Physics-
General
Easy
Question
The respective angles of the flint and crown glass prisms are
and A. They are to be used for dispersion without deviation, then the ratio of their angles
will be
![negative fraction numerator left parenthesis mu subscript y end subscript minus 1 right parenthesis over denominator left parenthesis mu subscript y end subscript ' minus 1 right parenthesis end fraction](data:image/png;base64,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)
- 1 ) '/>
![fraction numerator left parenthesis mu subscript y end subscript ' minus 1 right parenthesis over denominator left parenthesis mu subscript y end subscript minus 1 right parenthesis end fraction](data:image/png;base64,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)
- 1 ) ( μ y - 1 ) '/>
![left parenthesis mu subscript y end subscript ' minus 1 right parenthesis](data:image/png;base64,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)
- 1 ) '/>
The correct answer is: ![negative fraction numerator left parenthesis mu subscript y end subscript minus 1 right parenthesis over denominator left parenthesis mu subscript y end subscript ´ minus 1 right parenthesis end fraction](data:image/png;base64,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)
Since ![A left parenthesis mu subscript y end subscript minus 1 right parenthesis plus A to the power of ´ end exponent left parenthesis mu subscript y ´ end subscript minus 1 right parenthesis equals 0 rightwards double arrow fraction numerator A to the power of ´ end exponent over denominator A end fraction equals negative open parentheses fraction numerator mu subscript y end subscript minus 1 over denominator mu subscript y ´ end subscript minus 1 end fraction close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAV0AAAAxCAYAAAB5yXoiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAeOiuv/QAABnFJREFUeNrtnVGEXVcUhreIMWKUEVUVfavKQ1XIQ42IyEuMiKoSNQ9VYxhRUfMwVFVUVbj6VKPKqBFVo1TloSLCqIqoChUVVVEq+tCHMURVRYxwu1fOCtftPufuvc/Z++y17v+xRPbcc2fO2vuue846a/3bGAAASMc71j6bwvPe4HMHAIBsnLT2i7WDU3judM53rZ3CMgBAHq9a+4P/lcIha/etHZvieXuZfTCHJQyAHI5a27H2vLC/+2Nrnyvw/0vWLvEVewwb7AsAAEjGs9b+tnZEwbl8ZW3V2jDyePqy/Id9AgAASfiAg5Umhi2O3eKrZQAASMJvpnqIFsOH1t4LGJcQdE9Yu4dlAUAZrCk7H8qB7rU4/htrrweMSwi6xK6p8vMAgB5509q+0VVStWxtu8Xxvxt3LrhuXErQ3WbfAAB6Yt5UdZw7PV/Bdc2X1i5EHnvA2kPH+MGacd9gOclyBN0V9g0AoCc2rS1Ze9vo6ti6Zu1s5LFUh/yDY3yhZlzSle6itetY9gD0wwIHJ+I5UzU+aIHyubHlUUs1V4N0W35FeNCdM+1y3QCASOhW+WdrL4yM3TF6HrI85DRBDNRI8O7Y2GumqnNdER5061InoAAktnwCf6j0aX1s7LLRI47SJjhdtXbD2qypqiDo6pZqXL8z/09Z/GmqvPg4PyX6Aht28B77WP7lIbXlE/jP7x3H+CkOLNMedB+YKnf7iP89PTJ+aOy1lIZ4Y2yM6ngvJTifmAdvqQI3ACCAW6b+CbqW0rHYwDJjqtZhX6jcblTb4UVrt018akNCiuIJdEs0ELo4BgJv6ST7W9tchEL9+582/PxrE//UX0NgOcvpBV/obvDXkf/ftHZc8V3AE14xVf5EMj/yeUhAg7+1zEUoFCCoJrdJ4m9lQlDWHnSpdG4j8BhqmJjnL+zLWnyzNuFDUrpW5iRZtuN8y5eLNi2fEvxd6lw8w7eit9k2eSwX1MJ6bsJrjnAQmdagG8MWf6YoTz6rwTdNLYrHOAiUjo8s261MtyVtWj6l+LvUufjeVKVHTznHY0B20D1vqoduJzX4ZlKL4ifWLipZCFQXOEi8oNq2fErzd465CPlgum5b6VZ+CTFSdNBdNbKE0ht9M6lF8UbNt4tEWbaFgKue2AXVtuVTmr9zzIUv31o74xg/zT8LZT1zagJB1w01l1Cqak6Db3xaFKlDZMYxLlGWbYbPJ9WC6qLlU5q/U8xFrHDJgxrf0dhuxN9PAt1UmH+i8A93FyIvpV/pqvhC8m1RfFzzplJl2fYTLaiuWj6l+TvHXLT1XdPvGnoaPTE/gFiCoNvGN74tiq6FLFmWbT/R7++q5TOXv0ueixRB91GL993ic9lu6bM2VuLV8rCD95VsQWs/pEXRdbsrVZYtVXqhy5bPHP7OpfmQO72wW5NemG1IL/h+wAaFXukivSDkSjekRXHHkdOSKsuW6kFaly2fqf2dU/Ohjwdpi47xMybuQZqEnC7SCwJ8E9qi6CphkirLdpHPp8sF1XXLpzR/55gLX0gU5QvH+BUTVzJG6aI5xA8E3Ta+iWlRdBXrS5VlCynI91lQKVo+pfk7x1yEQOmWNb67mOGr1ZuIAQi6ffkmtkWRPrCjvfISZdlStJ6mavmU4O/S5uIp8/yFRL6ih4ybuFpF0JXom1EBFqmybFIFbzTK4GkWvAlB+pbsmoPuJP2QLL6hXT8HRqYsG+UOV4VNumR/a5uLFGjYkl1z0PXRD8nmm2mQZSsJ+FsfWrZkn4b0wlCqb6TJskkH/i4bLVuyhwYWbfohRQddabJs0oG/y0XTluyPA1+vTT+kid43ppQmyyYd+LtMtG3JHroFu0b9kLp57nULdomybJKBv8tF25bsfxl3TbgLrfohLg5b28NyB6BfNG7JTmmSRc/XatQPqYMqjq5jyQPQLxq3ZKfOyGXP12rUD6lj1fSvQQPAVKN1S/a3TFXP6oNG/ZCm+VzGsgegHzRvyU5dW747cmjUD6ljz8h9OAqAeLRvyU5fKAser9OmH1IHndc9LHsAQCrW+Yq1CY36IXVQuuV9LAsAQCoOc0BtqrPVph9SB5Vr/ss+AQCAZFD9cVM787Toh5CA/kdYDgCA1FBOlmpmu5TrlKYfQpsP3DdoSgIAZIL2kaNOyK7qjSXph1DO+q6B1gkAIDNdan5I0g+h1MoFTD8AQCpq9EP+A9yz4L/WBB/eAAACiHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5BPC9taT48bW8+KDwvbW8+PG1zdWI+PG1pPiYjeDNCQzs8L21pPjxtaT55PC9taT48L21zdWI+PG1vPi08L21vPjxtbj4xPC9tbj48bW8+KTwvbW8+PG1vPis8L21vPjxtc3VwPjxtaT5BPC9taT48bWk+JiN4QjQ7PC9taT48L21zdXA+PG1vPig8L21vPjxtc3ViPjxtaT4mI3gzQkM7PC9taT48bXJvdz48bWk+eTwvbWk+PG1pPiYjeEI0OzwvbWk+PC9tcm93PjwvbXN1Yj48bW8+LTwvbW8+PG1uPjE8L21uPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1uPjA8L21uPjxtbz4mI3gyMUQyOzwvbW8+PG1mcmFjPjxtc3VwPjxtaT5BPC9taT48bWk+JiN4QjQ7PC9taT48L21zdXA+PG1pPkE8L21pPjwvbWZyYWM+PG1vPj08L21vPjxtbz4tPC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bWZyYWM+PG1yb3c+PG1zdWI+PG1pPiYjeDNCQzs8L21pPjxtaT55PC9taT48L21zdWI+PG1vPi08L21vPjxtbj4xPC9tbj48L21yb3c+PG1yb3c+PG1zdWI+PG1pPiYjeDNCQzs8L21pPjxtcm93PjxtaT55PC9taT48bWk+JiN4QjQ7PC9taT48L21yb3c+PC9tc3ViPjxtbz4tPC9tbz48bW4+MTwvbW4+PC9tcm93PjwvbWZyYWM+PC9tZmVuY2VkPjwvbWF0aD5YAG1UAAAAAElFTkSuQmCC)
Related Questions to study
physics-
The two lines A and B shown in figure are the agraphs of the de Broglie wavelength l as function of
(V is the accelerating potential) for two particles having the same charge ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487038/1/937203/Picture70.png)
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Which of the two represents the particle of heavier mass ?
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In a photoelectric experiment anode potential is plotted against plate current
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From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure. Which of the following statements
is/are correct?