Physics-
General
Easy
Question
A voltmeter of resistance
and an ammeter of resistance
are conected in series across a battery of negligible internal resistance. When a resistance R is connected in parallel to voltmeter, reading of ammeter increases three times while that of voltmeter reduces to one third. Find
and
in terms of R.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT8AAACqCAYAAADbekjvAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABycSURBVHhe7d0JeE134sbxdqardkqrWkUtnVpqGEstw1hKizCVUlr81b7EMmrfKWoJYqkixF5LiJBESCIimy2WiNAQVCKyJ5LIIrnZ339+x8kVcs2MnNzlXO/nec4j+d2T5N4r95uz35dAj2Ul4Pp5D+zfuxt79uyH4+HDcHJyKpoOwX7XHrhfCENGoTwvEaka4/eEAmTdD8Bci7/ivdo9sOqQGzxPnMAJLzfsmD8YVj/bIyRVnpWIVI3xKyUDe0Z9jhpNR+FUmjwk5N1G4JVQRCfLnxORqjF+paRjz+iWqPn5GJzNkIeQieTkJDwQMeRqL5FZYPxKScdeq1ao8VkvbPG9iOBrV3HuyBos+eU3nL0nz0JEqsf4lZKOfWNa4aPaHTB30y44OB7Ahil90dtqCbyi5VmISPUYv1IerfZ+3GQI3O4mIy0tDSn3vOF85DguR8qzEJHqMX6lFG/zs8Jp7Q6PQuTm5SM/MxuZOTnIl0eJSL0Yv1Jy4TCuNWq1GIcLOfKQLOy4E9yD7uCh/DkRqRfjV1JuBqJDPTG+dSW8VKEFfrI/Ck9PT3gePwYH26noM2Q+PEJS5JmJSM2MH7+823B19MSNGBNYnspJxR+XjmLj8oWYP28Jft26C3v27sXePduxdtEcrLI/g4RseV4iUjWjxy/tnA06fNoQEx3/QJ48RkSkb0aOXzxcVg7GX19+CXUHbkGERh42ATk5Obhw4QLy87l7g8gcGTV+2cEHsHiFDeYN/xp1a7XF2ksP5FuMq7CwEBYWFvjoo48wYsQIeZSIzInx4lf4AF6brLFiVwCSo1zQp34V/GOSK7RnlBmRiF/16tXx0ksvoX379vIoEZkTo8UvN9wLy+fMwLaz6cjPi4PdwEaoUq8vnGKMf/KsiF/dunWl+HXp0kUeJVKRwlzkcIvNf2Sk+GXj2iFrDOozHGsPusLl8GHYzeiBDytWw/frrxn92gGMH6lV4YM7OO3uDOcjbvD08cMpn5PwPxOEqKeOWSUjxa8g5XfsWTIOMzZ54uxpP/j5+cPf7zAmtKmBWp1m4HKmPKORMH6kRtkxAdg4fSSsZvwCB/dTOB/gCyfbZZg0cjIceF56KUaIXz7CfbZh5vSNCJNHit3Z/QOqvfcZJh4y7km0jB+pTnYMDs34Gq0s5yKg5HUoC1Pwu/dh+IXLn5OWgeNXiLhL9rDq2gh/s5iLU2H3H58nmxUFz18H4oOXXkblJv2wxfum0S4ZX5b4rVmzBl27dkWfPn2kiyEQGVJG6CH0aVQX/X85r2OzUR6yNbwQ5dMMvuSnSYnGjeAgXLsZgaSM7Mf/UfmZSIwOQ8jVYARduYbwhHSjHfRclvj169dPml9M9+/fl0eJDCP29Cp8Xr0+Juy7KY8U/R5n3MXxTVPwdbe+WLDvEh5wB8gTjLTDw7SVJX7Dhg2T5q9YsSKSkpLkUSLDeBC8C91qfoRvV51+vDZVkIs/Ts5C649bYrFPFvK58PcExu8ZGjRoUKb4VapUCQUFBfIokYGk38aWwU3xSceJ8Ep8/PuXGrIKX9Vth1UX5AHSMlr8IiMjceDAAZOc9u/fj6pVq5YpfhUqVMDWrVt1fl9OnMp7Onz4sHQqppB+8xhmDeiJIbM24rj/OVy6GABnu/Ho9sVg7LshzUIlGC1++/btk2Jh6tPzxo8TJ0NPJTezFKaEwm3vVuzc7wy3Yy7Yv2cfjp65gQe58gykZbT4OTo66vyPNLWJ8eNkytO7776L5GS+n2pZmET85s+fDzc3N5OZjh07hmrVqkn37Xnj99Zbb0mrzbq+LydO5TV9+eWXjJ9CJhE/b29vedR01K9fv0zxEzs8eBks0rdRo0YxfgqZRPyOHDkij5oGHupCpm7IkCGMn0KMnw6MH5k6xk85xk+HssSvb9++2seTmJgojxLpB+OnHOOnQ1ni5+DggOnTp0s7bzIzjXxZGjJ7jJ9yjJ8OZYkfkSExfsoxfjowfmTqGD/lGD8dGD8ydYyfcoyfDowfmTrGTznGTwfGj0wd46cc46eDiF/lypWl+9aqVSt5lMh0MH7KMX46iPgtXboUkydPxqZNm+RRItPB+CnH+BGpEOOnHONHpEKMn3KMH5EKMX7KMX5EKsT4Kcf4EakQ46cc40ekQoyfcowfkQoxfsoxfkQqxPgpx/gRqRDjpxzjR6RCjJ9yjB+RCjF+yjF+RCrE+CnH+BGpEOOnHONHpEKMn3KMH5EKMX7KMX5EKsT4Kcf4EakQ46cc40ekQoyfcowfkQoxfsoxfkQqxPgpx/gRqRDjpxzjR6RCjJ9yjB+RCjF+yjF+RCrE+CnH+BGpEOOnHONHpEKMn3KMH5EKMX7KMX5EKsT4Kcf4EakQ46cc40ekQoyfcowfkQoxfsoxfkQqxPgpx/gRqRDjpxzjR6RCjJ9yjB+RCjF+yjF+RCrE+CnH+BGpEOOnHONHpEKMn3KMH5EKMX7KMX5EKsT4Kcf4EakQ46cc40ekQoyfcowfkQoxfsoxfkQqxPgpx/gRqRDjpxzjR6RCjJ9yjB+RCjF+yjF+RCrE+CnH+BGpEOOnHONHpEKMn3KMH5EKMX7KMX5EKsT4Kcf4EakQ46cc40ekQoyfcozfCyMfeQXyh6R6jJ9yjJ+5exiBsx5HcMTNAydO+sLX9wTcfIORlJ4rz0DPJV+DtNQMaHJzkZ2VgbT0TOTJNxkS46cc42fGClOuYdvMERg5ey0Oevjh3GkfuO6cgZ5DFuF0aJo8Fz2PwrwHuO67Fwsm/og5K7dg/8ED2GW7BjYbduNMRJY8l/4xfsoxfuUoNjYWTk5O2LZtG+zs7GBvb4/Q0FD5VkPLhO+KvmjScRz8k+QhSSJcHVwQHH5f/pyeTwHuX92B7p9UhcVcF1y9FgT/o/ZYMPhLtO3xI5xvZ8jz6RfjpxzjVw5u3LiBmTNnokmTJnjnnXfwyiuv4M9//jMqVKiAevXqYfjw4Th58iQKCwvlrzCAh6cx/h+10HHGCWTLQ8XyNJnILlptM6bMzEzEx8dLL9z8/Hx5VB2yY70wtlMLTDgQK48USfLE8M9r4h/j7JFlgPVgxk85xk8hW1tbVK9eXftYRPwa/u1vaNq0KT788EPtuPglHTNmDNLSDLS6GbkbvRpURy+ba0bZJqVLSkoK9u7dCwsLC3zyySeoUaMGatasiYYNG2L69Om4evUqco0c5f9FVtRxjO7YHGN3h8sjjxyd3gH1/z4YKQ/1/4wzfsoxfmUkllY2bNggLeWJx9CoUSMsX74cd+/ew8OsLGRmpElLNmLVt1OnTtrHKpYCDRLAFA8MbVIDnWf7QldOxFKooZZDs7OzsX79ejRo0ED7PPzpT3/CG2+8gddff107JpaUBw4cKEXQlD0rfmeWWeLv9XohOU3/AWf8lGP8yui3337TvnCHDRsmha5YSlgo4kscVlJQUICVK1dq5x8/fjxycnLkW/UlCQenfIF6/xwPv4SSmctE1O07iEvXwBBHvojV2zlz5kibAcRjr127NoYOHSr9URCbAtzd3WFtbY22bdtK8RPztGzZEkFBQfJ3MD2645eLg+Nbo37bSXiQpf9nlvFTjvErg6SkJNSvX1+6799//z3u33+88yAvwQ9TLDpjlluJ7UEysWQolngqVaoELy8veVR/ciK8MH9Ad/SdYA37w0fhedIHp0664Yh3EOLS9L9qlpGRgQULFmjDN2LECFy7dk2+9UkajUZaJf7000+leVu0aGGyS4B5CT4Y17kFfjz4+A9exvXtsGzcAN+tOoVsA/xVYfyUM4n4ubq6yqPqIJZaxP3++OOPcfPmTXn0kSinSWhUtTIa/bAFcfJYsby8PO0q8OjRo+VR/SpIvIbDdjZYvtoWO3fvw2GvIMRnyjfqmbOzM9566y28XPR4J0+Zityix//fnDt3Do0bN5aeo169eiE1NVW+xUTkpyLEfSnafFARba1s4eZ+FI67bTFraF8MmrUD11MNcyQ546ecScTPEEtB5emrr76S7rdYknlC7h3smjMLi2f3xKcNumPjldLHfTk4OEhfK/YCX79+XR41PyJa/fr1kx5r//79kZEYXbSEnCRtHohPSEKWvINXk1Y0FhuNmNgkZOY/Wj0XawLvv/8+3nzzTbi5uUljpuMh7l31wf6dO2Hv7AE/f18cd3EsWpq+AkMmSGw6EM+trvgValIRFxuD2KLnOjYqEvfu3UPEvSgkPMhEngEPODB1JhG/5s2bS3sA1TB17doVr776qrRXVyzZlJTktwZz7U4jOtwbVi3qoOtsNzy9ayMqKgrVqlWTtv/t379fHjU/Z8+elbbhvffeezjp41u02BsD+7n90K5zP6z2DIdGfhFmxZ7BitGDMHPTScTL8RN7fAcNGiT9bowaNUpaJaYn/cf45aQg2PFnfNe9N6au2wNnVxf8ZjMDM5dtx0Ue3qlltPgdOHBAGz81TiJgly9flh+NEIM9s6bC1u8PpKfHw3FSa1RtNgSukfLNMrG9sE2bNtL3EIfIiFU8c5xq1aolPcZu3bohsWiJT+wQuOs5Dy1q1Me/HUtsD031xsJp1jgWGPvEITm7du3Ca6+9JgX0s88+0/kzXuRJRE88v7pXewuRcdEGHep8jmmut/AgLQ1J0QFFa1h+CHnq9/FFZrT4ib18derUUd0ktvO9/PLL0jF8Fy9elB9N0Uv76k6MHTIC0xbaYMPGX7F0Ui/U/qAeRm678sReVbFzpHXr1tqImvskNg1oj93LuYeNg1qi7cidiJeX/OI97bDBKQD3n9oc6O/vLz3Xur4np8eT2JmUkJAgP2uPFdzajl7Nv8Kys2KbaS7SkmKQkF40rq7jyfXKaPETx5mJHQBqm8QvmlhiE0slYu/kI1nwXGeNLe6BSMnJkQ5jyU29hc2Dm6Juj4UIKnGKxZ07Yahatap0fKA4uFcc4qGvSSxhFh9eI1Y/dc2jj0n8XLFkLH7ulClT5EcuFCDcZSZaNe4O26viVRgJ+/V2cL8UVeqYQ7HjQxwILb5Hs2bNdP4cY0zGek6fNYkla13Hjebf2oZvGreC1WZ3+B3ejjUr18Hz6T1wLzijxU/N+vTpI/3yf/d9v6I/qukI81qC7j2GYINnxOMXcUES3BZ9hT+/VBn9VrjjrnxoyeZNm6SvFWeAiO1/+ibOoBA/T9xnQxLHNYqfK7ZNiT8axfKSLmKORWN0X+iHuJtusPvNCSE69hQcO3YMf/nLX1C5cmXExMTIo6aheJW+d+/e8ojpEfGzbNQcA5fthuPujVjzyxb4lz766oXG+JWBh4eH9Mtf5YOqOOvtiuse27FwyS9wuRiJXLl+hdnxOO9sh5+mTcaC9QcRklKAB+npaN6sqfS106ZNezSjHokl0OJVR3HYiCGJnUHi54qlW3Hu82NZuLR5FNq0s8CIn7bjqE9I0UhpS5culb6+c+fOJnUohwh58R8US0tLedT05IVuxTfNu8A6oGhdt0h2ehKSH31IMr3Er7BoaejOZX+c9PaFn48XPNyOwe24N86HRJU6yV6NxMG7rVq1kl4Abf/ZDnciouVbni0/Owv/Hj9e+poqVaogMDBQvkV/xGllxorfrVu3tAeCi9MAS8qOOI5xn7+NGt+uRlBS6Y1QYolYHOQsvnb16tVPLDkam/iDoob4FYrV3qadsfTME5f0oRL0s+SXn437109gUZ/maNz939h+/ALOnTyENdMG4fvRi3EizHDXPdMXcWxi8QUN2rdvj/Pnz8u3lCYudWVlZSXNKw6TWbNmjUGu8GLM+IlgLV68WPrZYkdRQECAfEuRwjg4rZqKqTYeePoCUFlZWZg8ebL0deJsD1M7FlIN8St8GI9zdsNRr3J1WC52wR/J3Muhi/5We/PuYtv/1Ue1LvNxUbSuQIPE0CMY1rw22ozaDv1v7dI/ce2+4g37H3zwAX744QfpoNy7d+8iOjpaesFPnTpVOqBZzCNObVu2bJkBzut9xJjxE8S1DMV5uuLni8NVzpw5o41+fl4ONJonz4ZIT0/H7NmztReLsLGxMbnLXaliyS9Pg6TIW7h65QpuhMchPUf/f2jVSH/xy72LPSNbokHvFfhdHipaYYStZS182HIiLpjJ/4eIndh5UfyCFYF7++23pY31Yo+wGBOTiNCqVasM+mI2dvwE8QdA7K0V90EcHjRv3jxcu/Y70jMeIjdHI21CEHvQxUHv4iDy4udr7ty5Bvsj8TzUstpL/51e47d3dEvUbDcW9hdD8HvwZZx2soblP9pg6KqTpc58UDOxxCJOW+vevbu0J1Bs0xOnZ4nVYnFMn9jzKZYEDc0U4ieIAIrDMorDJs737dKli3QWhzgFruSlrsTe3fnz55vsBU4ZP/Ohx/hFwH5cS7xXtyumr90M21Wz0bd1TVRrPhC7A5MMdi05QxMb+sWpXadOnZKuSiIu6WQsphI/ISIiAitWrECHDh2kJePi2BVPYvueOFlfHPxu0CtePyfGz3zodclv94gWqN9rubzam4voICeMa1sdH3f8N9wjuRFW30wpfsXEAbliFVds+xSrwOKSV7/++utTpwqaLsbPfOhxh0eEtM2vvuUSBJY4L/3O+h54veJfMfFwijxC+mKK8VM7xs986C9+OWHYMbgxavVYhEvFR7ZoIqSxd+tZYucNczjiz7QxfuWP8TMf+olfQSZundyCkW2q4b36nTBqnjVWrVyCGaO+Q7d/DcZq1xsw3pawFwfjV/4YP/OhpyW/AmSnpyAhNlrayxkTG4f4+DhER0YiLvmhQd47wmDyNUhNii96nDGIjYtFdGwiMkzkDcgYv/LH+JkP/a32viAKM8Kxb7YlmrbsiVnL12LJ1FGYuNwRdx4af4+lyccvLxuaovuYrclExkN1XLCU8TMfjJ9iGngu7o32vRfhirheWsgqdKzTBNNd9XTJ3MIsJEQnIPN/2Flu6vErzErGpSObsHLdVhw64gqXY34Ie2A65/HqwviZD8ZPKc1VrBxogR+svSHWdvOvLEObmo0x3a3845eXeh8h57zhe9obnqcuIzY5H/mJ13H5dhLydGxLUMNq74n5PdFlhA18z5/Con6dMHTD4wvEmiLGz3wwfgrlXD+A/u1aYfgvHgg5cwjz+ndFr4lbcEMPlw9K/90bNnMXwz/8PHbaboH31Wwg+RoCQu8jV5XxC8fG0YPxk6O4eEEGtg1rg+4/eT+6yUQxfuaD8VOkANcPzES3L/vDevUyDLCwxJQt7kWrbvrZpZOXHglnm3HoM2AC7E6EIOVBGA6t24az8bpLa/LxizyI4T0tMeZnW+zYsADjJ1nDK/yhfKNpYvzMB+OnSDT2T/8W/xq7C3eTfDH2n+0w3eWefFv5K3wYi/NOq2E1YABGzP8NNyK8sGjaOlyKevrCUI+YevwiHOZi0LgF2LZ6Jiz/bx58wk3/ACjGz3wwfkoknMbs776C1daQok8K4TKpM9qP2fXozXkKNEiKiZbeK7W8lgMTg32xcfkGXI49j1U/r4LjovGYt8kLEc+4SoRpxy8Zh+dZ4ceV7oiOO4GxX1vh8F0NkKvBw6wckz33m/EzH4xfGRVoUhC4bwqafvJ3zHKJlQKX4DYNTRp2x/oztxF9+yy2LpiAsXPWwed2RrkEMC/hNtz3bIWznw+O+wbg+NqfsWKrC64/Y/ui6cavAOl/OGBo1y4Yv1Wc05uOPaM6ob+1M04eP4xd9qdN9orfjJ/5YPzKKC8xBAdXT0CffuNg63Hr0Ys1/TxWTxiFmasdERgahfTCGOy3+Rlrd1944j1pldJk/W/HxJlu/HIQdtIOE0aNwzr3UOkPQ7TnL5i8YB12OB7E9m0eJnsGEONnPhg/fXoYBjfHA/C5migPlJ24zFNiYiLCwsOlK0WHF/0bXvxvWBhSUkpfKMLkd3joEH71BLZv99D5pkamgPEzH4yfvhRkIe7387h0Mw7ScprCjVgajQYbN26Urnk3fPhw7STeGnLYsGHYt2+fPOdj6otfNoK9dmDRkn1Q/udCPxg/88H46UUmbnisw9ihIzFl9hocOnu71Bv1PK/c3FwcPXpUekvH5ctXYMWKldLFQa2traXpxIkT8pyPqS9++UiJ+QPXQiK42kt6x/jpRR4exNxCUGAQgoOu4k5cqnT2h1LiHdHEu5tpsjXSv9lFL8RsTZb0sa63d1Tjaq+pY/zMB+OnQvkPYxF8yhM+geHI/A+r04xf+WP8zAfjpzoZCAv2xe4lo2E5ZDH8wp59RgTjV/4YP/PB+KnSQ4QetYHVmEVwu5mKZ13ghfErf4yf+WD81CrjCpZ++zVmHAx65s4Bxq/8MX7mg/FTrQdwW/Ajlh0NfuZ7IDN+5Y/xMx+Mn9rkJSDIxxWOLp5w2euAU38kPHNPMuNX/hg/88H4qU1BFqJDA3H2fDDuxKXrvIhpMcav/DF+5oPxM2OMX/lj/MwH42fGGL/yx/iZD8bPjDF+5Y/xMx+Mnxlj/Mof42c+GD8zxviVP8bPfDB+Zqxk/Hr37i2P6t+ZM2fw7bffYsCAAbh06ZI8WlpMTAzmzJmDmTNnIjk5WR7VzdnZGU5OTvJnz5afny9N+lJQUMD4mQnGz4yVjN8333wjXflFn5MI2OLFi/HRRx9JP1NMtWrVwvr166XrEZbk5uaGtm3baudr164dXF1dpYu2lnTz5k1YWVmhUqVKqFixIsaNG4eIiAj51sfEJb/ENQ3btGmDwYMHIyoqSud9VDplZmZqn1PGT90YPzMm4vf+++9LL9QKFSqgTp06ep2KoyCmhg0b4rPPPtN+LkIRGBgoXYVaBEzcHzEuovbOO+9IH7/55psYNGgQQkJCEB8fL127sHr16trvUTzVrVsXtra2SEtLky7nderUKfTs2ROvvPKKdh7xdbruo9Kpdu3a2p/D+Kkb42fGxPap9u3ba4NgiEnEdtGiRUhNTZVWaydPniwFTtwmltw+/PBD6WMRELE0evnyZSmKYjX5jTfe0H6PGjVqaL9ns2bNsHnzZmzYsOGJoHbq1An9+/fH22+/LX1etWpVVKlSRXu7vqfOnTvLzzSpEeNn5sT7foglFAsLC71MYjVThODVV1+VVl39/f3ln/yYh4cHOnbsqI2GWCrcunWrtKpaTGxLE6utrVq10s4nlrLEarR4DMUiIyOloJZctX7ttdfQvXt3BAQEwNHRUef91Me0cOFC+V6RGjF+pIhY9bSxsZGWyp7erlfS/fv3MWvWLEycOBGhoaHyaGmxsbHSTpCxY8f+x50lPj4+0qruF198ATs7O2kpl+h5MH6kWiK8CQkJ8mdEz4fxI6IXEuNHRC8kxo+IXkiMHxG9kBg/Mo6CXGRmZiEnv7Dow2xosvV3ShqRLowfGUdeFqIDXbF+6QJYr9+B/Q722LJpJzyDY575bnRE5YnxI6PJueuAgY1qoo3VBnj7eWDtmE5o1H4kDl5/9nsRE5UXxo+MJzcAc7t3wNANF6VPC2+vR6v3a2HIllvS50T6xPiR8WSdxuxu/8TA1f5Iy8/Bxc3D0LRpL2y5zCU/0j/Gj4xHcxbzerRCh/6TMGnY1+hoOREHA+OQ/eRVrYj0gvEj4yla8ptj0R4/rHTHiR2T0bqZJbZce/b5wUTlifEj48k/j/k9OmL4psvIRRL2/9gZzb/+CYHp8u1EesT4kXEU5CAxeAu+qfMumo6ww43kQuRGe+LHLxqgZb+l8LgcgYzHV7wiKneMHxlHQTZigtyxeeUi2Ox0w+/xj0oXf8kB1gtXwv7ULaTxKlWkR4wfEb2QGD8ieiExfkT0AgL+H5qFtGHxxEFeAAAAAElFTkSuQmCC)
- 8R,
- R, R
- 8R, R
The correct answer is: 8R, ![fraction numerator 8 R over denominator 3 end fraction](data:image/png;base64,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)
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Physics-
A galvanometer of resistance
,shunted by a resistance of 5 ohm gives a deflection of 50 divisions when joined in series with a resistance of
and a 2 volt accumulator. What is the current sensitivity of the galvanometer (in div/
(A) ?
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)
A galvanometer of resistance
,shunted by a resistance of 5 ohm gives a deflection of 50 divisions when joined in series with a resistance of
and a 2 volt accumulator. What is the current sensitivity of the galvanometer (in div/
(A) ?
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)
Physics-General
Physics-
A galvanometer has a current sensitivity of 1mA per division. A variable shunt is connected across the galvanometer and the combination is put in series with a resistance of
and cell of internal resistance
. It gives a deflection of 5 division for shunt of 5 ohm and 20 division for shunt of 25 ohm. Find the emf of cell and resistance of galvanometer.
![](data:image/png;base64,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)
A galvanometer has a current sensitivity of 1mA per division. A variable shunt is connected across the galvanometer and the combination is put in series with a resistance of
and cell of internal resistance
. It gives a deflection of 5 division for shunt of 5 ohm and 20 division for shunt of 25 ohm. Find the emf of cell and resistance of galvanometer.
![](data:image/png;base64,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)
Physics-General
Physics-
A thin non conducting disc of radius R is rotating clockwise (see figure) with an angular velocity w about its central axis, which is perpendicular to its plane. Both its surfaces carry +ve charges of uniform surface density. Half the disc is in a region of a uniform, unidirectional magnetic field B parallel to the plane of the disc, as shown. Then,
![](data:image/png;base64,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)
A thin non conducting disc of radius R is rotating clockwise (see figure) with an angular velocity w about its central axis, which is perpendicular to its plane. Both its surfaces carry +ve charges of uniform surface density. Half the disc is in a region of a uniform, unidirectional magnetic field B parallel to the plane of the disc, as shown. Then,
![](data:image/png;base64,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)
Physics-General
Physics-
A conducting ring of mass 2kg and radius 0.5m is placed on a smooth horizontal plane. The ring carries a current i=4A. A horizontal magnetic field B=10T is switched on at time t=0 as shown in figure. The initial angular acceleration of the ring will be
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SEiBqT5iY4duTYF03sC34QCnVu8cyqNWrArq0tunbqiI4d2rJ6WRkl0UDa8hUrwX/NCtqhyYXkU2LqTJTWrWxRjiT83t1gzkZAUXB0cmKZ8uz5wtlh/vbtO3BwdIKSUrl8IVJRqYyZ5AOTmPjlg12DSSmk1kDUND5q1Cg8f/4MsbHP2DEsLBS79+7BqOGjULVqFfaxduzugpNnz3GhpSlRwtS7dz/2UNavX8vZCCgCCUmJ0NHXQ4Xyyvjrr384228jLzcPgUGB0CSlRtVaVVGrRk3UrFOTbQ907twZzteXExoehkZcK93H60zA9h1boMRN96hXty5Jx1+ci4QSJUxzZotWJBoxRhjoqkhERERAuZIy6taug+fRn5/+/SlYP9PDMNz97y5Cg0NJnSeElC7BeJX0bf1MISEhUFcX1Zlo48anGFhgE/Fxo8dwthJKlDAF7hct4NGmTRvORkARuHHjBnsvzZo1++41GQqb4AchUGuozuJH62SfIiBgH1ErRdPk7Wza8KaTlChhuvnvLZRVKs86154/F3YEVBTmzp7NMuDgwQM4G8Uh+EEwESZRyfSpfibKgX0SYTI2MUJ2tvT6EiVKmNIyXxPduRVL7K49uzhbgeIkPT0d+qREou/k1OlTnK3iEBoclt+a96kREJTxXqJNCajp079PyS6ZKLNnz2CJ9RzmWSizOgW+jz+uXEGFihWh3kgV8QmKN8zr7u17qME1r9Mm+49x/uxZ1KwpGptXt25tXLvGn5dV4oTp5PHjJME/QVdLFxlpxb9kbmln/s+iBUEH9OvHGg8UBvKhffP6NRb9JoofNS4uLvjz6kXcvXMbYaGPSan1EOfOn2WTCBvUr8/80D6sgwHy52SVOGGKj09AI3VRU+eeUr5hcXGTnp4BS6sW7F2s81/D2RY/dLDs3p174OU9CWbmzWGgZ8CMsaExbK2s0aGdPXo6eKBHp65oY9MaXbo7gi4SujdgzyeXXy5xwkSZO2sme4HNzM2R8eYNZytQ1GzfeYC9h8bqjfE08vNLZX0ZHxAWHokd2/Zg/15iDhzHAVJSnD199otXEqLqf1JiEqKfRSMpKQmpKanMJL9KZvZxcXFIiIsnx3i8THqJ7Owv27StRApTcnIymhoYsKEg+w8GcbYCRUkGUaEsWloyYdqwbgNnWzi8TErA1MlTUEG5Ars+3aBBpaIKXF2dERpafKNfikyY3r57h/SXqUjLyGDFf2ZKOlLJlyQjNYMZ+p/aUTfqh/5PyyRuUn7TST2ogF/ij/ph16TuxND/77OzMWvGdPagHXo44eWLl0gnL5e6ia+dH5aY/PuS/6nyzrn7is/F8cg/J/9pGtLo/fPPaZxFfiRpEJ2L00//s3MuTuLz/PRz8ZU6L+BeWGmgRpyG/Dh/Yxrou3mT+QYHyUeszE9K0G2ig6iYaPJ+Xue/H3qNt/T64vtz6Sh4Dcn9Re+a3p/Fm16f5KXU9HQsWfwz6tcU1WXERkdHG2vXrMX7rKJf+qvIhGnZypWwNrVCSxsbWFvbwLaFNSxb28LGshUz9D+1o27UD/1vZWuDVi3JfwuRuw05trIi/21Fflu2smF+rGxsYU3sWtm2JmFt0d6+HYxMjNjDLV+2PKyJP5u2bYk/kV9JWFsWXnxf+l98bdG5LTkX3Z/GQ+xuY2kNGxIPsTv9T9Mguh6JBz23IOlj5wXSQP5Td3H6Rf5JeklcROci9/xzEleREZ3T58L8FFIaaDzF4cVpEMfx29Ngiw72HaDNzRGqV7cOWtvZkffTmq1nSONOr2FvJboHDcvSWOAa9J6i+4veuzjuNJwNfcfEvY29PanbtIOGmug+sqZr5664eato1wIpMmHy9pokN9E/yigplYGycnm5boL5cYY+94LnyhWVpc4L05Qvr4QqKqKFTmSNUvly2LDRn8t9RUORCdOTJ49x8uQRnL94DucvEHPuFPl/AefPnyHmtOg/tbtwlvw/z7mTIz0/L/ZL/FH/Ynd6nfxrEbsC17pw4QxOnTyGFlYivX3QoAG4du1yvrvkWuL7kuvQuOXft0C86FEqXgXvS90LKw0y16Jh5F0r36/4WuL7kusUYxouXTqLnTu2oF7V6ihXvjzblPvi5YtfdY18v594DhcuX8C1v/7Evr17YGYiai0saGxtW+H69etczis6SmQDREFOnz7BHjDdSTAuRhhi9KOZN2cuW7uwu4sLZ/NjuHjpImzatJESovq165H7z0NqWgrnq2gp8cL0IScH/fqKpmZ06tQRGRlfvhC7wNexbe9ulPmpDKrVqkm0gGucbSHz4QNu37wJJ2dntG7TGh07dkCH9h3Qq7cj/rnxg+75hZR4YaLExsVCX1+XCdSv83/lbAUKk7t370KdW0th6dofO58sNTkZqampbKNoakSLQn5ZX9CPpFQIEyVgzx5SOVZifROBx49ytgKFQUrKK3Tu0pkJUo9ObfHmNX9NudJAqREmur70+HFjRLq1mhr+kTNTUuDbGDFsKHuuqhqNcPfBLc629FFqhImSGJeItnb27MVbGhkhJDSMcxH4FuiwHLrvK32eVSqr4EDAPs6ldFKqhIkSH/Mc7dqKtups2dIaCbGxnIvA1/LrItH62yoVK2Lntm2cbeml1AkTJSr6BdrZdWAZga4bHRYezrkIfAl0x/EVK9awlrvKyhWxY9MWzqV0UyqFiRLz/Ck6dWnHBMpIUweXrlzlXEovRw4dxaZN65Hz/uPj2t69fYvx48eLVLtKlbBrq1AiiSm1wkSJjo5C985dWcagyzft2116p7rfefgQ6o012bNYvlx+