/78ebxeL7dv32ZycvJFqtZum+N8Pr+bzaTSoJTLUYsgOwRfcDACLMTIpdZYDm4T3pFhcbtx1NgxCqCkRCmfIhVZYzu6TTijQmawUNtgx6hRUUynCKysEAgEiEQi1NfX09fXh16vPxDTqnyfvTLOM2fO4PV6mZubY25uju3tbbLZ3It2wLIXtTYvPlRiN9J2wByIAKV0iFx0Dv9agUjGQoPXiaPGiIiEIGXJbIcJPrjH9FMfY8k69E3tnL/YhdNuJLaxwa0bN4jFYpw7d46mpiZMJlPFtNU9qqhUKlpbW2ltbUWhUBAOh3n69CnR6DYKhRq73YZZr0ZMx0ins8SykD+EhOq3eMsSxWySXHKLzflnzI6OMh2MEywYcUXnCS1s8zheIpuMEltfZmVinZViPa4P3mPo/BkudFgwyYusvGixYbFY+PnPf05jY2N1y+0dsDcMNzQ0cObMGZLJJN988w16vY4+rxl7azsNsykaxSCJ0BrTs1u0teqosyq/F4Yp5bPkE5uki3IScgsmjQyD6tV821sJMJ+MEg9O8Pz+A+5df8hEsMC6UoFi4mueBOWsiym21gJsbqfZEBpw9l7g6n/6Je932DlVL2c7ultm+eTJE65evcrHH398ojscvGsEQcDpdHL16lX+/Oc/8/nnn3P69GnOdLuw9w3gnQ/TrXrAln+R4eEgQ1YXrVbld7bXJErZBKngDKGcFr9aQ3ut5l0IUECutaB3dtHxvgpj8wXafi2RFnWY6x0YVCI6IU82kSCTLZAWDejtTmrdDhosKnKZNCMjj1lYWKC7u5uOjg5MJlPV+71j9Ho9bW1tPHv2DI1Gw8rKCpMzSzTXt9A68AH/6b8leRjaxPf491wr9OBvc9FSZ0KvKKEo5UhniuQLIIkGNGYbrTUqrLpXn9m9nQDVBuRqAx57E55+OP+KnywUCoRCMZ6MjhIIBOjv76ezs7NiezofZTQaDfX19ftlnKurqzx5Oo2j9mMaOgax6ST46gn5kVlCCzLS2QyllAOLGlTkyGRKFOV6NHUd6PV23FYFCvHVl8tlmenv7OwQCASYnZ2lWCwyODhIW1tbOUypwu5Q3NrayqeffsqtW7e4c+cOAwMD2Fs9aJs+5Ge/OUPHBzHi6RyZvISEDJlah1JrwGzQYNBrUKj0aNVK5ILwWsHqsghwaWmJhw8fsrCwgEqlYm1tDUEQWFhYKIc5VYCtra394y7i8Tjz8/PY7Xbq6upxmpzUenNkYtskEil2UgUkpQ6ZxojVpEGvVbzxFl1ZBDg+Ps7nn3+Oz+dDLpfzxz/+sRr3KzOSJJHL5Zibm0OSJMbGxnA4HNTU1CCKckSZGo25BrVJwioBgoAgiAjC28XyyiLAlpYWPvroI1pbWykUCtTW1lYXH0eAUqmExWJBqVTS29uL3W7/1laogCDu7gUf5O58WQTY2dmJxWJhY2ODVCoFUN3zPQLsdU3QarU0NjZit9sPPRlEkMrQqyGbzZLJZMhmsxVx6nelIZPJ0Gq1KJXKQ8/FLIsAq1TZo5psV6WsVAVYpaxUBVilrFQFWKWsVAVYpaxUBVilrFQFWKWsVAVYpaxUBVilrFQFWKWsVAVYpaxUBVilrFQFWKWsVAVYpaxUBVilrFQFWKWs/F/Ga0qCG3lgQQAAAABJRU5ErkJggg==)
In
then find
in the figure.
![](data:image/png;base64,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)
maths-General
maths-
Find ‘b’ in the given figure .
![](data:image/png;base64,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)
Find ‘b’ in the given figure .
![](data:image/png;base64,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)
maths-General
maths-
Find x in the given figure .
![](data:image/png;base64,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)
Find x in the given figure .
![](data:image/png;base64,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)
maths-General
physics-
A wire has resistance of 24 W is bent in the following shape. The effective resistance between A and B is
![](data:image/png;base64,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)
A wire has resistance of 24 W is bent in the following shape. The effective resistance between A and B is
![](data:image/png;base64,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)
physics-General
physics-
The net emf and internal resistance of three batteries as shown in figure is :
![](data:image/png;base64,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)
The net emf and internal resistance of three batteries as shown in figure is :
![](data:image/png;base64,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)
physics-General
maths-
if
then find y in the given figure.
![](data:image/png;base64,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)
if
then find y in the given figure.
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, if
find x y
![](data:image/png;base64,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)
In the given figure, if
find x y
![](data:image/png;base64,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)
maths-General
maths-
Find the value of a+b in the given figure
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478061/1/951206/Picture57.png)
Find the value of a+b in the given figure
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478061/1/951206/Picture57.png)
maths-General
physics-
In the figure, the potentiometer wire AB of length L and resistance 9r is joined to the cell D of emf e and internal resistance r. The cell C's emf is
and is internal resistance is 2r. The galvanometer G will show no deflection when the length AJ is
![](data:image/png;base64,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)
In the figure, the potentiometer wire AB of length L and resistance 9r is joined to the cell D of emf e and internal resistance r. The cell C's emf is
and is internal resistance is 2r. The galvanometer G will show no deflection when the length AJ is
![](data:image/png;base64,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)
physics-General
physics-
By error, a student places moving–coil voltmeter V (nearly ideal) in series with the resistance in a circuit in order to read the current, as shown. The voltmeter reading will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAABRCAYAAADGiRgzAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAkOSURBVHhe7ZwLUFTXGcf/+wAlDohSWh8gg4kKDUGSTmqbR2tGp5OoMXWsD2ao07RMHV+t2lFrx2c0Rp0JZio+xkQSJ6ZVE6Pl5QM1EeuLVZoAIg9F5CHC7gJ7l132de/pvZe7uOKuYcVdDuz9zZw5537ncd37P+c791zPQUF4IEMFSimWoQBZDIqQxaAIWQyKkMWgCFkMipDFoAhZDIqQxaCIXhVDkV4lBpkO5JFBEVSJEegjRR4ZFNHtr7YJ8fH4YNs2qJRKqNRqKPlYzccqlQpKPqj5IKSdodMmlBHquKalOPKwUWybLB4txs5R4bwONLwSQ+DnEyaA4ziwDgdYKXawLDg+sHxwpj3ZhPJCfQcf31iUI7bZVYznd019IGwXAd3ahNhZng9CJxA6gyeb0ImEzuRaX8x3Z3PWkdLu2vHU9pKFC1Fy86b4m7qD12J40/gP0XUkOK+1c8NEEV0FFIV3Z3MRV8h32sS0FDrruAaX+s62H7E523HT5mODVL+4qEj8Pd19ZlSK0V/clLfPTJ7AKYIqMYQR0V9GxZMgjwyK6FUxAn0kdEUeGRQhi0ERlIjBwmxql9I8NgZNTQbYpcueYmea0GSwSVf04hsxrE249uFsTFn2GU7n5eH0ke3Yl2eWMrvAGVB5ZBVSt2sgPi6mABkb3sPWVfOQvPY0tJwRt75cit9MXoUTDR0P1FiajkULP0O5Sbx8LEzBfmx8bwtWz5uL9aebwEn2R+GgL8jA5k27cDgrB1lf7MQHHx7r1j2eGsKirzs8Hxcnhu5iPr6EzEorInbhwsGQVsZKLG0MMRgMnYExWQnLZ9vLd5NFG84Tq1D03l1SKySsRWRH8gpyyiwUuEnS5ySTPeVia8R0IYN8/p1QqAObvpHoWhtJbUMLYVzaNzAMqblTK7ZrK0ojKStOEqE5d7DaLLJ8yl9Jlk74Fwk4yO19KeTtTZeISbJ4i7fPzIduisDSdAv/u34FOQfPoS6Iwc1vc5Gbk9MZTl68DbHjKRRiDQHV8FGIChZSdqjHJSFeSKvHYsb0Qcj7shBWrhn/rXgGv0wQC4FjyrB/WSre//w4MrOO44RL+7knrsAUEYWO5tQYm/TTjrQbHGUalAxJQGK485GoED0+Dux311DjkEw+xodiKBA8eDhiY2MxalgYgpQc7BYzzGaXYLWDc+s3WNzLL0b0nJmIVgnXSoyYMhPPXT2Cs5XnUT/0dcSKdj4nLBbPjoxC4jvvYtb40IfbN1lhF27A1iO/OAqzZkbzj9g9qlGjEWXSQ8dKBh5bcwsQHYthasnga6QR8oP0yE3xQ76xukZMucNesafTTfEOgxhKTpGcQh2fMhFTp4+wEM2W6eS389LISb3TlQhYSN7qBeTTGod03QXWQEpOZZNCwf2Y2jy6HGubjpQe3U62HiggjXxRa1Ue2bkxjZwqbyaM6+28gA43xU/gJZX30XL7Cs7xE/ipIx/h04sub0sPYUbTnXr+7akGdUYOxsK9WL7mYxxNX4nUlLU41uDsqgOQ9LspiHn2Jbw+FNBeOogD39SBNdWhprEeVeU6N29fRhTuXYp1H3+F3Sv/iHlrj6GzuYdgoT2+BRv/U4aKnExcMTlQdz4bV6pL8K9/7MAFq1TMx/TqV1vvsaK9PQghIUqwTAWO5tTireRJCJVyaaOff7UdIAohYGmxIGnyRGqFeBL6mBgPGBSTiLGRnqbjvkmfFaM/IotBEbIYFCGLQRGyGBQhi0ERshgUIYtBEbIYFCGLQRGyGBQhi0ERvSNGux56k+etAYGK/8XgWpC/dT62O//HhtNDk7EJm3cdQnZOJv69832kHSuHh70k/Ro/i8HBcO0MqhRDpBtz0OVuxqaiJCxYMBfTpk5H8sJkDP76b9hxOfDk8K8YTCHO3Y/HxNFBksGBMk0xwhPG48GmjCgkxrH4/tpdPjew8KMYDDSZNxD+whAY22ywMK0wcyqMGh0Nk17rsrnMjo5NGcPgr00ZtOA/Mdg2WGHEjeyvcbKoAbWai7jVziJi2gqkKPNwSCPs9rOh+kwGNCOXYf6raheBAgP/iaEagddSFmPxkkVIeSUGYyZNReJALTK3bEBWWTlyMy/D5KhDfvYlVJccxJod+bx4gUUf2x3iGypabPi23oJbBjvGhAfhjZEheI6Pe4p8ps8LvtdZ8VZmA8Z9UYfVl5txprYdKy82Y8zBWkzLuo8bev/uXA9YMQ5XtmHCkXoMHajC9dkjoU2NQeHcKOj4uGDWCAwKUuBlPj+zyn/b0HvsppzHhWmgu0fSBLf0i6/u4cDkSLwdO0iyPkpGKYOlF/QoTo5CTJj3bitg3ZQ3ZwM3X2vFupeHdAhhasTt8jKUld+Btp1f+bTUoqK8Eg1GDu/Gh+LFyAHYcr1VquljhJHRHTxt4sXO22LoTby5v9bsIKF7q0ibTdrNbG0kZ9e8SV79SyZpFUxt+SRt/SFyVzr+8U2tmYTsriItFg8bqx8DHRufKaaYn5RjQtX8nCD99OAf49epszG29CI0bUB7cQUGvzkdo6SDHBOjQhAZokJp89M61OYZr+eMrnT9Yyy9gTBvCX/8pTvoXpgG9eRU1P15nGTh4fTIWjoHOa/swgxDAWL+9HvEuSz/I/dWQJ23BxGlJyWLdzz1OaO/rC9C9NUIUnTpf8oITJrzGmoPrIdmyESMcRHCzhLYOAVCdE/2ouLVcxOdVQ/oa3OGxcGRn3xSTeqMHcd4OrGXkvQ/LCOZnWf6OvjkhoEM319NbHw9X9NtN+UJWl5tvXGT6682456Jxb43fgSFy3lCM8MgOCys8wMlLxzi+QXh/IQw/P1n4ZLVd/SbCdybTrE8KRxn+dX2uqstgmeQrMAzLkII9hX8anygSoEliWGS1bf0eGT0VUqbbZiR24iXIoOx4sVwJPGxkh8lLEdQqLViW6EBZfzi8NiUYeL3Kn8QsGIIGG0cFp3X4VBlm+giBJfFzwxiXsq4UPzzVxEPXoH9QECL4cTKvzEV62zIqjbhHX5VnhARjGDePfkbWQyK6DcTeH9AFoMiZDEoQhaDImQxKEIWgyJkMShCFoMiZDEoQhaDImQxKEIWgxqA/wMl3n/DAPWy4QAAAABJRU5ErkJggg==)
By error, a student places moving–coil voltmeter V (nearly ideal) in series with the resistance in a circuit in order to read the current, as shown. The voltmeter reading will be
![](data:image/png;base64,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)
physics-General
physics-
In the figure shown the power generated in y is maximum when
then R is
![](data:image/png;base64,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)
In the figure shown the power generated in y is maximum when
then R is
![](data:image/png;base64,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)
physics-General