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL8AAACnCAMAAAB3sX3CAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL3UExURf///+7u7tjY2NLS0ufn5/Dw8Nzc3NbW1unp6a6urpCQkM/Pz/j4+J2dnTU1NUFBQW5uboiIiKqqqtTU1P7+/uDg4HZ2dg8PDwAAACUlJVxcXIuLi6mpqcLCwuLi4v39/ebm5oODgx0dHQMDAwQEBDIyMnBwcKSkpMbGxurq6vn5+YSEhCIiIggICBERERUVFTQ0NHx8fNDQ0Ovr65qamioqKjg4OKurq/Ly8pycnCsrKyEhIYCAgMjIyOXl5ZubmykpKQEBAQkJCWNjY6CgoDAwMDo6OiQkJD8/P5eXl9ra2qysrC4uLigoKI2NjS0tLRISElFRUbGxsa2trScnJ8zMzNHR0R4eHhYWFmxsbMfHx/Hx8ff397S0tMPDw05OTh8fH/v7+/z8/Pb29t7e3g0NDTk5OZKSkoeHhzMzM6Wlpb+/v2pqahwcHGRkZLq6uqioqFVVVRMTE4WFhRAQEDs7O4qKihgYGE1NTcDAwPPz88vLyxsbG2VlZbi4uFRUVH19fUJCQkRERO/v75GRkTExMWJiYnFxcX9/f3h4eI6Ojs3NzU9PTxcXF4yMjPX19WBgYG1tbTc3N2hoaOjo6CMjI3R0dHp6evr6+nNzc3V1dRoaGmtra/T09NXV1bCwsFJSUrW1tT09PaOjo9PT04mJiezs7O3t7Y+Pj15eXr6+vj4+PkpKSp6ent3d3ba2tnd3d8TExCYmJru7u1dXV2lpacrKyre3t7y8vN/f32dnZ1lZWS8vL5aWlkZGRjY2NpiYmK+vr5+fn1hYWLKysqenp0lJSUNDQ4GBgcHBwUVFRWZmZnJycl1dXYKCgl9fX5SUlLm5uWFhYZmZmdfX129vb4aGhn5+fuHh4cXFxZWVleTk5LOzs6GhoZOTk3l5eRQUFBkZGdvb2w4ODgICAqampr29vQcHB0hISOPj49nZ2cnJyTw8PAoKCnt7ewwMDExMTEBAQKKios7OzlpaWktLS1BQUFtbW1ZWVkdHR1NTUwUFBQAAACrPgl0AAAD9dFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wD2TzQDAAAACXBIWXMAABcRAAAXEQHKJvM/AAAGPUlEQVR4Xu2dzZHkLAyGrRDg5CAosiEIjqRAQBRVhKEjCX3Cxn/dPT12z1ZZ+qqfwyyzlxXyi5D42+HLlxVIDnpTJJCSaPu/fPn/oJXrLZlUH1Hp1H+TB+RxHE1QugjtAyhLPRhHj9QFiYEdlJk6MFprssTBALV3gD6C7n8nCz13wCihmc3yBVBsHNKe9B+NV1J7QBIyRXkbtdDksnjjhoTGYhHZAyiZtAMuUhQVOoons0HH0SuhIppwNAxC7b+IxKG1KHMq6+hgaTbrv4ik0jAQnFfTQFbGRpmxtOOyNUGyiKDQMGjTglgSzQZR9GygDM0GUpMi+gCoHCVFWepAVkgDuA0DSZn1zteI7Sdob70UEZWwDdiyJEJpmg3mNm9cRlwz6K01lNxqg/4LXyDkpMOSvPncGwSISIpSrJQ69EoevJr+7ECNNvLuANSWMWg/2+/iQxadguEtIVBtDc51K8sqpI5D5pNxyi3QOz/ZD/VhwBbkHkRT9JjzopLpY2wUrNxnsWY/5tD9P82+Kxorc++TyUipDpTZ/6D3+iHze4sxNH5JIsXMft+NX+qLiDUJHcjlxc/2O5oMZqiU2X0KxrSQDxlnoW/zVxVifhsAzdd9oMaePzwGUsa4ELYEdM7fnuYB1uiw1Squ5c+yzD8SsKVEYs0n4et6mMSEkdDL3RUjIPSpQCYpi9zSXhBuvsuiFz/dVMtIBQr3WvE9JbMvtt4hodh6A5kvWfs6y13yb+azXyd5RzO/N0VC6b5k7yu51UpDtvfTcclNGg8rhtKQ733JKU/Kws0XXq3caX4qfzy7fHOtqI87nVcBqhXvnLUg2D/9++T9Wyfdau0fdkduL3UhjH/x/83iGYZsR/Ox/9vO1r3mpzh+7n8Sz83mA7n/Y/8zKLZSu/1hPvM/1PvNx3Z35TP/c9gaKtPlG/ORiNX9BwtdaOZ/dHULMoNSt07mj+b6ig2Q93vzPiD70AR03f+ORbUClHhGg95etZ9PrZhMSNOxiyswqlaKodz54t1X4GM+oL08DB3yqRWTv2z/fEqPCcWGi8ZQus/HfLL/Yul4d7F1BLAfVjsJOPxTqfyvKd5cEgO3I7R6DBfsub9aeaReqtzZmU/yPy8fhoc4i/GnHcrQ/EGN0w2bM7DcV8ynoz+DUvcZCP2qxK+0UpfX0G0UE88ZxfQQZx53N4TeQOk+R/MHPBf9E4dS9wUQTx1vpIyN575iMWeiJ9uNOcjjiejJqlo5AOGE/BOrauUAmPirabyKrSNufWvF/fRWQ2F8iDPlsWcEBXeXDvaQ93uLISn2lQdA1C9lwvu+olvk33KD8jwTwHT9gy/Fdvm3azbJP1VWhffDB5AX+bTNd3iSCvcjtG5ZeYDpmtzDZVH+9xWL7fIvPmhd8bAezrLYOqKXPd9qfAgh7pfQOZa6D2wLbyVm50re+V+A95v8+/CE2MbvTv8irpxVG3prtn+LP4lnrfiAWqL/MIQW/+MSLbkWW0cgbOvO7Z73Ov/KML8lD73VtLPlP1LOoKpV/kQJyzXFm8/hnQcPC2/Lo/ByDnG+XHmgfFmI+c7s5LPA/nmSDUXygTS/ebkg4H2PlTB6lRt1fTm7MNqU/g3w1gdEDNEv75dTqVu552wrzmDXDiULPlP0IfEM6mEn+ygvRoDaLVwll0Odnipxx6SZ71wAcVk5mQAd5uq37p+nciQvpu9tJXOM/jXMyVvaBVCgzriWmTLEbbkn0a5b9mbZHpmbzglgf4mFFyT/nXz2G3OufwhifkmMZR2Wot3kQ7Xili/vqjDl6cf0EdhR7LbrOL/YtrIdhMue4idX+1f5gzo+UZt8D6GAlia4sH8BkAuQV/lQsXUwv69ltQYaRRnG8gIRJ1xczmw814qwJkHZQ9MPQ/ur7ZvWr2rFtUe51ZcPMzIPapf/k3iIbZ99motZxs8u/9fpzdqnltANHHdOnZ+O/Lw2f3fOQWGCwDB8zisPP1x6IvsXTTmMkWMCOp3Z+HFbdLd2WF6MDwYEip5k/ivvk/952rwj+QAl/7g1xL4IViO+iert/V3eoI1vnidx7P8Ppjju8uVHduGHKcm/e8IYOOYLe9pVWfyZQOK6k1+3HiCHEBkj+eGgL1++fPnyDxmG/wCaZk6TFSnEBAAAAABJRU5ErkJggg==)
From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure. Which of the following statements
is/are correct?