0zZdrL6no2jTsqqVq2LvLmFpgIKUamGiJCUlwMXdhWWQShUrYOb0aXhP1JjSxLusLLg6u7Fn0FhdHf/8e49zkXD58mWYmpsyP7Xr1cWxI8c5FwExpV6YKMlJrzB00BCWUajp5eGBiLDSsWFadm4u5i0QbaytVEYJO7dK139y3ufAf9Ua1KpRg/nR1tbD0aOHOVeBggjCxEEz1Zbt21G7lmhxjSbaujhx7BjnWnI5fuIEKlSuzNI8cvwwNlxHTMzz5+g3QLLwYldXZ7agpIB8BGGS4c6tW3B0dGSZh87gHDdmAh4EP+ZcSxZR0ZFEdTNhaW3fqT3efxA1PNy//R9+mfszdLX08gVJuUJ5nD5zlrkLyEcQJjnQsV6rVq1AzdqipZ3oopabt25CtpytF/9feZ36Bq6uosX069Sug4vnTuH02dPo03coGpA6kViIqqmoYIDnEBw/fgSZGRlcaAF5CML0Cf69+S+GDBmQn7GcenTHoaAgZH/BViWKzpJl6/PTZdzUCF3bd5aayKelrYUZs2fg7u07XAiBzyEI02f48CEPe/fuh4WFeX5G6+XshEsXLuH9J/pjFJlrf1xFDa7UlTV16tfHJO/JiIn58q0sBUQIwvSF0NVI169bB3u7tlzG+wkebr3gv24t7t95gLy8XM6nYhMfH4/2bUTjE2WNmoYaFi9ciNj4OM63wNcgCNNXkv3uPTZv3oFWLVvmZ8KySuXg4eGGgH378CTiMXIUUA188eIFLl+5BDd3dykBkjXVyitDU0cTA/r1xdLFi3H69Em8fPmSu4rApxCE6RvJSEvDsaNHMWKEJ2rXrpefGVUbqsG5hzNWLluJO7duFmv9KjEhAYeOHcME7wkwNzdD2XJlWRwrli0Pe3t7LPr9dyxZuQKeniNhbmrGdsYTp0NsKpQvh+MnSn4XQWEgCFMh8DQqClN8fFiGrVBOsiKSEjE9unbF0qXLEHQ4CLdv3UJcVBzevC7cVWbz3r9HSkoKQkJDcfHqZWzauAETx49Hw4YNpQRDjZw7OzviXNBxNn2iIHTJ4AhSqq5dt4YIlyfs7NpBTa0Rmmjq4ml4yewaKGwEYSpEXr16ietXr2D5mkXo1sUZNaqLRg2ITRWVStBp0gTdunXH8AGemD5tGjZt2oGrVy4j9OFDxMbGsrWsExKTmGqVlpbKpmfT/9SedqI+jYjAvzduIDAwEEtJyTJx9Hi4u7nB0tIaDVVFe7OKTVmlsmhq1BR+fr4IICUUXYz+S8nMfMNG0//z31XkZCnWBmWKiiBMP5BXL1Ox62AAvH2nkhLBBcZmZqhbvw7Ky6znV65cOVRUVkblypWhoqKCqjVqMcFo19aOqF+maKCmxuype6VKlVC+PH89wOrVq0NLVwt2RH0bNnQYFixcgDv/Cc3aRckPFyb6Zd2yeQN+/fVnLFw4n5gF3FGeoW5i8zE38X9Z+4J2sm5y7Bd9eZglCxdh8cLfsWiR2H0+Of+V2C/GInZcRMxCdly6iBhScV++dCnWrFyJjf7rsHmjPxb+Mh8TJ06CSy8HWNpaQaexDtRV1VG9pnTpVdBUUK4k154aJSJ81WvUgKZaYxgbNSelXUeing1hu9/5L1+NLRs2Yt3q1aTuthxLlyxk8Vq86Lf8eIqO4v8fP1+6aDGWLKL/F3Np5z8fkfmc/feEKejnY/bShua363/y91D6kfxwYQoLC0M18qWVlyFKs/mpzE9MDZPn9i2mPCnd5NmXZjPrM9tqFjY/XJjS0tIwd948TJgwgZmxY8eyLzSdYEbP6ZEaLy8v9OvTl9QrqqGvR294eXvnu0/2noxWlq2grqaJMWMmYNy4cczem/jpRcJUrqQCV+eemDhpEiYRQ8N5T/ZG6w4d0LhRI1YZF9+T3qfvgIGoXKYs3Hr1YtcYN466T2QbBHfq1BkaGmrkfAILQ+NLr9e/f3/ygpTg5uZOwngxe2omT56M9u3bo1EjNXI+hl1LlMaJ6NOnD5TKkvu49WTxEoUZx+7Trr096tWuh3HknPplcSZxGdBvACqREsnDw4PFdQKJM3Xz9fFhKlxDovLRdEzkng29bt++faBcuRJcSBhqXzBubezsUKtuXfbMqMmPm7s7VCpVRE8XF3YuDuNF0mZjbYu6deqy+xYM4+7hRt5PZTj1cGbn9PmI493athU01BthypQpzI4aGn83EieVKlXg2L0Hc6NxFrvZkrhpa2uzc/G1qH0vVzcolyf3cXBmaRDdfxJx80bHjt2goa2DiWMnsmcnvp74KP4/cuRInD5btGMJFarOtGPPXrRv11HuDnM0w072msSdSdi9cxcJ0x5v5Yyb69S9K3vRsuzdtxd2tm1A91uVxdHRCV4TJ3NnEvaRuNm0tEHKK/4W+f2IoE2Wc5/AgwdhaWWB5GR+P82QwUPhNcmLO5MQGHAAJsYmcvt2RowcQT4Y/DCHgw7DoGkzJBOVWpbhnp7sYyJLEIkbHRmfTj52sgwbPhzjJ4zlziTs37sPBroGcp/boMGDieDx38+O3XtgZGxE6o/89PTrP4B8WKZxZxK279gLPT0DxMXyO48HDx0o91krAgolTEOHDsWMafyiOeTRI2joaOOwnPXu+g3oBz9f/sa+oSFhaNRQFSeP8sO4k6+yn58fdyYh/FE4VNVUce7MGc5GgouDE+bOmsudSYiIeMJKpTOn+JPlPHp6sJ3GZYmKjEYdEje6xaMsHn3cMGsOf2/VyKhINKjXgG3qJcuAvn3x87w53JkE2vKnqaGB0ydPcjYShgwbhlkz+XGjm5Lp6OuyqRmyjBk9Ct6T+B+ayKdPYKqnj8NH+f1Ro4YOx7DRY7gzCXExMTAyMsLhY/z7DB40GAPl7MweHxcPYyKYJ08q5sREhRGmsNBwaGpq4czZ05yNhPXr1pKvqB7epEtvFR9GMotBMyNckFOcr1u7mqgQmqznvyBPHj+BcTNjnDvHD7Pa3x/6TZuy2bcFiX0WjWYmJjguZwrC6pXrYdjUkNwnibMRERcbi2YGhjh3mp+ejRvXw9jcHEkpyZyNiMSkROgb6OHK1UucjYQNa9aghWFTvEqWLhlfJL1Ak2YGuHL9D85GwsYtW6Gvr4dXMnGj+1WZNDXC9WtXOBsJ6/3XQUdXn5Qk0nGjw6l0DfXxz81/ORsJq0jcdLW1yHWl7xMfHwcj8qz/+uMGZyNh3Vp/6OpoIiE5mrMRQXftMyPP5tJN/sL7/qvXQY/kg09thVmcKIwwLVuxAk309JCWyl90fcigQZjkxS+xVq1ejaYGTZCWLP3iP5BfH48+GD16NGcjYcXSVWhCBCY1ja8S9e7TG8OGDOPOJCxfuRyGRGhpx2hBaMena09X9B/Un7ORsHrFSphYWiBBNj1EhXVxdsBQoubJQkdNmDY35X0AKD2dXJn6Jcu2TRvQ0sQMCTJqFI2bE6kPjRgxgrORsHnzRpibmSFF5rlRerm5kjCjC84RZOwhaq6pqRlSee/nA3o6O2HwEKIWyoTZuWsXmrcwI2qhdBiqxDuRuufg/oMAmSGNQUGBpMQy56mSOeS5OfXsCffe/GetKCiEML0nb6Fr5y6sTiBLEvkKGZLMf0Pmi5hH3nZ3JyeMGjWSs5HwLOY59A2NcPfOXc5GRN6HPDg49IDnCH59gH4RW5iZ49Y/0vfJzc1B9+7dSd2Dn/mjIqNgSsJcuy69YHxuTg6cXVwxiHwEZImPi4V5ixa4cOECZyOC1hNpZ+6A4fz7vIiPJxnZBCeOSas3dNRC165dMLBvP96IhnhSMhoZNcMpGZWIxq1T544Y2L8fZyMhkTwDU+PmOCmjetG4denUFYOGDuFsJLx8lQIjfSMcPymjGpPo9HDoTp41//3QwbZNDHRx4gRfXXN2dWTDm2SJJfUnLT1tHJUTRlFQCGGKSoiDDp0mfoKv228hXzdrKyu8zpSemBZFdHvaUndGjhq1bdt2WFpaIitLethOFNHtNUj95qwcdW33jh0wt2iJrHfS0yqeP3sO3cbaRP3kh9m3ey8siEpCM2hBnkY8hlZjdZKRT3E2ErZu3QoLqxZ4nyO9aEt0dCT0SF3lhBw1d+vmzbAmcZNtmIkgdUk9XV0cO87PYLt27GIj3HOypccGUtVYh6iLhw/zd6IP2L8XdvZt2WL4BXlM7qPbpAn2BR3kbCTs2XMIrdvbkDDSJUlEeATU1RohIGAvZyMh6OAh2LZqSUofae0g6mkk9NUbyY3b0cPHYGbZAilyNBdFQSGEaRPJ/O3t27O9aAtCv7Z27dpjwphxnI2E7Vu3wd6+Hd6wHRCkad+lIyZ68Vt8tmzeBLu2beW2Rjl07Y4xk/itXrv3HIaldWukyMwypQLk1KMHxo7lq5IBe/eSMBbISJduKaPqpwtRVUaTirxsSXJwfwDMTEyRLtMiR6d2uHv0wvAx/NL04IEDaEYq8W8ypbfJySMlVr/efTF+FD9uO/bthqFxM27niIKQuLmQkn7cKO5cwo4dW9GC1AtT02SfGwnTywnjJ0zgziXs2LaVDZ7NkPkIUmgDkLxW1i07iVpobEzqRPGcjQT3vu7wnTqVO1NMFEKYqG7vNYXfuhZMvojqmloIDOB/EXs698TUKfwXEvEkApqNGuNoEH8FHScnB0yfzm8pexT+CBoa6jh29AhnI8HV2ZmE4cct4skTqKmR0ucjrYV0JIIsjx+Ho4GqKts8WZYhAwdi5qxZ3JmEx4/C0Zh8rY8clo4bnbRIRzx4y2mVjCDpUVNTxf7j/PSMHTkafhP5H43w0HDyDLRw6Bg/PSNI3XP4KL4KHhVNSsYmegjYx7/PCE9PooLzBTOalD60bnzw8CHORsKI4Z4YPoyv5sYQtVBXXw/HD/Hvo0gUuzDRl2iipYszclrXNm9cByNDA/IVlf66hQUHQ1dHB0fkTA3Y7L8eRuameCUT5nH4Y+jq6eOEnKbl1Rs3wYCoPomJ0q1EUdFR0NPTxfFjfMFcRyrxJqameJEk3YL1JDEWOk10cV5O8/qmjf4wbmaGpETpFrm4+ERoauvg9Fm+Wrh563YYNDHgtZTFPI9BQ00NXLh4kbORsGXHTmiQ+kW8TP8WrUcZNtHH6T/ltOJt2kOeqT4SScYtSExsDIyby28x3bxxM7S1tJGUJN0fFEPuY0LewQU579R/kz/UtRojIVamxZTU1ywtLOR2F6zbtB6GjbWQIBM3RaPYhWnlqlWs+TZdTuuaZ+8+8J3I7whcs2YN0fv18fINX4WgPfujx/D7NdYsX0UyZTOe6kXp5+aG4WP5atTipYuho6tDMr90Rqb07d8bY+T0n6xcsRwG+gZIiueH6dPbHZMm8NOzbM0qGBs2Q5yMYFJ69xsIr4kTuTMJG9euh2lTY8Qn8Fv+epH0TJKTnu2bNhFhNsQLOR2oHr1dMGoCX53eSNRpQyJM8lo/e/bujeFD+Y0s27dvhzb5cL18xW8tdO/TB30G8hs/Nm7cCB0tHSSmSquSVB2mo0/69e3L2SguxS5MXbu5YOz4Mbw6REx0DOujuHJHevv5POLNwa0nCcN/8dHPokgdwhA3/v6bsxFBK+5upK4yajxft3/69BnMmpniL5kWufekTuTSi9RV5LSu0akQLSyscOWS9BeergTr7OyK4Z785nXah2TV0hoXz0m34uXk5qBH9+4Y4sHvpExNSUELc0uclmn5y32fDYcuXTF8wCBWDysIbb5vTupR52VKEtry161zNwweMpjXkJGakgyz5oYkbtJh6LW79egCzwEDWOtpQZJevCR1L2O5Hdw9enTF4GH8JmzaR2ZE6mvnz57jbMR8ICp4dwwaNJBElLPioH1khgYGOH+BXwIrGsUqTElxz6Gj1xSnzp/nbCRsIaqXqakx0jKkS5Kk2CRSwuji6uXLnI2EDRs2wNCoGfmKSoehaocmDfMnvzN046bNMNRvhsx06VIuKuY59AwNcVkmI1P8166FaXNjpMu0LD0nKlEToi6ek5OeNevWwMTMGK9lGjKekQ9AU5JZjhzlZ8rNpCSxsrbEW5nWtUjyAWhCSrIDcuo323dsh61ta7zOlA7zhNTxdPT1sUde61rgAdjb2eG1zDOIfPwUzQyaYr+cfZcOHQpEq1bWyJBJT2RkJDRInTVg3x7ORsKpU6fYdP8MmQagJ5FP0IiofgcP8Fvxzhw9DgsitClyNApFo1iFaeO6dbBra4d3MlO76ZezXQd7jB7Or/RuI5mlXVt7OdPBP6BTx3assizLvn0BsLa14bVg0VYvJ5cepPThlySBgQfRytqaFyY3Nw/duzhhoJwS6/SR47AyNUG6TAsWbZFzcnTECDktf3QGrmHzZuQZSI/uoM+gh6MDhnjy1ajAA4dIfa0FXudKN6/TfrQeDt0wcoQnZyPh4KGDMCJxy5Rp+aN0c3DEyGH8DuGD+0RN/2+zpMc90kKqc5cuGDWG38CwnTxrOlFR9uNEcXBwwNjR/DC7du2GtSURMhkVj+JCSno62Pb/gWITpqysLPZl8/Liq16379xBQzV1HA2Sbr3JycmFBfmyeU/i1ztu376Nhg0b4IRMn0tOdjYbBe3tzb/Pg7sPUL9eXZw+I13xpyqRjW0r+Pnym2Lv372DqjVq4/Bx6cYP9gGw74JpU/njBB+GBKNujao4dki6IYOqhXTXcDoiXBZ6n9q1auDgQemWzGyi4vV0c4XXZP4Yuft377LZvYFB0q2FOeQ+fXp7YKIc1fj2g/tsnOD+PdKlQjZRc91IHW/sWH7mv0viRp9b4P79nI0I+gxc3HoRgeHfJzQ0BA1VG5D0SIeh9O7VB55ymv4fRDxCXRIm6Ai/5U8RKTZhunv3NixamOGPK/yWpU1bNsHdzZ1XYt27dwdmFuZslR1ZNm70h4dHLyakBbkfHAxbsxb44ypf596wwR/u7m5EVZH+It6/fx+mFpa49hd/K/y1mzfD2dUZ6TJh7pAPgLFFC/x5nT8ObQOpXPdwcuKVCg8fPoQJqd/ckqnjUXbQfrTOnfFSZgjTPSIwRuYmuHlLui5J2bZlKzradyB1IOnGgvsPHsDM3BS35Iyr27ptC9ra2/JU1pCwMJibW+HGn/z0bCYqeLv2bZEsMxwpLDyMfYT+kjMpb93KVejYtgPSZPqqHoWFoD251jU5z2Dt2tVEQ2mPV3JGwysixVoypcgM9BRDO1XlLTry9u0bUolNZmqGLFR3p+6yvCUCmUYzl5ww9D6yAkuh0zlk611iMojaR7dgkYWOGkj5SJh0ErcsOfdhz0DO+DgKFbzXMnUlStbbLDnj40R89BmQ+9DnJg92n9d81Y8+l+SXr+Q+twyiwvE7fUXpkR2IKyaDCNHrTH6YNyS+H8sHtMNXXtwUlWKtMwkIlCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKCQEYRIQKBSA/wEGMPSPD+Q2QwAAAABJRU5ErkJggg==)
A conducting ring of mass 2kg and radius 0.5m is placed on a smooth horizontal plane. The ring carries a current i=4A. A horizontal magnetic field B=10T is switched on at time t=0 as shown in figure. The initial angular acceleration of the ring will be
![](data:image/png;base64,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)
Physics-General
Physics-
Calculate the magnetic moment of a thin wire with a current I=0.8A, wound tightly on half a tore. The diameter of the cross-section of the tore is equal to d=5.0cm, the number of turns is N=500.
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)
Calculate the magnetic moment of a thin wire with a current I=0.8A, wound tightly on half a tore. The diameter of the cross-section of the tore is equal to d=5.0cm, the number of turns is N=500.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARwAAACCCAMAAACjMYdVAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAAAICMXFxRAICBAZGe/37+/m7+bm3iEhGXt7hCkpMdbOzt7e3mtza729tToxOikhKYSMjEJKSu+UpWuUY2tS72sZ7xBS7xBSnBAZ7xAZnJxSvZwZvcWUpRBSxRBScxAZxRAZc3tSQpRSc3sZQntSEHsZEJyUnJylnGNrY7W1tXPFnELOWkKEWpyMEELOGUKEGZwZc1JKSghSQqWlrULv3kKl3kLvnEKlnBDv3hCl3hDvnBClnBDvWhClWmuMMRDvGRClGWsZlEJCQlpaUmNaY8XvvUoQQpxS70JS70JSnJwZ70IZ70IZnEJSxUJSc0IZxUIZc+9SEO8ZEO+MEMVSEMUZEMWMEJSUjJxSQpRSlJScY5wZQmNSjJxSEJwZEJR7Y3Nze0LvWkKlWpyMMULvGUKlGZwZlO9rpe8ppcVrpcUppe9Kpe8IpcVKpcUIpe/vEMXvEO+9EMW9EClSQkpSKUopEEpSCEoIEGtCvWsIve9r5u9Sc+9SMe8p5hlaEO8ZMe8Zc++c7++MMe+Mc8VSMcUZMcWMMcVr5sVSc8Up5sUZc8Wc78WMcxAhQu9K5u9SUu8I5hk6EO8ZUu+czu+MUsVK5sVSUsUI5sUZUsWczsWMUtbFpe/vlO/vQsXvlO/va8XvQsXva+bF7++9c++9MWvva2vvKcW9McW9c2vFa2vFKULO70KE70LOrUKErRDO7xCE7xDOrRCErRDOaxCEa2ucEBDOKRCEKWspc+/vve+9UmuclGvvSmvvCMW9UmvFSmvFCELOzkKEzkLOjEKEjBDOzhCEzhDOjBCEjBDOShCESmt7EBDOCBCECGsIc2tjvWspvffFpRkIKZzv75zva5yc75zvKZzvrXPv73Oc73PvrZzF75zFa5ycxZzFKZzFrXPF73OcxcXv5pzvzpzvSpx775zvCJzvjHPvznN773PvjJzFzpzFSpx7xZzFCJzFjHPFznN7xb3F5px7lFIxQhkISr3FnNbv/wghCCEICBkIAP/m/wAIAAAAAEW61/oAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAYY0lEQVR4Xu1cbZaburK1oGUhkECNJyHDTy/NQOo58JdB3Im8qWUyvUxYb1cJ5yQ5/enu5OTc650st40xRqWqXbsK4d0NN9xwww033HDDDTfccMMNN9xwww033HDDDTfccMN/Pzq7PbnA2p+3/C9Cqb0ycxF9F0LXdSX/D310se9Kgy2+nYPiPQ3/+e+GsnNqvffT3M5DiodDdGKDlHcS+HJ5pb9IiSdLbOd5iE0c/KfY548zcjfHoQ++b9Nmi5UfgUVqWMDFFBvtonN4oVNKD5HsIuQ9bbhgxUF8KMMxmO24/2pUdduHsX/QNLbLMLM5ZowzjKG0xsvVVEoZY5W1SaRS7dS+dGLpQ2mMmWEVlw6x4c+TMeXq5rKy5l8caRj1TG6yZB+gByGGLnQ84MO2F2DlaXsGF7tLPOLH/4jY8ZbQiLm0SlW2i/kYDOkaLeORd/kXwfre9zOFSUFe4hoMxXWmLH2thQ55J78M+Qlg5bfntmk4TyknWn5i07pZoGsRaXH24zimbB9A+n+N+6hwNMY34JMln3sM1j5WtndrZKNYr0XKWdrLif8CSs/bs10rs7skke1lY5FZ+AjLuJlzvh3O4uDN2B/wDauG+V2c//jUPzq5FJKoVg9zjKBSGeeK3lHHRjo2j3Ei+8auXy4mUTqHEkJI9vx3EANvsU5nt5lhmikfqpVFKvd74wcmsg166Oyf6UJKWdMNFEUbGo8zVWYczqs8eRqUCs0ykFVMFJGtowa5hdhObwRUxRMP0IvDV94wFLxLlRA/e97Sa+lA2F0SxR1MTzhkOivgQilroj8IVR/lZhc9H0MIc5JLM4x0nsrDfyIn3n2dCecxCfdIG3at2zKyS3nkYWOkKPMbXrBzla445Q1VC/ba2b6BJUj1qKqr4UDFAnl0RyewHti9/gwgATM9IpzupCjAv8kbqN4JeVdn+uickBNPKLJzjycqipbfMU3iv7vG8R91iLxftwVXWJl4ghT5SCo4OSvl9SIfyFhVl5DW3dAj/3WjzwIqgpiyqf9hdH3iM5JDXZZmnPCyOa8i1uV+18GdUkl7VSCMPPMIKTJH5YSnlxfP2DnBrtRtL6PjuLPOkRt0y0bddlii2XswWU1HMwkaGl9FQW39KVJSzIBT/eP8rHoK9gIPMs0BCo43mvoAoiQh1+Hss8vYQeYsBIlHAzWr5rOvomajHRberc0eMhbsOPvEnzHNlsCgd/qdOiF06XU3QOkww4wtiehCQ18DjisOpEk+4j8FGyDJZDqGI6QenZ50szfs0JXHWwfQR3DikMnCF8uIP7aMBQ2tZw8iX6npTyrIRWyToyoJZp6Sg8/GzcuCWI7kenxA5e9yZJG5qd7ovcnOorq6f8DZrJHzwD8BZXqOp2isZY9BYo0NxA0YhyOEzIMsbpLQZBToFJ0pqJMDEtE+ZgOoyPaIkh43qjGStynX0OiQ1NngfkFu62RO8fawJhxWmSmB2nI9asuxH4AWVWrO8Sn8A8Gluu8khpbniPIJUbR77PoBgQ9GpFFNjhLLbtJipnPHwHLmHjiw7CL5zMeGbBcFvZhyjuoRPYBnj/Ei808oUEx4ufCxOi1rBdeF0+hTjw/hjA5SI7AQWZv8ZMTfzj2WdQVyaRzm4UDVNJ/HMJGB1DHBbrHHSZm2kBgfUlSWeMjkNHirNfnWkMlXxRaOMZPnqOh4P8d8ZDUFnpHZYGHBMWrB5gXVUdWFkBUHsszOzBExXUND9MMM8v8ejgXF74IiqhFFanvPDgLYbppPMMlymnn0AW7tjjgpJPHhkRQcCx3VF2ydnl3CyohHEEyDHecFhzKSE3wn2WrDSvtmN0Myh0qcBDOzYvVsW4TNiAB99GCY1B/D6BN3N+BBTaOp7mesKVPWb0AYYm7ENA31XuJQ+y4XfibUmErdMrFYj2IKw7ID26UWDY0UZolwGvAMvahzEvIScdUWyPlecKUwc8qy4gGP4Y4NZRaw0GYbg2IL0aiRj/Cq6hvR9MaE4Z4yQup7X3akesrO90Pk4F8Tf9EvB+QYPDU9DGmY03BAjOM1zqn2NHgTQI93A59KVcPpsRGKFo9+zdYZRKqQXxZO54JtZMhRZrJLmyPoJOhPL2EulSOsiqjGQFnETo9phVFqWZCaRGgt8VgZaoxoiImf63NlyIkpp/KRfy1QUi91TplfrbFhJH08DY46E4nCf28wkzKX3WMUIFuFdIU3fK6njEatFHxBpdSWjSxV5MfzuKs0y2TlDhiiYcbZAjDBalazQ6lhCTtzEvfZiVZEbzkgYc3jZfgo8nzo+5o6aaFD/E1Eic2vji3SfHEsTehnlNyIK+0OyFPVozIlqilU4KT47PQFwUVTaDkQQBFUhY9Z2Hgx7NTugR1iytk8QQaXYNqNhAy3L/g92zRE3fQZaB8WRBP+QPlwBev1WleQl1Tl0nv4rB8c2EbKM/6BejQljb5jjmZP+2WAZMEMRC05V8pLLl+0axFUygY6TfJfUxfC1eQVgbL3HrxDCYlNYfUX7JEFTZntVa8lb7CZiI+8n3P4SOCejpFI5lOOQYgkFKec51SLUKVa4v6Y84KaIsRxhMeAc+DX1GAd6yjv3MY8F9/6BcA5MZph8iWkX4X/IEI/IXmtBVlFVciu8oBZtPWaxZpxCxR/IuFSaZZ2M7HO7p6KJrgKbZkQO90yQCxzsuphq5y4UJ9SMNTER475iIqtsIgZhsObsUJ9v2SPUNQwoZJK7fYIdUTUiPOjN2zX51Y9CsBsxU8HyiQ6vJs7utC0h0Zv+y6EstrvHs2xRVjLiOStyiQktbfKRkQqOk0D7WI16RO/0lA7SSpnprGqE0dXCTHUFfAINsUu0cZ5BaeYlUzYyRNlKvaqQVuj2Z1w/F4Zt8lvg9JNPwRrQ31yDXXbVrFKlFvuMPdGqXLOraZLS+1zEejYru/K0LdU2km54J+UpARPfVdVoYFjaZrF0CwUNEji3J7qyAfKBSOuGgoVJCyMp+OsfOTcvXcJBnrYjVnFRLJIIpqayJXgdqAjLcjS/q7Fx8klYaKaUudA/gQulJDCqPUQ8bDKIlfnQDcSViIK0Ke6VKSmIU43cvpMlBARiOZ0v0iUvihfJk+5YETJ2SLQ7/QQDL5eiqVFdEElEiH3gv/MxKQQOJj+rFM0PKHiZDQyySJrPZbgEs9+ZCSmd+/AMMpRNg/0yYEbg1YftmrCNIXfg+6JndRRy9ZWoYVry9j6zj5W1X6/U6qqbAj+QCSJXGHY97Oi+ESoPtONvkdy6lBo2gCj1P10DKWtoCX6B73IyaqKWhgtJn6WNEWdJq5BiYmU5TD/FQ0ZdRRJ33hGcNFogdRUBp4zs3ECGcxIeuCooi4G/ISipy86uBDiq3JwpF6cczoX957ITiwNtzL+jtxZEcNAjzK3pD8LyJx0UASVVcbP3/WUCDrNEwzm4UAJfESFQ9gjRGhWwQmwjtEY5EjZpl4oODht9VR2WseM3ELvnNPXQdMLTx/xtGNNz7BLlf0OFjsp0DmI7UAxlfUy3GcuyTT6BRmMlNZgF26jbi3bTwKmCXRTl/CXgcy0UlMJxS//d1+Y6BoEdYdMnkooWPwxFIhsFyLZrqh3SqJIMqBd4hs8Gm7uJbZWDXbWBzWwBmTj1FRNzETg3BuMtG03F8ZIyOP9LE67o+T20CS0Lw8wDQufZ0B5tlQ9F150svSdnwPyGwdxZ0iHry7Nl6ZSRnck3YWvTN6QeSBvUG1qqNgGUhYOQ6Ex4KEXzV4dSCyDY5DAJJEOZ+ndEXtCVbuGDkjGsQ6RpxrauUZAQVbjK41we26ReaErhBfbSziPMkW/eNGKSp4TzkJtPWY+pU8BXYCFPKBxQ+E803o0EzVG73qLisGBWxDcPQoi8pqJLuFVsISiPmmgFgbErtl91RrPcnkQim4ndSU5mU2wV5BFtduvGqxKuQsmwfe2IihXwF0Sdj/wJrxBKotT1rNAbGMXfkpqmjCQ7v44HkEw847TYJxemp6yxTm4fmwXCoZZLt3u8Z4VC03xgMCZcSAuMvFsRD4ihvGcrjzM9kWbfPHcr1xlwVWJpbhTOpAJlY5ZUtNlv15Q5wd+0zvRvMywFV0VZTcjcLslZ9GPwyML+hl0fHp1ZYztYULXT46EiJcwQymRODk6DMomuzpqVuAwTDoDMfKRp/SIc9eyywUCdTC4TxpyCB1JC8NfRmwfiMqTVhCVcBaPJIGQep6HCdDQBMr5DFA6gZtEH4TFt9MSCeShbctLUBOCa4CbYZQe04MHjK8ljxgQSSdQS0vOZCW8pqdkk4snv7RK6y77fo+BdBRhfNWGuhgdNwNToYh1II17HA1voYxYl1d1C8QWQILpgpp1IU4jXwu4GiioCbp+qxfSShoHTwMhhDOmBzxBEgdKBY40wkq5RHDCopqCq2eDkCdp6bPnkICGJNyDiTC9pH26gvilSdgbewxRdQsGW7Gi2C5tPAuUM0QzuQ29ge2FLR+8sn6kw1BifjtGkMDUkscchRwVdam4lTPc76umqTqOfrpKxWIvGyfAcrF4EJytBpgySGT1I7kWGYeTewfvoUteBtUIszHP27Yi4SX4RdfDt6hicGRxXfwBMM8v7fuoHYpVzi3x6ATWLNca3IvxEum2S1k1ZI0Z+Ya5GQyLsqBDvA0yN8UwaL8zZ3AOqZ/djOHP5G29rh4laGq6G1G60sdxbmS+V6C4cfgjckD8bfP70NL3Uxi8C7Qgoo13PcVTvUsQuC3+GviIxwlxWUnR9niG/XIHzMN4D7K/YxFY48W+SXuYC6dPHNUTfUYNS36BvmkU5X+Q9Jtss1H+T2DNjxP7ALhffMmB7wAm5i6eMbSwrtC0/aPReq8QKZSJ+ZoCdYx5vVLHxqGOepJBNsSQnkzhwOH1ghw9g2XYc5D5QTnEyeahMDxv/NlXYCS7489A1QfRvL24BmTeK6s0+M4gWb0N6oQZOsBTWg0jxcd0Bk1QSq6ycWheW4TLgxw1pZC8qYFx/AKbtDBAIuPoB7AUK50ReX7kouX1wMhttidAgYXvvxpE6lfKAVSGusbEQgmEEVM3LchVskScgasxpBoS0ZDYycaZYZy4BMdhwi0Kpyu2BWpScDl9pEkIp4iNPVVb7DgIy5+gfF628A2doItiTwBFH6fzK0GM9wa/fRr2i4ip8ODk1rp+5wvMuSxhq5lbXWSNjq5IZeM4Mo7sWp5l7hhHbLGUsmYkbcpfOz0gvGYEnZ9QRFIafyJeDNzhe2PgC59zfVRk5JBXAiruLYT3DJDH+yhN5bQZ9KOSemfPExzKj3RK1CRVXzDzm3GgEB+KblurQ9dhespUJABJL/OlcwRaiZ29GKIse1rH/FS8DOsPzs6C62kY2JdKl6tA6e7qDwOQyTRyJOYeCVxKZdaZmBdBodhzqHOMsZI9nKywP+KFPZUcpaM3+zOewJYTDVi7PcUZ8r38QpfGhHhKtKuZ0vwFl0VATwKs4corE5bVP8rK98LIpZ+FQYFE16HgG7ZIoIquWx0ED1JWoH4MOwWvGGiXGpmIPsmLK+7ZraAA9Im8Zbd70BXqTOR3iMyGO8PuSUKFyrrwtMpx+gwoYUnqxVyB8NeXXIeEIlTOyhXmEKEmjXJpNy+lpwTooJBrurhbE9eW1BMdCm+KnK6oPZ/omgUxcpKWOxao62fQzCC0aHReDP8EI+79+hcZHV+i3JBXoK5XOUDuTF4N6zucpW6OoJlap1WUVYRxEGTUpmz+j0e7259I/3O9RbXkTCsESO+hZAARK6Jlf4dIxF6oR8FjAcf6tvwGxv0ZqLrgr9slhsuKsCeRq0aBb3g/qshUeTU6TRcD4PtOjBNxs7WoplsxzrJXnIcgeZFdaPa5p0xtn+2qHjFyXl0A54WI5JbFKOdOaBjy21rnvJbnR8AwNO5oQ4A5Xxp5rtZfirvnYc+8pOF6POQvrydmZC9t5Twl5hkKpvwCw2sMI7A1BoqDGpOhqMdFpINTjtiPGF1FB0ae8d7J3kl4UV4OCdAl5p/REVFC+cWl6bi5/yxI6ABXRRV/y0fQ5TF4VJ6z7PpltI1HFCnKz1Q+WY1T54Un1T3lW9KJKi9Xh9JR8BQqoPQjTDWqBoE2aKuLgPfoEhrhKc+GXXAwSAaB6GJ6fxbcBHt5l+ewNVc+AOgkoA0ygV2Q0Us5Vo0zyVV74pKAkCEVRHPIrVK6MOG3uCKbRb1HRps4l1Ha6aU/CY9aKU/5M8UDrHOwOEBtHFT4S+C4uiqqYPsPUQ4ALQDMyMOYc7cisiojDtTXshKavj2DWPhLarosvjve4bkpuFQuyXVoeYGVeA3HM/L8aO7cjFKNuiiM5e8CmWCRJWd5gj1fUWlsnKtKR3Agz+FHwK7T9mIGwcbCDNIGMdBqCqq6qF2eHYVzEgZV0O1ofB2PKDVQB77CHv3uUR++gsl3qZiENBuRCsGrmZ8AfAeJLF8tfQndGftdVQJU7vq66gJ2nbYWJ12UWoIsqiRGpG17XulabsCodUktMRZz1NKAzyy0EJBYBzG10gICBF4rSlBg1ckIjoVCyHi2MHg8eugGWsfyIqg+eyrhPQf1bV8Y54m67n3AdCOlIHPoBrVQWGYrZUhUX86ga6goeoLaMDO/3Zqk2SF6cVC71EBHS22QxOwgapUk1ST52sordNGLh1e75zjQkxr7KRhayHYxt33t298CKnxjFI08zXexlhBxyYtUQ36AOVBcsv1rcENlRrqRYepCVwtHd5eHCDNwrYUNZQ1300UX5MnJflNvLwm83NN/BeQ5b1YrdPHrWy+fOusfUsgEooeUxP3d4MQctTnJPukeoUGNVAO/0vOB+FVe7tXCU34oClLBhRRFmnotdJISRZqz980s7i4y59mwAtr19Zq5xIHfXnfWf3kZCYWPNCwY3Kg9RZTRUcp+OWB46e4hohIlyryMEaZZxDkvqZZf9LbSkBZH8ZMLBtPAC/V2OZfwgtToKChfAybn7RcgKlrrsWHPvvvBuDJ0DAe1D9k2JDlfyELzBScYgO8OnzplKZjV4Hqzg4CrpYyBFjzOX/ju83zbNUOK+2n7sQK8eJZxkWrfUDOjfH+7zM2rrDK4ty/+utX7KgQeAiIG7jDCh+nlBlpqlcqvlf/uGvPX7e9uvGw0Rtm6D6Fv3Xqx0MANUsazWqPLt/e9DLr9Znv6BtTfpaeKvBsZZnt5HejS2VYIpTmvG8KGRuvYh+mZNVjPQB198Lw46Hs8c3qY2dcPTr28txePtvluJmwqUdq+bwA/gy6zC52j4DLvciiVvV4i9M59z0RPZ4w9L+t4DdPdey55TrTU6BtQ+3y08iy3IVygTyl9zBUxcOXT6VsB8XSBYJY3sLEF7719kqz8Ka9BKnyIkFnFX3B2Md8J+wF8G7Hln8cgPJVPH09vWC9K61Le4Tj+b8ogiPuPuA7TcYYewif8jFL112Ds5T7By13pF+zt7ri+PqcK8vTtyyarLl9Q+x5VXqV4JchvGUvku5w/G2V2zJ+GWLrWvaFJd1zesSxwT3eV/C1SA91wei0uGfeX3YK697yc7ccV6dQIkO61OQ36XQI39JMff67UqNt47chyY2F9boHlB6H4VCu6S+cH30GiIryiX45nvi/3g3iM72Gt75EbtG9bK3cFLof92oGatxuzGRxrLy8tUbDopyzThoq8inZ40RP9IsEvh4WL6q0+t7QQ/LXFXsRVn2IbxPDy44X5t6Ek29Sfs9T3VaC6Xxtes6hQcP7oSH8Dr0N+50q1Z7HHxLw7so4UUx9usr4ZtHZ27SsaMSj6pYVo6ohZc58Y62Sdt3c9APrBEzH81l/R6mAUfaa1YmJ5vo+jOmKkz1mdfUF/FsM71qTSr27w/Zu/FXTXzNomkX+l6Qns1Uhl68v3AVwB+rW++Y0/1qOw8932c2W/FWrKv0Vg/mqDf8O+MqGGJpX5F9U+F/ZQIJTf4Dx0f+d6+LiEuA7d0Ego39R3lbIVpJDaq8oY4+mmDMTdbN5FD28G3U1xeO33LhWtXv/9EfUdcAbcbaWfkUhzO8/5R6FwVk16y+ReCdXDLelOve3132G6lm66f+mSwO9AFXyKdHswjLSshdR0e/D0q8ToBfuafpYm+vGJPKQQ0/Ct8z8WUT+j6o5+8sfgO/ubftmsGrlPqQfvR74JFjBdFzz/pNkSh482bP7lUGHI90kW9ANHdIdnvuK0HtrxNwniPxq2g6ckuuACSCndKfX0UyM3XKCsKQP9XnP5p/4a6A033HDDDTfccMMNN9xwww033HDDDb8CKv+0/YZ9qPnnflRXv/gDWP8j2FeP311LUuWRbbI3Yfw1l5huuOGGG2644b8Au93/A8OCg/d+fm3BAAAAAElFTkSuQmCC)
Physics-General
Physics-
A straight current carrying conductor is placed in such a way that the current in the conductor flows in the direction out of the plane of the paper. The conductor is placed between two poles of two magnets, as shown. The conductor will experience a force in the direction towards
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A straight current carrying conductor is placed in such a way that the current in the conductor flows in the direction out of the plane of the paper. The conductor is placed between two poles of two magnets, as shown. The conductor will experience a force in the direction towards
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Physics-General
Physics-
A long horizontal wire AB which is free to move in vertical plane and carries a steady current 20A, is in equilibrium at a height of 0.1 meter above another parallel long wire CD, which is fixed in horizontal plane and carries current 30A, as shown in the figure. Find the time period of oscillations when AB is slightly depressed ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A long horizontal wire AB which is free to move in vertical plane and carries a steady current 20A, is in equilibrium at a height of 0.1 meter above another parallel long wire CD, which is fixed in horizontal plane and carries current 30A, as shown in the figure. Find the time period of oscillations when AB is slightly depressed ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
Physics-General
Physics-
Figure shows a rod PQ of length 20.0cm and mass 200g suspended through a fixed point O by two threads of lengths 20.0cm each. A magnetic field of strength 0.500T exists in the vicinity of the wire PQ as shown in the figure. The wires connecting PQ with the battery are loose and exert no force on PQ. A current of 2.0A is established when the switch S is closed. Find the tension in the threads now.
![](data:image/png;base64,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)
Figure shows a rod PQ of length 20.0cm and mass 200g suspended through a fixed point O by two threads of lengths 20.0cm each. A magnetic field of strength 0.500T exists in the vicinity of the wire PQ as shown in the figure. The wires connecting PQ with the battery are loose and exert no force on PQ. A current of 2.0A is established when the switch S is closed. Find the tension in the threads now.
![](data:image/png;base64,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)
Physics-General
Physics-
A particle of charge Q and mass M moves in a circular path of radius R in a uniform magnetic field of magnitude B. The same particle now moves with the same speed in a circular path of same radius R in the space between the cylindrical electrodes of the cylindrical capacitor. The radius of the inner electrode is R/2 while that of the outer electrode is 3R/2. Then the potential difference between the capacitor electrodes must be
A particle of charge Q and mass M moves in a circular path of radius R in a uniform magnetic field of magnitude B. The same particle now moves with the same speed in a circular path of same radius R in the space between the cylindrical electrodes of the cylindrical capacitor. The radius of the inner electrode is R/2 while that of the outer electrode is 3R/2. Then the potential difference between the capacitor electrodes must be
Physics-General
Physics-
A particle of specific charge (q/m) is projected from the origin of coordinates with initial velocity [ui - vj] Uniform electric magnetic fields exist in the region along the +y direction, of magnitude E and B. The particle will definitely return to the origin once if
A particle of specific charge (q/m) is projected from the origin of coordinates with initial velocity [ui - vj] Uniform electric magnetic fields exist in the region along the +y direction, of magnitude E and B. The particle will definitely return to the origin once if
Physics-General
Physics-
A particle moving with velocity v having specific charge (q/m) enters a region of magnetic field B having width
at angle 53° to the boundary of magnetic field. Find the angle q in the diagram.
![](data:image/png;base64,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)
A particle moving with velocity v having specific charge (q/m) enters a region of magnetic field B having width
at angle 53° to the boundary of magnetic field. Find the angle q in the diagram.
![](data:image/png;base64,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)
Physics-General
Physics-
A charged particle enters a uniform magnetic field perpendicular to its initial direction travelling in air. The path of the particle is seen to follow the path in figure. Which of statements 1-3 is/are correct? [1] The magnetic field strength may have been increased while the particle was travelling in air [2] The particle lost energy by ionising the air [3] The particle lost charge by ionising the air
![](data:image/png;base64,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)
A charged particle enters a uniform magnetic field perpendicular to its initial direction travelling in air. The path of the particle is seen to follow the path in figure. Which of statements 1-3 is/are correct? [1] The magnetic field strength may have been increased while the particle was travelling in air [2] The particle lost energy by ionising the air [3] The particle lost charge by ionising the air
![](data:image/png;base64,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)
Physics-General
Physics-
A particle of specific charge
(charge per unit mass) is released at time t=0 from origin with an initial velocity of
in a uniform magnetic field
. Find position of particle at any time t.
A particle of specific charge
(charge per unit mass) is released at time t=0 from origin with an initial velocity of
in a uniform magnetic field
. Find position of particle at any time t.
Physics-General
Physics-
A block of mass m & charge
is released on a long smooth inclined plane magnetic field B is constant, uniform, horizontal and parallel to surface as shown. Find the time from start when block loses contact with the surface.
![](data:image/png;base64,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)
A block of mass m & charge
is released on a long smooth inclined plane magnetic field B is constant, uniform, horizontal and parallel to surface as shown. Find the time from start when block loses contact with the surface.