![](data:image/png;base64,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)
physics-General
Physics-
Two particles 1 and 2 are projected with same speed
as shown in figure. Particle 2 is on the ground and particle 1 is at a height
from the ground and at a horizontal distance
from particle 2. If a graph is plotted between
and
for the condition of collision of the two then (
on
-axis and
on
-axis
![](data:image/png;base64,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)
Two particles 1 and 2 are projected with same speed
as shown in figure. Particle 2 is on the ground and particle 1 is at a height
from the ground and at a horizontal distance
from particle 2. If a graph is plotted between
and
for the condition of collision of the two then (
on
-axis and
on
-axis
![](data:image/png;base64,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)
Physics-General
physics-
a) Name the experiment for which the adjacent graph, showing the variation of intensity of scattered electrons with the angle of scatter ing (q) was obtained.
b) Also name the important hypothesis that was confirmed by this experiment
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458425/1/937176/Picture64.png)
a) Name the experiment for which the adjacent graph, showing the variation of intensity of scattered electrons with the angle of scatter ing (q) was obtained.
b) Also name the important hypothesis that was confirmed by this experiment
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/458425/1/937176/Picture64.png)
physics-General
physics-
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is
, then the ratio of tensions in the three sections of the string is
![](data:image/png;base64,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)
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is
, then the ratio of tensions in the three sections of the string is
![](data:image/png;base64,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)
physics-General
physics-
A ball of mass
kg is attached to the end of a string having length
0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is
![](data:image/png;base64,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)
A ball of mass
kg is attached to the end of a string having length
0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is
![](data:image/png;base64,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)
physics-General
maths-
The ellipse
and the straight line y = mx + c intersect in real points only if
The ellipse
and the straight line y = mx + c intersect in real points only if
maths-General
Physics-
A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
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A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
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Physics-General
physics-
Four capacitors are connected as shown in figure. The equivalent capacitance between
and
is
![](data:image/png;base64,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)
Four capacitors are connected as shown in figure. The equivalent capacitance between
and
is
![](data:image/png;base64,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)
physics-General
physics-
A frictionless track
ends in a circular loop of radius
figure. A body slides down the track from point
which is at a height
cm. Maximum value of
for the body to successfully complete the loop is
![](data:image/png;base64,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)
A frictionless track
ends in a circular loop of radius
figure. A body slides down the track from point
which is at a height
cm. Maximum value of
for the body to successfully complete the loop is
![](data:image/png;base64,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)
physics-General
physics-
In a circuit shown in figure, the potential difference across the capacitor of 2 F is
![](data:image/png;base64,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)
In a circuit shown in figure, the potential difference across the capacitor of 2 F is
![](data:image/png;base64,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)
physics-General
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOUAAACfCAYAAAAGcB6xAAAKdUlEQVR4nO3dT2gTeR8G8GdE3VKF9rLbqQiNLLg9xN2AoJ4khagRFeOecljYygpJlz300MUUBOupEQUrLLYVS+PJeBDrPxjXQIY96WHZQnPoLrxrqodO7SUFlaDQeQ8lWauZTKqZma/T5wO95DdpHu08+c2/TBTTNE0QkRgbvA5ARKuxlETCsJREwrCURMJs9DqAm8rlMh4/fgwACIVCaG9v9zgR0Yd8X0pd15HJZKBpGpaWlrBv3z4AwPT0NADg0KFDiMfjiMViXsYkqlL8ekpkdnYWyWQSiqLgxx9/RDQahaqqq5YplUrQNA03b95EsVjE8PAwotGoR4mJVviylNlsFufPn8elS5cQDocbes709DRSqRTC4TBSqZTDCYms+a6UIyMjePLkCSYnJ9HS0rLm56dSKRiGgUwm40A6Inu+Ovo6NTUFXddx48aNjyokAKTTaaiqinQ63eR0RI3xTSkNw0AqlVo9w81N4LCi4Ffd6lk6flUUHJ6YW/VoOp2GruvQNM2xvERWfFPKVCqFVCq1+jRH19cIAij8b67mc+YmzuMiBnD6p64PxtLpNAYHBx1KS2TNF6UsFovQdR29vb3vjexAdxTQZp9++KS5CSRPaYhe+wW1DgWFQiEEAgFMTU05EZnIki9Kmc1mEY/Ha4x04euVqRLvz5X6b6egWcySFcePH2cpyXW+KOXU1JTlyf8dK1MlVs2VcxM4fxEYyF+oOUtWxGIx3Llzp5lRiWz5opTFYhGBQKDmWNfKVIl3dyv1305Bi17DLzanMNvb2/HFF1/AMIzmhSWyYXuZ3dzcHM6ePWu50kuwsLDwwdU6VTu6EcVFzD4F0IV3ZsmfYL3h+p+2tjacOXMG27dvb2LitXv+/DkmJiY8zUDusJ0pf//9dxQKBTeyOOO9I7CNzpIVy8vL2LjR+0uE7969i2Kx6HUMcoNpY3Jy0uzt7bVbzFOBQMB8+vSpxWjRvBaFiYG8aRavmVHAHMg3/rs7OjrM+fn5puT8FPX/jeQnvtin7OrqqjOL/HcEdmKNs2RlX9Jy05jIAb4oZTweRzabtRxfOQJ7CqcuAgOnG9uXBABN0/ipEXKdL0oZi8Xw8OFDlMvlmuMrR2ABDORxocFZEqh3/pPIOb4opaqqiMViGBsbq71A+AJM04S5hkbquo5yucyZklzni1ICwOnTp3H9+vWmnFMsl8tIpVIYGRlpQjKitfFNKVVVxeTkJGKxmOVmbKNOnjyJ/v5+hEKhJqUjapxvSgmsXEQ+NDSEcDj8Uef0SqUSYrFY9b49RF7wVSkBIBqNYmxsDCdOnEA6nW541sxkMujp6UFvb2+NT5sQucd3pQRWZsx8Po+lpSWEQiEkk0lomrZqf7NUKkHXdfT39yMQCEDXddy+fZt3tSPPeX/9mEPa29sxPDyMRCIBTdNw+fJl/PXXX1hYWKiOf/fdd4jFYtB1XfS1vbS++LaUFYFAAMlkEslk0usoRA3x5eYr0eeMpSQShqUkEoalJBKGpSQShqUkEoalJBKGpSQShqUkEoalJBKGpSQShqUkEoalJBKGpSQShqUkEoalJBKGpSQSxvelLBQK6OzsRC6X8zoKCZfL5dDZ2en5t8yJLuXY2BhmZ2drjhmGgXQ67XIikmpwcNDyzoW6rmNqasrlRB9PdCmfPHmCx48f1xybnZ3Fw4cPXU5EUmWzWcu74+u6junpaZcTfTzRpfxYo6OjUBQFiqJg165dMAwDBw4cqD6WSCS8jkhCJBKJ6npx4MABGIaBXbt2VR8bHR11PZMvS9nX17fyhT6miZmZGaiqikePHlUfGx8f9zoiCTE+Pl5dLx49egRVVTEzM1N9rK+vz/VMrpYyl8tV34EqPzwAQ7Saq6WMRCLVd6DKTyQScTMCfSYqR83ffQP3YlPSC76/GXMwGMT8/LzXMWiNvPi7RSIREeuKL/cpiT5nLCWRMCwlkTAN7VMuLi5C13Wns6zS0tJiu8zLly8dz9Xa2oo9e/Y4+hqS/fHHH1heXvY6hq23b9/aLuP2OlzLmzdvcPDgwbrL2JZyaWkJf/75J86dO9e0YI3q6OiwHHvz5g3+/fdfx3MVCgU8ePBgXRbzwYMH6O3tRTAY9DqKrVKpVHfcMAxP1uH3PXv2DN9//z0uXLhguYxtKdva2hCNRjE5OdnUcI04efKk5djmzZvx7bffIp/PO5qhp6cHr1+/dvQ1pNqyZQuCwaDj/8fNsGPHjrrjqqpibGzMpTTWhoaGbJfhPiWRMCwlkTAsJZEwLCWRMCwlkTAsJZEwLCWRMCwlkTAsJZEwoj9POTw8jPb29ppj4XAYgUDA5UQkVT6ft1wf+vv7XU7zaUSXUlXVuuMsJVXUWxes3til4uYrkTAsJZEwLCWRMCwlkTAsJZEwLCWRMCwlkTAsJZEwoi8ekKBYLKKnp8frGADs70PjBF6g4T7OlDYCgQDy+fwH34GyHn7qXbpGzmEpiYRhKYmEYSmJhGEpiYRhKYmEYSmJhGEpiYRhKYkAjI6O4ptvvsGLFy+8jsJSkj9MT09bjpVKJRSLRRfTfBrRpTQMA+Vy2XLc7j/61atXOHbsGBKJRLOjkTAnTpywXB9GRkaQyWRcTvTxRJdycHAQ2Wy25piu63W/v5KonsobtqIoUBQFP//8M/755x90dHRUH8vlcp5kE11KIqds2bIF9+7dq17ne+XKFezcuRMLCwvVxyKRiCfZXC1lLpervgs59W5UKBTQ2dkJRVGwdetW3L9/H1evXq2+npSdebL27t+w8jM6Oup1LNe4+tGtSCQC0zQdfY1gMIj5+XkAK5so8Xgc27Ztw/j4uKOvS83z7t9wPeLmKxGAvr4+/P333/jqq6+8jsJSEknj6zsPVHbmiT4nnCmJhGEpiYSx3XxdWlqCpmme3Dyqo6Oj7vjy8jIOHz5c96qfT1UoFNDa2urY75fs1atXKBQKYm4cVs/i4mLdccMwRPw7isUiDh06VHcZ21K2tbVh9+7dGBgYaFqwRrS0tNiextiwYQOGh4dRKpUcy9Ha2oo9e/Y49vslO3LkCG7duoXl5WWvo9j64Ycf6o6rqop4PO5SGmuZTMb2Kx4bOtDz5ZdfIhwONyXUWjRybjEUCrmQZP3av3+/1xEasmnTJttlvFiH36fruu0y3KckEoalJBKGpSQShqUkEoalJBKGpSQShqUkEoalJBLG158SofUjkUhYXikj4aKBtRBdyr1792Lfvn01x7q7u22vIaT1I5VKWY6xlE2UTCYtx1RVrfuHIPpccZ+SSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBiWkkgYlpJIGJaSSBjbL/h5+/YtZmZmMDQ05EYeIl/Tdd3ym+QqbGfKgwcPIhgMNi0U0XrW3d2No0eP1l1GMU3TdCkPETWA+5REwrCURMKwlETCsJREwrCURMKwlETCsJREwrCURMKwlETCsJREwrCURMKwlETC/B/Z9TztYQZZSQAAAABJRU5ErkJggg==)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAADFCAYAAAD68QZDAAARMUlEQVR4nO3dbVBU1R8H8C8+JLqIaLkCbwKtxUYUVOxJyMU/GBaYM+RkNpKOjTtg5UPONKiYj030oJIzKKaFviiLsRSRHFl1iUpIcig2hdURLQJcNRxkcVF0/y8cNtd94LDu7r3E9zPDTHPOPbs/bL/ce+7ee66fxWKxgIi61EfqAoh6CoaFSBDDQiSIYSESxLAQCWJYiAQxLESCGBYiQQxLD2E2m93qI89hWHqA8vJyvPrqq077ly5div379/uwot6JYekBzGYzrl275nY/eQbDQiSIYSESxLAQCWJYiAQxLESC+kldgNxt2LABHR0dktZw4cIFp2e7dDodqqqq0NzcjAsXLnithqamJmRmZuLRRx/12nvIHfcsXdi6dStPywKoqKjAoUOHpC5DUtyzdGHQoEFYsmQJwsLCJKtBp9Nh7dq1DvvUajWio6MxZcoUzJs3z2s