![](data:image/png;base64,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)
Physics-General
Physics-
The direction of magnetic force on the electron as shown in the diagram is along
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tIJsYydtxY/mUIrUJSFBaB3w8fxKZNa7mmKNiv8I3rN/AogqYWUQVCl/6iSeF9NNuEK7zWcfCXX9HJVNky+N/UsHFDrHB2RHxsvLiH7iHRGIt0f+0LeTfdQuzYsRUt2zTHvC/mIjktVWkkXhmhg5yyH4vmx7yNjo3Gxg3fY/GXDvjqqy/h6PgNli79CkuWfIlly77GRbeL4pYvRpo/oRIUFm0ZNuF1SEhKQv/+ymEuDQz0mVjOQ2ICNUW/DqWGTbit2WET8vLyUFAUB3wiDcoflGch5MZER+DKdXd43LmDW35euHnHBz73/JGrkLMN8hEU9ADXvXxww9sDl29cQXScdtd2pCcs2jJswmuQzdygEydOoGHDRvyeKlUyxDfLv0WeTLcCeOpEeAlR6QoZw8tbWgM9CcLi5++HWR9/DGMTYzRoXB0NGjTALz/9XCRQfx0/ia6dOqJxU2N89NFc3PO9xwVHW5FcjEXbhk14HY4eOYy6dU3wVkUj/LzvJ5ZDAd1XRfl2szBsQjV43JDmS36JyQmY7zCfl/MKehVYDab4PqKjo9GteydWu52vjM3kC2Xl2TUgbUByNRZtHDbhdTjvdh4HDh5FYV4hZNkK/HvhKm9OJV4OKddYSqKQKTDOchIv66PHjuZ5MuZaOS53xKdz5kgm4Cu94K2tFg6boAJyc3OwZs1K1KxeCwu//g5yCXUC1AZOnTzJy0f1GjXh6SXt6T98AwLQqGkjVgPTwzbXDfhp926MGWSGqEfSmeZXejGWhdIP3j6Lu3d90Kx5E36PQvp2+XKk5dBodGXl+JnjqFixIqpWr4GbOjDm7eZtO5VlgblEpt06wOuWtIbblFyMxcHBVid/zYWepD/s+QkmJiZF4rLe9QfRSryI0JBobP9+N/bu2oqYBOn3D5HnF2LkqA94OejeqwfiJNZqKAlhKdnzdoGtnaS69L8se/b9ghrV3kIDoxr45eB+MZcob8jlcthMsUH1mtV5uf/sswUsT/mmvBSg4K2WITh5+37ag6O/HeLrGWmJcLt0EXGPad6i8kMhHJ2cMHXqVOw78DuMjU1QpUpFbNm6WYvbgUojSWGRapf+lyUjKwNLv16KRk2a4Fvn5ciQ0ZAL5YEjR/7EZMsJCBVn23T8ZjEv+02bNoG7xzWep+1IJsbyZDwWqXfpLyuCdN4NDECbuspxU2tUrwzHNRuQkUFDLugywf53MX6CNf69Ufy+U3h0FMzMBvNyMGrUCMTFa38MSTIxFm2bCfFNU8hqZcKr97t27mJV4Tr83qtUMMC2HXuQX6j791/eEIaA8Lh1C/369sG7/QbgcULxIOzZsnxs2CK2ErFkN+czPAi8D7nQ30lLi4LkXCGhS3+BxLv0vwx5TER2/LgPVavXRJNmjXDJzU20ELpEAquFLHd2xtAh78NyrBVOHDumNBTm4Y6fDxwcFmH86PEwHzoGVhbWWLL4SwT4BZCwvA6lhUUYTLt8/WILd7v/8J9wv3aJr6enZeD82b+p5qJDFBTkIyc7C3KZnH3mIisrW7QUsvV0ZKQl8B7Z6TIFMnNlSEtNQ64WjzYnuRiLlMdjUQWpqamYNm0KKr9VCRs3fy/mEoR2IQlhKTkTor2tHeTlrMZSkkuX/0HVqkb8WQhvRa9dtxY5eboxsjuhO0jPFSonwdv/R2ZaCtavXw9DQ0P+PAwNDXDgwO+ilSC0A0kIS2ZKZnE/lvm2UOhwz9uyUFhYiNUurjCsXAXt27fHtSvuooUgtANJCEtKSkpRjGWBnW536X8Zdu/diytXrvDlqKhonDxzDtlZ1M+F0DySi7Hoepf+V+FhWDisbaxgYlwbmzZtgJwGjCI0jORiLCQsT/PPmTOoUqUafz7Gdepg9487oZDTMJeE5pBcjMV+fvkO3j6LHFkOVn2/CZUqK1uLhFajs2dPilaCUD+Si7EIrULl4V2hl0UYdHnl6tUwrGSIAYPeQ2BgkGghCPUjCWFJTUktirEssLVFYTnq0v8y5MlzceTIYQQ/CObrQcGhOHvhHCjUTagbycVYynvP27ISGRGJ3v0HshpMRez7dZ9kxvEgdAPJxVhIWMrGgQP7+PMSUlUjI/y072fkU0CXUBOScYWKxmOxK99d+stKRmo6ln2zlPfMFZ6bMJbu+Yv0ZjShHiQnLOW9S//LoJDLsezrJdA30If5qA9wPyxctBDEm0VyrtB8e+rS/zLIsnLxy88/ISxEGdC97e2N0+fPSmpgZkJ6SC54q+zST5N5vQoentfRvWt3NGncGEcOHxBzCUL1SMYVoi79r8+ve/fAgD1D4TnWr18fh4/+iXxqLyLeAJIQlpId5ObbkrC8Kqnpafjq68UwMNDnz7JRg6a46SX9WQMJ7UMtwiKT5WLJV19i9Jhx8PJ5+YKclZoFKwsr/sewcJEDZDQk4yuTLZfDwW4BDA0qYdq0GUiKL55hj+SaUBVqEZZ7fr546623uDBMnjZVzC07KUkpeN/MjO8/c9ZMVn0nXoe09CwcOXocyWlJfN3Twx3HTx7nywShCtQiLI9jYjFi2Ado0aI5Dhz4TcwtO4ePHEYNY+Xbu40aNIevxz3RQrwuV93c0bpFW9SsVRNHjv8l5hLE66G2GEtcQgLCwsLEtbITFRmF/u/156LyJFlNtIJCQeO8qoI1q52LnmvjJk1w9Phx5Ajz1RDEa6DVwVvB5fn6m29QQa9YVISkr6+HnTu2KTciXoukxGTM+eRz9kyVz7ZD2w7wf0BvRhOvh1qFRQi55heWPUR46col1GtQr5SoPEkNGzRAwD1yiVRBtiwX9rafoW6l6vhi3udITIwTLRTOJV4NtQhLrkKBazc9YP/FfJw+dlTMfT4xjx9hyHDzZ4rKkzSRuUTpaTTGqypITknFyaN/ISUjg6//feYMzridpSEXiFfijQtLaGgwpn8yC42bNeFisHzZMtHyfH7e/yP09PSeEpOSSWhpOn6UWjNUxZP6ydEDf6JpkwZo2a4tzvx9VswliLLzxoUlLjER6zevR5UqlbgYODk5iZbns3LliqeE5L9JX18fu3b9IO5BqIKCwgIm/suLnnFb05a4dNmNubHkFhFlRy2uUH5BHoYPV/ZDcXZ2FnOfz4oVpYXFwED5+n/lypWL8/X1sGvvTnEPQlXExyRg5oyZRc+5U8dOeBwbL1oJ4sWoRVgK8vNhYzOVF9KyCIvw27huTXEzaKcundkvZ1u+3LVrV7Rq2Yov6+lVwJ49u5Q7ESolPSMVk6ZP5jMuOjo7IidL+TY01VuIsqAWYVEoFJgyZQoXg7K4QkLA0HXlRr590ybNcOC3Q6zGM5yv29hMx+Hf/4BRlcqoyNb37dqt3IlQOXGxMTh96hQUYr+WY6eP4dKVq3yZIJ6HWoQlLy8PkyZZc2Eoqyu02nEtD95u+GE7EpLiMHjwIL7/+AnWyGce/1eLF/D17T/uEPcg3iT79v0Io6pGaNmyGa5euiTmEsSzUVuNxcZmcpmFJa+gAKvWOGGM+RjIs7OQkByHnr168P3HjB3PA4xZ2ZkYMswM329YL+5FvCkK2fOe98Vc/vyF9Hbnjjh34QLkNOAW8X9QuytUVmH52+0MvG/f5uuPHkdhwHsDi4QlRyHj+dfdr+Mft/Pk96uB+MdxmD7loyJxGTzIDPEJFNAlno3aXKFpU6eVWVgEociS5SpXGIKwvNv33SJhyZYrhUVAIVOwX1SSFnWQHJeMiRMnoV5dE2z9YSOrOSqfu/A/fQNESdQiLAKjJ4zhwrBq1Uoxp+xEx0Siz7u9i4WlhOgQ6uVxxGNc+OcC8vPlzE2V47f9++F+/bpoJQglb1xYEhOTcOzYMdSvXYcLw8CB/XHxwj/IyckWt3gxkZER6N//PaWwjLPggxURmkWoKbqsWo0a1WugT9dOuH3jlmghCDUIy8PQIOzatxeb1m3E+k2b4LppI348uB+xiQniFi9GEJZ+/QaINZZxrMZCI8xrmszMTEz/cDr/ToTUrUs33L7lRW4pwVGbK/RfXqb4RUUJNZaSwkKukDYQFROFsRZji8RlmNn7yMqg2RYJDQrLy6B0hajGoo3ExMZgmLk5H/X/wKFfxVyivCMZYSl2hYTgLQmLNhH8MATXPJQ9cuUyOXb9uBvXb1BAtzxDNRZCZQgDeS13/o5/Tz2794D3bWEgLoq5lEckISwUY5EGOdm5GDl8FP+ehDRg0EDccndHAc1cWe6QoCtENRatpbAQ0RHR+GC0ss+SkGZ/OguZOZniBkR5gWIshMoJCwvHyLHmaNmiDc6eOC/mEuUJcoWIN0JIaChueio7zcXHJ2Drpg3w8fbm64TuQ8JCvFGS01Lx6dzZMDQ0wBCzgQgNDxUthC5DMRbijRIbEwczcSwdIQ0c2A+BIcGildBVSFiIN05g8H30G9CvSFymfzgN+YXUUqTLkCtEqIX79++hZ893YGraFjc8rom5hK5CwkKojcDgQPgFBPDl2MQ4rFu/lq3TbJa6CLlChNpJS02FjTDwl14FDBs2HA8CaK5oXYOEhVA78THxeE+sgQrJynIk7vn5i1ZCFyBXiNAIfn4+7MdCOdyokJwdHUULoQtIpsZSWlioxqIL+Nz2Rt++/TCg7xDcvnNHzCV0AQm6QtSlX5cIDg1CaFAYX37g74OljisQGBHB1wnpQjEWQisIjnyE9wYP4d/xKItRiE1KFS2EFKEYC6EV+N7zR8dOnfl3LCTLiVaIiokVrYTUoBoLoTV4eXmiQ4cOReLitNpVtBBSQ5IxlhwSFp3F3d0dnTt2xOBh5ggLD+d5chqFTnJIRljIFSo/+Pn54dGjR8rle7exapUzwqKi+TohDSjGQmgtYYEhGNSvD//e586ehazkZNFCaDsUYyG0Ft+7d9GySSv+veuxtHTJYiSlkbhIARIWQmvJKwROuv2DJs1b8u/esFIlHPj1FxQWUMxF2yFXiNB6Dv3xO+rWrYtevXrD19dXzFVON0JoJyQshNYjCMgFt0t4EBDI1+8/8McvB39BfkEeXye0D3KFCElxPzAA7w0aAH19PaxwdBZzCW2DhIWQFIf/OIbKlarwsmBgYICNG7+HgtVcCinsolWQK0RIiry8AmzctglVqirFRUhbdu2ieIuWIZkaS2lhoRpLeUaonGzYtoXVWCqgajUj7Pn5Z6WB0Bok6ArRsAmEkrWbN2Dv7p18OTs7G57XvZCcns7XCc1CMRZC8uRk5sDZcSVat26N77etR7ZCJloITUExFkLy+N+7h6YNm/HyUb9ebWzdvB3yfDmzUERXU1CNhZA8MlYeXF3Wo5pRDV5GatSshi2bNyNPQeVEU1CMhdAJ8gvysWXDFlTSN+TlZOmSJVCwPEIzSEZYqFWIeBHyPBk2rFuJb79egsTYeJ5XSA3RGoFiLIROwaMqYm+5sLBA2EybgjOXaEpXdUMxFkIniY2Jw+DBg3iZad7GFDduuIsWQh2QsBA6SXxsAiZYTuRlRkjt27fBNQ8P0Uq8acgVKkfI8uXIyc3hYwZnZWXxz+zcbKSlpyI9K1PnGmcjH8dh4mSbInHp0q0LgmgSerVAwlIeyAeO/3UCs+Z+AksrS0yZOh2TJ0+F9cSJGDd+Ar6wd8Ctu9462esjLjEZFlbjedmxtLZgZSlStBBvEnKFdJxHETFw+nYJmjaoV/TLXTK1b98Ov/32K3JyssQ9dI/oR9FYv34dwsNDxRziTSM5YRlvYUn9KcvIsePHMGiIMoD531S5cmV8+ulMPI6m0e8J1SM5V8hsiBmCg4IQGfUQjyNjUaBQti7GMn9a+EWKjAzjn1Exj6FQyIGCfDyKLW17xP6Y8uTKzlPx8bGlbDExkcjLEw7KbHHxRbaICCE9RJ4ijwtbYmJiqf2ioyOgyM9HXmEBklOT8PBhiNL2UHm+XOFahP2SE/EwLFg8ZijCo6KRJWPnY0eNT0pixwpDJD8XOza7byEGIpCcVHwtwmdUVDjvcSqQxKr7D0VbZGQ4bt/0wcIF81HHuM5TgiKk2m9Vg52dLXx87+J+wH34+t2Ft7c37vr5ITQkFBHhDxEQ8IDZfXi+kITl0LAgRLPzPgi6Xyrf964vQoJC+DUFBgQV2YR8X3aOkEClLTgouNQxvX18EBLKjhnN9gt+wNbZ8bx94MPyBXtwYDCi2P0E3Q9m68o85TF9EfSAHZPtFxIShDt37rDjsnxm8/a+g6CQB/w6hc+iffx84H8/hNXMaNQ5dSCRGks4+vbtz/8oqlWtjB7deqBdhzawHjcRqUmZkMtyMWf2bLQ1bYOOHTvi7bdNYWE9ERkZachnymNnOw+mzNapU0f+aWlpieSUFHbkQsydOwdt27Yqso0ePRKxsY+ZrYD9cdrDtF1bZnsb7dqZYsSIYVxQhDFBFi9dzPKUNlPTthjCagaZGalMXArw7QondsyWzNYJbdu0ZsccwwTkIb+XpUuWok3rFvx87dh+o0aNwIPA+/xaliz7jt1Da3Ri99C+vSmGDBoMfzHY6OTsws5TfJ0DBw/G/eBgbtu0wgUdmK1j547cblzv2W7Pk1S/Tm307t0T7U3bwdikDuo1NIGJSW3UZfu1a9se73TvgqZNmqAOs9WuXZsnQaTadWiLbl27oEWrZkX5xibGMKlnwvYzRdcuHdG8dctiW11mq1sXbdm9dOncCa1aNi91zNrsmG3btUG3bl3Rqk0L1GbXVad2HdSpo9zGtG1bdO3RES3ZM6zN8p8c09jEBKat26AruxbhO6hdS3kd/Hwm9dCGPZ8e73Tj5cHY2Bj16tdDbXZ/Pbp1Q2gQuUPqQBLCEv0oCr37vPvUH0ijxvVYjSOG/XJnoee7PUrZWjRrhuysbAjvuQ4yG1jK1qp1K1Y7iGc1nQL06dO7lK1OnXqIYK4XUySYmQ0tZRNSNKt9FDLbqPEjS+Xr6RsgJT2NX6+1zbRStmq16iA4TFmgx40aV8pWo6YRvG4om0HHjrYoZXuLpVs3b3Db1JkzStmEdPO2D7d9MnvmUzZKTycDwwrwu6d8ZsSbRRLCIjSLnj13Fps3bMY6l9VwcV2L9a5r8Mtv+1nVNhv5+Xn4488/4eq6Hmtd12Gd62rs3rcPcoUC+cxvOfbnEbbPGrbPOrbNavy4n+2XlcOF5c+jf2Clqys2uG7A92ybvT/+hAxhTA9WYz554hzWrV2DtS7KY27bsYM30wq9xM+eOsu2d8UaVxf+uXX7VuTIBZcGOON2iZ1vFb/O75l95+7dSBcn2zp95hxWsDzhOoV72LFrF+IfK7ufC/co3IOQL+y7acd2xCcmcNslt3/4eVyYXTjmlu3bkZiqFLJ///2XXcd6dg+uWLdhPeYvWsRHtX/WH5eQ6