1XLx4EYMGDfLa6/cE3LMQCWJYiAQxLESCGBYiQQwLkSCGpQcICgpCUFCQ2/3kGTx13ANER0fju+++c9q/efNmH1bTe3HPQiSIYSESxLAQCWJYiAQxLESCGBYiQQwLkSCGhUgQw0IkiGHxEb1ej/Hjx0Ov11vbXD3Os7W1FTdu3LBp6+joQHNz831bGpGSkgI/Pz+HPyEhITbvSe5jWHzAaDQiNTUVTU1NwmOWLl2KrVu32rT9+uuveOqppxxun5ycjNbWVlgsFpufxsZGREZGPlD9dBfD4mVarRYjRoyAwWAQHjNv3jxMnDgRixYtsnmdrKws/PTTT94okwQwLF6k1WqRmJiI3NxclJSUCI9rbm5G//79oVAorG3t7e1oaWnB8OHDvVEqCeBVx16UkJBgnZdotVqJq6EHxT2LzKxZswZqtRpqtdra9sMPP0Cr1WLdunVOxxUVFSEgIICTey9iWGSmpKQEo0aNwqhRo6xt58+fx9mzZzFt2jSn4xxN8Dm59yzZhqWrhe16w8J3x48fx/vvv4+ioiKcO3cO+fn5UpfUq8k2LJmZmdi7d6/T/vDwcB9W4xvffPMNLl26hCNHjmDnzp3Q6XSoq6vDlStXUFtbi+3bt0tdYq8m2wm+2Wx2+azE/+KeJSsrC6Ghoaivr0d9fT3S0tKwdu1aHDt2DJ9++ilUKpXUJfZqsg1Lb2KxWFBZWYnRo0djw4YNGDt2rE3/1KlTMXXqVImqo04MiwxYLBYkJSXhxIkT3HvIGMPiIwkJCWhsbHTaP3jwYPTp484UUomDBw+6XxgJY1hkoE+fPqipqcGAAQOkLoVcYFhkwt/fX+oSqAt2Ybl48SJeeeUVDBw4UIp6rM6ePYsxY8bYtZvNZqSnpwMA4uPjvV7HlStX0N7e7vX3kbu///4b2dnZ2L17t9SlPLC2tjZ88skniI2N7dY4u7DU1dWhvb0dH3zwgceKc0d2djaGDBli1+7v7w+NRoP8/Hy89957Xq9jzpw5PDwCMGzYMEyYMAFJSUlSl/LAsrOzcebMmQcPC3B37dx7r02Swu7du9G/f3+HfU8//TQA+KRGbwbFz8/Pa6/taQMHDsTo0aMl/1x4gqvPliuy/QafSG4YFiJBDAuRIIaFSBDDQiSIYSESJNuwdPXot7CwMB9WQyTjy126evRbXV2djyohuku2exYiuWFYiAQxLESCGBYiQZKGxWQyISUlBRqNRsoyiIRIGpY9e/agqKhIaNvTp0+jsLDQrn3nzp24cuWKTZter0dISIjTxzCkpKTAZDJ55Heg3kOysOj1epfLkd6rpqYGRUVFqK2ttbbdunULX3/9NX7++We0tbU5HJebm2v3CAaLxYKDBw/aLLpNJEKS71lMJhMyMzPxzjvvoLS0tMvti4qKcPr0aZsVGW/cuIG0tDTU1dUhNDTUm+USAZBoz7Js2TIAwOuvvy7F2xO5xed7Fq1Wi8LCQpSUlGDQoEFdbn/9+nXcuXPH5hbj27dvw2g0YsSIEW4uH0TUfT79pBmNRixatAirV68WXt1948aNuHz5MnJycqxtFy5cwMSJE3Hu3DkEBwc7HZuRkcHJPXmMT8OSlZUFlUqFtLQ0n7yfowk+J/fkLp8dhhmNRuh0OhgMBgQEBNj1FxYW4rOfG5HsYnH80tJSpKen4+bNm2htbUVUVBRKS0uhVCq9WDnRXT4Li1KptDn1C9w9KzZ79myEhoYiLy/PbsyHH36IL7/8EhaLBSdPnoRKpcK2bdvQ0NCAOXPmoKamBh0dHb76FaiXk+0l+gBgMBjw3HPPYebMmQCA4OBgxMbGorW1FQUFBQCAoUOHSlmiT5jNZlRVVVmXgLpfVVUVwsLCXN7/Qw9OtmHJy8tDeHg4pk+fjgkTJtj0BQQE4OWXX5aoMt8rLy/H2rVrcfz4cYf9OTk5mDJlCubNm+fjynoXScOiUCicrgD//fffIyUlxS4oRFKR7Z5l+vTpeOKJJ9waGxkZ6fLxDkTukG1YeCUyyQ2//iYSxLAQCZLdYZjFYnmg8T1pZXrqWWQXFn7YSa5kFxa5aW1txWuvvYaHHnpIshquXbvm9Aa37du34/DhwygvL/fqU7kMBkOvP43PsHTh6NGj+OeffyStoaqqynrFwv1mzpyJAwcOICoqyqtP5WptbUVycrLXXr8nYFi6MG7cOKlLAAAcOHDAYXtwcDCCg4P/M0/lkjOeDSMSxLAQCWJYiAR5NSxGoxERERHWW3ojIiJgNBqt/Y6WKeruD5GveC0ser0eUVFRUKvV1g+2Wq1GVFQU9Hq9dTtnC+GdPHkSf/31l02b0WjEjz/+aNMGXLQJ5P0/9weUyF1eC0tZWRkCAwOxfv16a9v69esRGBiIsrIyl2P/+OMPfPbZZ/jtt9+sbZcvX8ahQ4ecfpewcOFCh3ue2traHn/bcWRkJFatWuW0f8GCBUhISPBhRb2T18KSnp7u9gd14cKFSE5ORkpKirWtuLgY3377LXbu3OnJMiWh0Wgc7gW1Wq3D7R955BH873//g9lsxp9//mnXP3LkSJu7JHl46h0+m+CbTCYsWLAALS0tiIuL89Xbyk7nwh2OVp5xtXfo6OhARUWFzR8Q4N9/1yNHjti0a7Vap4emfn5+vAXCDT4Ji0ajQUBAACorK1FSUiK8Zth/kdFoREtLCx5//PFujSspKcGqVatQUVFh0x4fH4+lS5fipZdecjrO0eGpowVCyDWfhCUvLw8WiwUlJSVITEx0+VctPj