prUxQLmKm3ashXOy5zhvGI1nB0d4eToBBd2r8JzEJ6Jk9NKrFy9ktmcWI1pFVxXsGfInseKta5Y4eQIZ5bn7MRs332HVavZM2T5q9e6wGkFy2d5zo7fsWM6Yg075gZ2zauYXXlMZhfOx/Z34cd0wQoXZmPnEfKF6xH2W+3iwvZby+5NeX3OwnGF/b5jx1yzlp9vxUp2fSzfcRnbl53TydGZX/tats9KZndk9+e0fDnbzwnrt25BnPg8iTeLJITljaDjEWAPLw/muo1iQqL3lLAIgVsri4m47xcgbl2O0PHvXVsov8JSDhBGVXNhNbzGjRo9JS5CEuIrG1jNJ0sMEBOEqiBhKQfcvH4To0ePglFlIxgYVOSpIkv6TFyM3jLCp599gohI6jhGqA4SlnJCcnIiTp84iwOH/sCRI3/xdPTIMfx+6DAO/HoIocGhKBQCUgShAkhYiCJ0dk7kwjxs/X4D7L74Ap/PtoXt5yx9Jn4+WWZpHlueN/cLzHdYAB8/f3Fn4lUgYSHKBfM+n8f7Gg0b+j6GDjV7Zho2zAxmZkMwfNj7uOOlbOYnXg0SFqJckCuTITc3BwqFDHL5s5Ngk8ly+RvgBdR89FqQsBAEoXJIWAidISk5Ge5Xb+G3vYfx94WzSBZ7QhPqh4SFkDyF+cDvBw9h9PvDMN7aAu8NHAgjIyP069cPvv4UhNUEJCyE5Nn/82/o3ac3zh47CgX7l5qeimXffss7AQqjxvkFhohbEuqChIWQNIHBwWjfvj12/rxXzFGSFP8IrVu35OIy9aOZkMuVw1YQ6oGEhZA0O3fv4eKxev0WHD5yDAcO/45DR47id7Y8oG9fbmvRuCGiI5TDVhDqgYSFkCwFBQWYMHYCKlasCKsJ42E/azZmzpiF2fOm4+PZH2PmrDmYNv1D2NvZIe5xjLgXoQ5IWAjJIpPJYGrajg8AddPjMtKzFEhLz0JyUhJSUpKRJctCZlYG2465QdQtRa2QsBCSRaFQoHv37tA3MMDFS5fE3GeTl09DUqoTEhZCsgiu0IhRI3gcZeGCRWLu05w5eQqhwdQypE5IWAhJs2nrJi4sdeua4MzxU2JuMXfv+sLezh5JScoR/Aj1QMJCSBo/H1/UqlWDi0s94wZY4eyIa56ecL/th52uW/HBsOG45kEvFKobEhZC0gjjFq9Y5QJ9PX0uLkIyqlYNhpWr8uXVa1aJWxLqhISFkDwKmQIHDh7EOIsxqFe3LqrXrI4h5iPx8/79FLTVECQshM6QK8tBSEgwAoMCkSk0MRMag4SFIAiVQ8JCEITKIWEhCELlkLAQBKFySFgIglA5JCwEQagY4H+3OPC6YdQ41gAAAABJRU5ErkJggg==)
The direction of magnetic force on the electron as shown in the diagram is along
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAADICAYAAAAtDs6kAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACeeSURBVHhe7Z0HfI3XG8clESW2xN4rqF2rRo3UCLUiCWJUVZW2kgiqtKVJrAS1a7dVLaqlNlVBESJBEpGQKUtk73Xvzfj9z3vuK6P8Ca5773vzfH2O+77nefc9+d3zPOe851QAQRCEiiFhIQhC5ZCwEAShckhYCIJQOSQsBEGoHBIWgiBUDgkLQRAqh4SFIAiVQ8JCEITKIWEhCELlkLAQBKFySFgIglA5JCwEQagcEhaCIFQOCQtBECqHhIVQO6ERofj7n79x7eo1XLt2DVfZp8+du8jKzhC3AOLi4uB2yQ2X/72My5evIDkuU7QQUoCEhVA7AXd9MGKYGQwrGqJq1ap4u1NHHNx/CNnZxeLxKOoRvly8CJUrV8a0qZOQGBUuWggpQMJCaASPW55o2qQxKlSogDHjxiAlLUW0FHP+0t9o09IUfvcC2FqBMpOQBCQshMb4YetuLizNmjWD521PMbeYrdu2YPbcueIaISVIWAiNERUTi95dunFx+XLxQjFXSVauDMOGjsDxoyfEnBcTHvEQYY8ei2uEJpGEsMjy8vAgMABuV9wR/iiK58UlJ/BPQtr8sGEzF5a2pu1x/76/mAv8eugw3jcfATkTmLKQmJqOsaNHYpKNDbJLBIEJzSAJYUlPzcCUyTYwqlYdixd+jd8PHkKvPj1w4kTZf80I7SQy5hHeeecdLi7Oa1x5XmFhIcyZqGzf8QNffxGF7N+WTXv5MapUqohfDx7muYTmkISwZKRkYMwHY3jBGTvMHC1bNuPLzZo1x9m/z7EtKLAnVYQ//81bt/Lvs0PnLnicEI/r166id+/evMm5LHh53UDz1s35MYTUrWcfhDwMFq2EJpCGsCRnwGKcBS80cz7+GNNmzCwqRC1atcLxs+fFLQkpEhEdzYVE+D63bt6M2TPmwPm7ZaL1+cjkckybOqWoPAhJT68C7G3tUFCYL25FqBtJCEtWZgYmWCiFZcmXC5GQnoW5n8/j6xUNK+Hn/T+JWxJSZdu2LahooI+GDU3QpUd3BAeWrcaxfdcuVKxoWEpYhFS9qhHOHT8pbkWoG0kIS0paMsaNH8sLzPz59jwvMz0FnzBxcXFZC0V2LgoKChDD/HXk5XE7IS0es++uj1hrsZ1nK+Y+n/uBAWjatEkpQSmZevXqhcTEWHFrQp1II3ibUuwKLbCzAwqUVdzc3AxW3S1Afp4c23/Ygv7vvge3f/7hNkJ67NqzG8bGxjjv9mLXNjNHBquJk54Sk/+mpUuXinsQ6kQywdsnwrJokT3yCkpH/C+4XUbN2jW5vWvLtrh27apoIaTEyRMnMG3qNKSlvri5OCgwDI0aKoP4z0tdu74j7kGoE8kJi4Pd08ISGhEHy8kzigpTqw5tcOXqFdFKSAGFTIFPP5mFPXvKFi8LvB+IZo1fLCydO78t7kGoE0kIS3JKMsaOU8ZY7OfbQia6QiVJTU3GpEnKqnHlSpVx5Bj1cdFantHF5O/TpzFixAg8jI4Qc55PUGAQmjctbmJu0bIVqlWrhiqVq6Bps+K4S9euXcQ9CHUikRhLelGN5ctFQozl2QHauPh4zJ47B3v37eXrmexX8FFMHCvI1OyoTRTmF+Kmpw+2bt8Jr7t+cGeu63j2w7F+7foyd2sLelAsLH3798eajZtgZGSE+vXrY9eO7eja5W1u696dXCFNIDlXaL7t065QSXJkyi7gijwFvnFch17v9ob7lYs8j9AeLKyU32fDxo1gbFIHFtaWCI8p+3s+grDUb9IAFQ0r4+K587jy7yXo6xugVu3auOt7D/t/2Q89PT106tRJ3INQJ5ITloUL7JH/HGF5wvFzJ2BQUVkdFgqXu/sV6uWtRXw0YwYMDSvCUP8t/n5PWHiIaCkb/n4P0LRBfSxZuoSvnzt7lgtJzTom8A0IZN91IaxtJqFd+3b8FQFCvUgmxjJu3DhljWWBHXILXtyFP+phGCaIfV+4uHTuDC+PG6KV0DShYRHYd/AXnDhxHDmZaWJu2fG97YP5Dg5ITU/l66dOnWI1Fn3UqF4dHuL3fC8oALM++QSyMr7ISKgOycRYxo8bzwXC/gWuUEniH8djgrUV369lwyY4d4H6uOgKSYnxCH/0SFwThUWosdSuA8873mIuEB70APnUaVLtSM8VekY/lucRxgrf51/Mxx8HhDde2bGyM/A4msbs0DVOnzpdJCxed3zEXEJTSC94O98W8v/TKvT/yMmTQcE+s7Iz4bDIAX379sVd/7tKI6ETHD91vNgVukEur6aRXIxlYYku/S9HIXbs/IkfQ0jd3umGoIAg0UZInb9O/VUUvPXy8RNzCU0hCWFJS0krirE8q0t/2ShkQuKPkaPMi8WlSzcE3iNx0QW4KyTUWGrVguetW2IuoSmk5wq9RPD2WTyMjMaYMR/wYzVo0Bi3PKkQ6gJFrUI1auCmx00xl9AUkhCWzJTMImGxdyhbc/PzuB8UjI9mzsKFC258PSklFQ9Dad4aKaMUFj3UqG7ChIVcIU0jCWFJSUkpirE4LLSD7DWFRUCeL4Rzgej4RMz4eCYG9O8HP18qkFJFEBZljKUmvLy9xFxCU0guxuJga4vCAqUoqILdu3bw4wrJbMgQ3PH1FS2ElDhy6gj09fRRs1YNeN56eo4iQr1ILsaycGHZuvSXFX//BxgyeEiRuAwe0A8hAfdFKyEVKMaiXUguxrLAQbXCIhDxOAojzIfy4/fpNwA+90hYpAbFWLQLycVY7GxVE2P5L/eDg7H4q0W4cvVfvh6XEIeYuBi+TGg/XFh4z9ta8PKmlj5NIwlhSU1JLY6xLHr9VqGn+E8F6FFMBMZajoHZUDNEhpZt4CFCsyiFRYix1HzmPNCEepFcjGW+vS3yXrJL/0vBROabb5bzcwnJ3Hw4YqKjRSOhrZSOsXiIuYSmkFyMZaG9HQpfqUt/2bl94w4G9FRO+ymkIYPNEMPcMUJ7OXnqJMVYtAjJuEJF7wq9cpf+lyPQPwC9erzLz9mrZy9Exygnoye0k6OnjhbHWO7cFnMJTSE5YXndLv0vg6fHTXw+bw4eBD7g65Hh4QiPDOPLhHZRFGOpXZMJC8VYNI3kXKGyjiCnavwfBOE9s2EYMWoEIiIooKttFMVYqlenGIsWILngrQMTlmdN//Gm+WrxIn5+IY2xHI2HIWWbW5hQD0ph0UONGhRj0QYk4wo9aW5eYGv7f6f/eJPcuXkHvXsqYy5cXCzGITKSai7agtIV0kPNWrXheZtiLJpGEsJSsoOcELxVdc/bsuJ7xxc9u/fh1zFx0mTEJSSIFkLTKIO3YozFm2IsmkZyMZYF8zUnLAKeXp5Y6bQcIeEP+Xrww1AkkcBonBOnTpSIsdDQlJpGcjEWO7s306X/VfC+7YHOXTpjAru2pMREMZfQBMUxFmMmLDSesaaRhLCUGjbhTXTpfwWyM7IxydqaX5OQJltPRUJSumgl1E3RKP1CjOXWHTGX0BSSi7E42NkyV0h147G8Mswbc7tyER3e7lAkLpMmTUN6OomLJlAOpq0vDvREMRZNI70Yi509CrXEFRJwv+leJC4zPp4OmZxm3dMEJaf/oBiL5pFcjGU+ExZ19bwtK/9cvoCly5YgMTGOr/vf80ZEGPXQVSelYyw0CqCmkVyMRWhuVmiZsJQcduGS20V0694Vk62nIyGWWovUhXL6DyYsterA81bxFKuaIDYxFtu2/IDlzo5wcXXB9+vXYr2rK9asc4Er+7x2/bq4pe4iCWEpOWGZnb12BG+fhUxWCCsrG36dFSrpY+aMDxHzkKZzVQelYiw+mo2xpGakYsPGbWjcuLGyLPwnmZq2wbbNW5Ckw2/MS84VWmCn2sG0VUshLl+9iLc7vl1UiGbP+RSpmZminXhTHD8txliE8VhuaseYt57Xr2G4+YiislAyGRgYwMrSGp7uujmjgOSExcHOHgXa5gr9hyvXrqB1q9b8er9e/g2ycnNFC/Eq5JWhhup23o0LS82aNeHv7y/map6srCw4r1iB+vXrlxKWJ6lZkxbYvHEt0lN168dHEsKSnpJe/K7QIu3pIPc8Ll6+gB3bNiIjJ4ev+965jZTUZL5MvBxxcY/x3bLvMGrMaFhaWmDa+ImYaDkBVhMmYMZ4a9hMmoT+/fvzeYUqVaoEc3Nz2NhMZttawZptbzV5EqZbTcZktr2VjQ0+tLCGlbUVJk+egunjLTFh8kRMtZ6MKRYTYMn2+9ByEju+JSYK2463guVEdo6JNuy8bFubZxzLygqThGNZsG3ZsiW7tsmsNmI1yQZTp0+F1cSJqF+v3lOi8iRVNtTD+NHj4H7jGnLlcvGupY3kYiwO9prt0v8q/HH4KBrWa4w5n86CLIdqLy9LZFgEurRp99QfpK6lLl274H5goHjX0kZyrpC9vWaGTXhV4uJj0Kd38TCX9rb2SKZOdC9FQlICHBwWYvCgoRhpNhajR47B+0OHYvRwC4wcOhajho1Fj149WY2lAvQNDNCrZz+MGjoeY8wtMHb4cJibfYARZqNh/v4YtjwGI8RP85J5pexPlkeXYdsSdnaescNHYPSIcXybUUPHYPxIS3wwajSaNm/Mr+9JOfhven/Y+7jw93nIdcRtlpywLF6kmWETXhV5ngIn/jqNxvVbFBWiL+w/R36hdMRR0whjHMsVcuTmyNgfXh4UcgVkMhlkuQq2roBClofjx45zV6hGbWNc9/TmeQp5HvLYdsI2cpkaEjtPnlzGzyskgaTEZKx0WoH6DeoWff8lU72GJli+ZBXSk7L49rqCZGIsJTvISc0VEjh59Czq128AQ/0KWOu4juVof5xISpw7e07ZKlSzBm7f0Y55hXz9vDHZZjIrt/qlxORJGspqXVf+vSxurVtIJsYydtxY/mUIrUJSFBaB3w8fxKZNa7mmKNiv8I3rN/AogqYWUQVCl/6iSeF9NNuEK7zWcfCXX9HJVNky+N/UsHFDrHB2RHxsvLiH7iHRGIt0f+0LeTfdQuzYsRUt2zTHvC/mIjktVWkkXhmhg5yyH4vmx7yNjo3Gxg3fY/GXDvjqqy/h6PgNli79CkuWfIlly77GRbeL4pYvRpo/oRIUFm0ZNuF1SEhKQv/+ymEuDQz0mVjOQ2ICNUW/DqWGTbit2WET8vLyUFAUB3wiDcoflGch5MZER+DKdXd43LmDW35euHnHBz73/JGrkLMN8hEU9ADXvXxww9sDl29cQXScdtd2pCcs2jJswmuQzdygEydOoGHDRvyeKlUyxDfLv0WeTLcCeOpEeAlR6QoZw8tbWgM9CcLi5++HWR9/DGMTYzRoXB0NGjTALz/9XCRQfx0/ia6dOqJxU2N89NFc3PO9xwVHW5FcjEXbhk14HY4eOYy6dU3wVkUj/LzvJ5ZDAd1XRfl2szBsQjV43JDmS36JyQmY7zCfl/MKehVYDab4PqKjo9GteydWu52vjM3kC2Xl2TUgbUByNRZtHDbhdTjvdh4HDh5FYV4hZNkK/HvhKm9OJV4OKddYSqKQKTDOchIv66PHjuZ5MuZaOS53xKdz5kgm4Cu94K2tFg6boAJyc3OwZs1K1KxeCwu//g5yCXUC1AZOnTzJy0f1GjXh6SXt6T98AwLQqGkjVgPTwzbXDfhp926MGWSGqEfSmeZXejGWhdIP3j6Lu3d90Kx5E36PQvp2+XKk5dBodGXl+JnjqFixIqpWr4GbOjDm7eZtO5VlgblEpt06wOuWtIbblFyMxcHBVid/zYWepD/s+QkmJiZF4rLe9QfRSryI0JBobP9+N/bu2oqYBOn3D5HnF2LkqA94OejeqwfiJNZqKAlhKdnzdoGtnaS69L8se/b9ghrV3kIDoxr45eB+MZcob8jlcthMsUH1mtV5uf/sswUsT/mmvBSg4K2WITh5+37ag6O/HeLrGWmJcLt0EXGPad6i8kMhHJ2cMHXqVOw78DuMjU1QpUpFbNm6WYvbgUojSWGRapf+lyUjKwNLv16KRk2a4Fvn5ciQ0ZAL5YEjR/7EZMsJCBVn23T8ZjEv+02bNoG7xzWep+1IJsbyZDwWqXfpLyuCdN4NDECbuspxU2tUrwzHNRuQkUFDLugywf53MX6CNf69Ufy+U3h0FMzMBvNyMGrUCMTFa38MSTIxFm2bCfFNU8hqZcKr97t27mJV4Tr83qtUMMC2HXuQX6j791/eEIaA8Lh1C/369sG7/QbgcULxIOzZsnxs2CK2ErFkN+czPAi8D7nQ30lLi4LkXCGhS3+BxLv0vwx5TER2/LgPVavXRJNmjXDJzU20ELpEAquFLHd2xtAh78NyrBVOHDumNBTm4Y6fDxwcFmH86PEwHzoGVhbWWLL4SwT4BZCwvA6lhUUYTLt8/WILd7v/8J9wv3aJr6enZeD82b+p5qJDFBTkIyc7C3KZnH3mIisrW7QUsvV0ZKQl8B7Z6TIFMnNlSEtNQ64WjzYnuRiLlMdjUQWpqamYNm0KKr9VCRs3fy/mEoR2IQlhKTkTor2tHeTlrMZSkkuX/0HVqkb8WQhvRa9dtxY5eboxsjuhO0jPFSonwdv/R2ZaCtavXw9DQ0P+PAwNDXDgwO+ilSC0A0kIS2ZKZnE/lvm2UOhwz9uyUFhYiNUurjCsXAXt27fHtSvuooUgtANJCEtKSkpRjGWBnW536X8Zdu/diytXrvDlqKhonDxzDtlZ1M+F0DySi7Hoepf+V+FhWDisbaxgYlwbmzZtgJwGjCI0jORiLCQsT/PPmTOoUqUafz7Gdepg9487oZDTMJeE5pBcjMV+fvkO3j6LHFkOVn2/CZUqK1uLhFajs2dPilaCUD+Si7EIrULl4V2hl0UYdHnl6tUwrGSIAYPeQ2BgkGghCPUjCWFJTUktirEssLVFYTnq0v8y5MlzceTIYQQ/CObrQcGhOHvhHCjUTagbycVYynvP27ISGRGJ3v0HshpMRez7dZ9kxvEgdAPJxVhIWMrGgQP7+PMSUlUjI/y072fkU0CXUBOScYWKxmOxK99d+stKRmo6ln2zlPfMFZ6bMJbu+Yv0ZjShHiQnLOW9S//LoJDLsezrJdA30If5qA9wPyxctBDEm0VyrtB8e+rS/zLIsnLxy88/ISxEGdC97e2N0+fPSmpgZkJ6SC54q+zST5N5vQoentfRvWt3NGncGEcOHxBzCUL1SMYVoi79r8+ve/fAgD1D4TnWr18fh4/+iXxqLyLeAJIQlpId5ObbkrC8Kqnpafjq68UwMNDnz7JRg6a46SX9WQMJ7UMtwiKT5WLJV19i9Jhx8PJ5+YKclZoFKwsr/sewcJEDZDQk4yuTLZfDwW4BDA0qYdq0GUiKL55hj+SaUBVqEZZ7fr546623uDBMnjZVzC07KUkpeN/MjO8/c9ZMVn0nXoe09CwcOXocyWlJfN3Twx3HTx7nywShCtQiLI9jYjFi2Ado0aI5Dhz4TcwtO4ePHEYNY+Xbu40aNIevxz3RQrwuV93c0bpFW9SsVRNHjv8l5hLE66G2GEtcQgLCwsLEtbITFRmF/u/156LyJFlNtIJCQeO8qoI1q52LnmvjJk1w9Phx5Ajz1RDEa6DVwVvB5fn6m29QQa9YVISkr6+HnTu2KTciXoukxGTM+eRz9kyVz7ZD2w7wf0BvRhOvh1qFRQi55heWPUR46col1GtQr5SoPEkNGzRAwD1yiVRBtiwX9rafoW6l6vhi3udITIwTLRTOJV4NtQhLrkKBazc9YP/FfJw+dlTMfT4xjx9hyHDzZ4rKkzSRuUTpaTTGqypITknFyaN/ISUjg6//feYMzridpSEXiFfijQtLaGgwpn8yC42bNeFisHzZMtHyfH7e/yP09PSeEpOSSWhpOn6UWjNUxZP6ydEDf6JpkwZo2a4tzvx9VswliLLzxoUlLjER6zevR5UqlbgYODk5iZbns3LliqeE5L9JX18fu3b9IO5BqIKCwgIm/suLnnFb05a4dNmNubHkFhFlRy2uUH5BHoYPV/ZDcXZ2FnOfz4oVpYXFwED5+n/lypWL8/X1sGvvTnEPQlXExyRg5oyZRc+5U8dOeBwbL1oJ4sWoRVgK8vNhYzOVF9KyCIvw27huTXEzaKcundkvZ1u+3LVrV7Rq2Yov6+lVwJ49u5Q7ESolPSMVk6ZP5jMuOjo7IidL+TY01VuIsqAWYVEoFJgyZQoXg7K4QkLA0HXlRr590ybNcOC3Q6zGM5yv29hMx+Hf/4BRlcqoyNb37dqt3IlQOXGxMTh96hQUYr+WY6eP4dKVq3yZIJ6HWoQlLy8PkyZZc2Eoqyu02nEtD95u+GE7EpLiMHjwIL7/+AnWyGce/1eLF/D17T/uEPcg3iT79v0Io6pGaNmyGa5euiTmEsSzUVuNxcZmcpmFJa+gAKvWOGGM+RjIs7OQkByHnr168P3HjB3PA4xZ2ZkYMswM329YL+5FvCkK2fOe98Vc/vyF9Hbnjjh34QLkNOAW8X9QuytUVmH52+0MvG/f5uuPHkdhwHsDi4QlRyHj+dfdr+Mft/Pk96uB+MdxmD7loyJxGTzIDPEJFNAlno3aXKFpU6eVWVgEociS5SpXGIKwvNv33SJhyZYrhUVAIVOwX1SSFnWQHJeMiRMnoV5dE2z9YSOrOSqfu/A/fQNESdQiLAKjJ4zhwrBq1Uoxp+xEx0Siz7u9i4WlhOgQ6uVxxGNc+OcC8vPlzE2V47f9++F+/bpoJQglb1xYEhOTcOzYMdSvXYcLw8CB/XHxwj/IyckWt3gxkZER6N//PaWwjLPggxURmkWoKbqsWo0a1WugT9dOuH3jlmghCDUIy8PQIOzatxeb1m3E+k2b4LppI348uB+xiQniFi9GEJZ+/QaINZZxrMZCI8xrmszMTEz/cDr/ToTUrUs33L7lRW4pwVGbK/RfXqb4RUUJNZaSwkKukDYQFROFsRZji8RlmNn7yMqg2RYJDQrLy6B0hajGoo3ExMZgmLk5H/X/wKFfxVyivCMZYSl2hYTgLQmLNhH8MATXPJQ9cuUyOXb9uBvXb1BAtzxDNRZCZQgDeS13/o5/Tz2794D3bWEgLoq5lEckISwUY5EGOdm5GDl8FP+ehDRg0EDccndHAc1cWe6QoCtENRatpbAQ0RHR+GC0ss+SkGZ/OguZOZniBkR5gWIshMoJCwvHyLHmaNmiDc6eOC/mEuUJcoWIN0JIaChueio7zcXHJ2Drpg3w8fbm64TuQ8JCvFGS01Lx6dzZMDQ0wBCzgQgNDxUthC5DMRbijRIbEwczcSwdIQ0c2A+BIcGildBVSFiIN05g8H30G9CvSFymfzgN+YXUUqTLkCtEqIX79++hZ893YGraFjc8rom5hK5CwkKojcDgQPgFBPDl2MQ4rFu/lq3TbJa6CLlChNpJS02FjTDwl14FDBs2HA8CaK5oXYOEhVA78THxeE+sgQrJynIk7vn5i1ZCFyBXiNAIfn4+7MdCOdyokJwdHUULoQtIpsZSWlioxqIL+Nz2Rt++/TCg7xDcvnNHzCV0AQm6QtSlX5cIDg1CaFAYX37g74OljisQGBHB1wnpQjEWQisIjnyE9wYP4d/xKItRiE1KFS2EFKEYC6EV+N7zR8dOnfl3LCTLiVaIiokVrYTUoBoLoTV4eXmiQ4cOReLitNpVtBBSQ5IxlhwSFp3F3d0dnTt2xOBh5ggLD+d5chqFTnJIRljIFSo/+Pn54dGjR8rle7exapUzwqKi+TohDSjGQmgtYYEhGNSvD//e586ehazkZNFCaDsUYyG0Ft+7d9GySSv+veuxtHTJYiSlkbhIARIWQmvJKwROuv2DJs1b8u/esFIlHPj1FxQWUMxF2yFXiNB6Dv3xO+rWrYtevXrD19dXzFVON0JoJyQshNYjCMgFt0t4EBDI1+8/8McvB39BfkEeXye0D3KFCElxPzAA7w0aAH19PaxwdBZzCW2DhIWQFIf/OIbKlarwsmBgYICNG7+HgtVcCinsolWQK0RIiry8AmzctglVqirFRUhbdu2ieIuWIZkaS2lhoRpLeUaonGzYtoXVWCqgajUj7Pn5Z6WB0Bok6ArRsAmEkrWbN2Dv7p18OTs7G57XvZCcns7XCc1CMRZC8uRk5sDZcSVat26N77etR7ZCJloITUExFkLy+N+7h6YNm/HyUb9ebWzdvB3yfDmzUERXU1CNhZA8MlYeXF3Wo5pRDV5GatSshi2bNyNPQeVEU1CMhdAJ8gvysWXDFlTSN+TlZOmSJVCwPEIzSEZYqFWIeBHyPBk2rFuJb79egsTYeJ5XSA3RGoFiLIROwaMqYm+5sLBA2EybgjOXaEpXdUMxFkIniY2Jw+DBg3iZad7GFDduuIsWQh2QsBA6SXxsAiZYTuRlRkjt27fBNQ8P0Uq8acgVKkfI8uXIyc3hYwZnZWXxz+zcbKSlpyI9K1PnGmcjH8dh4mSbInHp0q0LgmgSerVAwlIeyAeO/3UCs+Z+AksrS0yZOh2TJ0+F9cSJGDd+Ar6wd8Ctu9462esjLjEZFlbjedmxtLZgZSlStBBvEnKFdJxHETFw+nYJmjaoV/TLXTK1b98Ov/32K3JyssQ9dI/oR9FYv34dwsNDxRziTSM5YRlvYUn9KcvIsePHMGiIMoD531S5cmV8+ulMPI6m0e8J1SM5V8hsiBmCg4IQGfUQjyNjUaBQti7GMn9a+EWKjAzjn1Exj6FQyIGCfDyKLW17xP6Y8uTKzlPx8bGlbDExkcjLEw7KbHHxRbaICCE9RJ4ijwtbYmJiqf2ioyOgyM9HXmEBklOT8PBhiNL2UHm+XOFahP2SE/EwLFg8ZijCo6KRJWPnY0eNT0pixwpDJD8XOza7byEGIpCcVHwtwmdUVDjvcSqQxKr7D0VbZGQ4bt/0wcIF81HHuM5TgiKk2m9Vg52dLXx87+J+wH34+t2Ft7c37vr5ITQkFBHhDxEQ8IDZfXi+kITl0LAgRLPzPgi6Xyrf964vQoJC+DUFBgQV2YR8X3aOkEClLTgouNQxvX18EBLKjhnN9gt+wNbZ8bx94MPyBXtwYDCi2P0E3Q9m68o85TF9EfSAHZPtFxIShDt37rDjsnxm8/a+g6CQB/w6hc+iffx84H8/hNXMaNQ5dSCRGks4+vbtz/8oqlWtjB7deqBdhzawHjcRqUmZkMtyMWf2bLQ1bYOOHTvi7bdNYWE9ERkZachnymNnOw+mzNapU0f+aWlpieSUFHbkQsydOwdt27Yqso0ePRKxsY+ZrYD9cdrDtF1bZnsb7dqZYsSIYVxQhDFBFi9dzPKUNlPTthjCagaZGalMXArw7QondsyWzNYJbdu0ZsccwwTkIb+XpUuWok3rFvx87dh+o0aNwIPA+/xaliz7jt1Da3Ri99C+vSmGDBoMfzHY6OTsws5TfJ0DBw/G/eBgbtu0wgUdmK1j547cblzv2W7Pk1S/Tm307t0T7U3bwdikDuo1NIGJSW3UZfu1a9se73TvgqZNmqAOs9WuXZsnQaTadWiLbl27oEWrZkX5xibGMKlnwvYzRdcuHdG8dctiW11mq1sXbdm9dOncCa1aNi91zNrsmG3btUG3bl3Rqk0L1GbXVad2HdSpo9zGtG1bdO3RES3ZM6zN8p8c09jEBKat26AruxbhO6hdS3kd/Hwm9dCGPZ8e73Tj5cHY2Bj16tdDbXZ/Pbp1Q2gQuUPqQBLCEv0oCr37vPvUH0ijxvVYjSOG/XJnoee7PUrZWjRrhuysbAjvuQ4yG1jK1qp1K1Y7iGc1nQL06dO7lK1OnXqIYK4XUySYmQ0tZRNSNKt9FDLbqPEjS+Xr6RsgJT2NX6+1zbRStmq16iA4TFmgx40aV8pWo6YRvG4om0HHjrYoZXuLpVs3b3Db1JkzStmEdPO2D7d9MnvmUzZKTycDwwrwu6d8ZsSbRRLCIjSLnj13Fps3bMY6l9VwcV2L9a5r8Mtv+1nVNhv5+Xn4488/4eq6Hmtd12Gd62rs3rcPcoUC+cxvOfbnEbbPGrbPOrbNavy4n+2XlcOF5c+jf2Clqys2uG7A92ybvT/+hAxhTA9WYz554hzWrV2DtS7KY27bsYM30wq9xM+eOsu2d8UaVxf+uXX7VuTIBZcGOON2iZ1vFb/O75l95+7dSBcn2zp95hxWsDzhOoV72LFrF+IfK7ufC/co3IOQL+y7acd2xCcmcNslt3/4eVyYXTjmlu3bkZiqFLJ///2XXcd6dg+uWLdhPeYvWsRHtX/WH5eQ6prUxQLmKm3ashXOy5zhvGI1nB0d4eToBBd2r8JzEJ6Jk9NKrFy9ktmcWI1pFVxXsGfInseKta5Y4eQIZ5bn7MRs332HVavZM2T5q9e6wGkFy2d5zo7fsWM6Yg075gZ2zauYXXlMZhfOx/Z34cd0wQoXZmPnEfKF6xH2W+3iwvZby+5NeX3OwnGF/b5jx1yzlp9vxUp2fSzfcRnbl53TydGZX/tats9KZndk9+e0fDnbzwnrt25BnPg8iTeLJITljaDjEWAPLw/muo1iQqL3lLAIgVsri4m47xcgbl2O0PHvXVsov8JSDhBGVXNhNbzGjRo9JS5CEuIrG1jNJ0sMEBOEqiBhKQfcvH4To0ePglFlIxgYVOSpIkv6TFyM3jLCp599gohI6jhGqA4SlnJCcnIiTp84iwOH/sCRI3/xdPTIMfx+6DAO/HoIocGhKBQCUgShAkhYiCJ0dk7kwjxs/X4D7L74Ap/PtoXt5yx9Jn4+WWZpHlueN/cLzHdYAB8/f3Fn4lUgYSHKBfM+n8f7Gg0b+j6GDjV7Zho2zAxmZkMwfNj7uOOlbOYnXg0SFqJckCuTITc3BwqFDHL5s5Ngk8ly+RvgBdR89FqQsBAEoXJIWAidISk5Ge5Xb+G3vYfx94WzSBZ7QhPqh4SFkDyF+cDvBw9h9PvDMN7aAu8NHAgjIyP069cPvv4UhNUEJCyE5Nn/82/o3ac3zh47CgX7l5qeimXffss7AQqjxvkFhohbEuqChIWQNIHBwWjfvj12/rxXzFGSFP8IrVu35OIy9aOZkMuVw1YQ6oGEhZA0O3fv4eKxev0WHD5yDAcO/45DR47id7Y8oG9fbmvRuCGiI5TDVhDqgYSFkCwFBQWYMHYCKlasCKsJ42E/azZmzpiF2fOm4+PZH2PmrDmYNv1D2NvZIe5xjLgXoQ5IWAjJIpPJYGrajg8AddPjMtKzFEhLz0JyUhJSUpKRJctCZlYG2465QdQtRa2QsBCSRaFQoHv37tA3MMDFS5fE3GeTl09DUqoTEhZCsgiu0IhRI3gcZeGCRWLu05w5eQqhwdQypE5IWAhJs2nrJi4sdeua4MzxU2JuMXfv+sLezh5JScoR/Aj1QMJCSBo/H1/UqlWDi0s94wZY4eyIa56ecL/th52uW/HBsOG45kEvFKobEhZC0gjjFq9Y5QJ9PX0uLkIyqlYNhpWr8uXVa1aJWxLqhISFkDwKmQIHDh7EOIsxqFe3LqrXrI4h5iPx8/79FLTVECQshM6QK8tBSEgwAoMCkSk0MRMag4SFIAiVQ8JCEITKIWEhCELlkLAQBKFySFgIglA5JCwEQagY4H+3OPC6YdQ41gAAAABJRU5ErkJggg==)
Physics-General