4eK1aswLRp06xtO3bswIkTJ/D55587Hbdjx44eMblvamoCAJeLAzpy584d3Lp1C/7+/jbt7e3t6NevH/r27euxGskxn37PEhkZidWrV6OwsNDmjNi9GhoaMHToUAwcONDa1tLSArPZ7HL+42iCL8fJ/dmzZxEYGIgVK1ZYQx0SEuL034Pkw2th0Wg0DpdK7c7hR05ODl588UXs2rULR48exZo1azxdps9VVVXBYDDg7bfftoZ6xowZGDt2rNMJvlarRXFxMTZt2mTTPnfuXCxfvhxRUVG+KL3X81pYoqOjUVlZafcI7oKCAgQGBtr9xbdYLHjzzTfR1NSEjRs3Yv78+bhx4wZmzZqFqKgo1NfXo7Ky0lvl+kznIem9k/lNmzYhOTkZOTk5aHIwpr6+HhcvXsSzzz5r037s2DFERUXh4Ycfdvp+iYmJnNx7iNeuOk5NTcWWLVuQmZmJvXv3QqFQQKvVYseOHcjNzYVSqbQ5xWmxWPDVV19Bo9Fg+PDhAICkpCSMHTsWY8aMwcSJEzFy5EhvlSsphUKB0NBQ6HQ6XAXgajZz9epVZGdnA7h7eLp582asXLkSjz32mMPtS0pK+B2Mh3gtLEqlEqdOncLs2bOtaxsHBwejurra7mxYW1sbcnNz8cYbb2D58uXWsHSaNGkSJk2a5K1SfUav1yMxMRGrV69Genq60JiTJ0/i8OHDOH/+PD7++GPcvn3b5o9Mfn4+5s6d6zQs5DlevZ/F1SJ697p+/TreffddXL58GcOGDfNmSZIKDw9HTEwMiouLkZaWZl3N32QyoaGhAWq1GmPuG1NaWorKykpMnjwZ1dXVUCqV+OijjwDcfVRgc3Nzt8+skXtkcfPXgAEDkJSUhP79+7sx+lG7BcflSqFQYPHixUhMTMSePXuse5dly5bBYDBg165dNtvX1tbi5s2byMjIsD4t7V5btmzxSd10lywu0Q8KCsKhQ4cwePBgqUvxuoSEBFRXV2PdunXWCXdDQwNOnTpld9Ljiy++QHNzs8OgkO/JYs/S24guLztkyBDcuXPHBxWRCIZFxjIzM90em5CQwAsqPUwWh2FEPYGkYeGCetSTcM9CJEi2YamqqsK1a9ec9ut0Oh9W07Nwj+0dsg1LTk4O9u/f77Q/Pj7eh9UQyTgsRHLDsBAJYliIBDEsRIIYFiJBDAuRILtrw1pbW61LpEqpb9++UKlUdu1msxnjx48HwO8TyD3OPltdsQtLQEAAYmNjcfz4cY8U5q758+cjJCTErt3f3x9nzpyBn58fLxQktzj7bHWFh2FEghgWIkEMC5EghoVIEMNCJIhhIRIk23vwn3/+eYSFhTntX7JkiQ+rIZJxWGbPnu2yf/PmzT6qhOguHoYRCWJYiAQxLESCGBYiQQwLkSCGhUgQw0IkiGEhEsSwEAliWIgEMSxEghgWiRiNRkRERGDbtm1Sl0KCGBYiQQwLkSCGxYe0Wq31CcUjRoyAwWBARkaGtS0lJQUmk8lmTE1NDbZv3y5RxXQvhsWHOh+KarFYcOnSJahUKuTm5lrbDh48CIVCYTOmvLwcFRUVElVM92JY/iP0ej1CQkKseyk/Pz+ePPAw2d4pSd0TGRmJxsZGqcv4T2NYJKJUKlFbWyt1GdQNPAzrgZqamqQuoVdiWHqg8PBwqUvolRiWHshsNktdQq/EsBAJspvg9+vXTxYPM6J/Pfnkk3Zt/P/zYCZPntztMXZhiY2Nxa1btzxSED24/Px8lJaW2rXzQU6+x8MwIkEMC5EghqUH8vf3l7qEXolh6YHq6uqkLqFXYlh6oODgYKlL6JUYFiJBDAuRIF51LHNqtRpBQUFSl0EA/Cz8dotICA/DiAQxLESCGBYiQQwLkSCGhUgQw+Ij27Ztc7iIHvDvusedSxhFRETAaDS6fC0/Pz9otVqn23Qu6OdqG+oehsUHtFotMjIyHPYZjUbExcVBrVZbF9tTq9WIi4tzGpjU1FSoVCoUFBQ4fc+CggKoVCqMGzfOI78DMSxep9FokJiY6LR/3759AID169db2zr/u7PvfkqlEmq1GjqdzmGgjEYjdDodlixZAqVS+SDl0z0YFi/SaDQoLCxEdXU1Fi5caNdvMplQXFwMlUpls2yrQqGASqVCcXGxw8M2AHjrrbfQ0tLiMFD79u1DS0sL4uLiPPfLEMPiTXl5eWhsbERkZKTL7UJDQ+3CEhoa6nJMeHg4YmJi7ALVGcAZM2Z0+b7UPQyLhEwmEwwGg9N+g8HgdM+iUCjwwgsvoLKy0ub+lrq6OlRWVmLWrFker7e3Y1h6sNTUVAQGBqKsrMzaVlZWhsDAQE7svYBhkVDn3MSZ++cy9+uc6HceihmNRmzZsoUTey9hWGSgoaHBbt7R0NBgN5dxZNasWdZDsd9//50Tey9iWCTUOe+4f27SOZeJjo7u8jWeeeYZxMTEYOvWrSgoKEBMTAzXQvYShkViqampAICsrCxrW+d/d/a50hm4X375BYWFhVi8eHGXeyNyD8MiMaVSibKyMuh0OuvlLjqdDmVlZcLzjtTUVLS1tXFi72W8U5JIEPcsRIIYFiJBDAuRIIaFCMDVq1excuVKl9twgk8kiHsWIkEMC5EghoVIEMNCJIhhIRLEsBAJYliIBDEsRIIYFiJBDAuRIIaFSND/AalENJAKf7ymAAAAAElFTkSuQmCC)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
physics-General