Maths-
General
Easy
Question
Solution of differential equation xdy – ydx = 0 represents
- a rectangular hyperbola
- straight line passing through origin
- parabola whose vertex is at origin
- circle whose centre is at origin
Hint:
In the question we have to find the solution of the given equation by integrating it then we will observe the equation and determine the characteristic.
The correct answer is: straight line passing through origin
Given, x dy – y dx = 0
![rightwards double arrow x. d y equals y. d x
rightwards double arrow 1 over y. fraction numerator d y over denominator d x end fraction equals 1 over x. fraction numerator d x over denominator d y end fraction
i n t e g r a t i n g space b o t h space s i d e s space w e space g e t
rightwards double arrow log space y equals log x
rightwards double arrow y equals x
S o comma space t h e space e q u a t i o n space r e p r e s e n t s space a space s t r a i g h t space l i n e space p a s sin g space t h r o u g h space t h e space o r i g i 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Related Questions to study
physics-
If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as
If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as
physics-General
physics-
A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by
A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by
physics-General
Maths-
Integrating factor of the differential equation
is
Integrating factor of the differential equation
is
Maths-General
physics-
The equivalent capacitance of the combination of the capacitors is
![](data:image/png;base64,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)
The equivalent capacitance of the combination of the capacitors is
![](data:image/png;base64,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)
physics-General
physics-
Four plates of equal area
are separated by equal distance
and are arranged as shown in the figure. The equivalent capacity is
![](data:image/png;base64,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)
Four plates of equal area
are separated by equal distance
and are arranged as shown in the figure. The equivalent capacity is
![](data:image/png;base64,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)
physics-General
Maths-
Solution of differential equation
is
Solution of differential equation
is
Maths-General
physics-
In given circuit when switch
has been closed then charge on capacitor
and
respectively are
![](data:image/png;base64,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)
In given circuit when switch
has been closed then charge on capacitor
and
respectively are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXsAAAEJCAYAAAB11IfBAAAgAElEQVR4nO3dWXMbZ3o+/Ku7ATTQ2DcSADdxFbVLI9kej+3JxJVxkpMklZyk8l3yYXIylapUKlVJpSqVKU/8lxdJtmVLpChxkbgLJEDsO9Dd6PfAb7ephRIp0SIbuH5VqqmRSbApSheefvp+7lswDMMAERH1NPGkL4CIiH55DHsioj7AsCci6gMMeyKiPsCwJyLqAwx7IqI+wLAnIuoDDHsioj7AsCci6gMMeyKiPsCwJyLqAwx7IqI+wLAnIuoDDHsioj7AsCci6gMMeyKiPsCwJyLqAwx7IqI+wLAnIuoDDHsioj7AsCci6gMMeyKiPuA46QsgetdarRay2SyePHmCWq0GWZYxOjqKoaEheL1eiCLXQNR7GPbUV1qtFjY3N/HNN9/g3/7t37C5uYlYLIa///u/x1//9V9jZGQEsiyf9GUSHTuGPfUFTdOws7ODpaUlfPfdd/j2228xNzeHWq0GQRBQKpVQrVbR7XZP+lKJfhEMe+pphmGg0Whgb28P9+7dw1dffYVbt25heXkZ1WoVsixDEAR0Oh00m02GPfUshj31tFarhfX1ddy6dQvffPMN7t69i+3tbZTLZei6DlEU0Wq1UK/X0Wg0GPbUsxj21LNarRZ2d3exsLCAmzdv4rvvvsP6+jparZb1MZqmod1uo9FocGVPPY1hTz2p2Wwik8lgcXER9+7dw/3797G1tfVM0AM/bfOoqopms8mwp57GsKeeYxgGlpeXcevWLczPz2N9fR2yLENRFNTr9Wc+ttvtWvv1rVaLYU89i2FPtmcYBnRdR6fTQaPRQD6fx+3bt/Hll19iZ2cHLpcLly9fRiAQwI8//ohqtQpVVQH8HPaNRoN79tTTGPZke4IgQFVVbG5u4uuvv8Z///d/o1KpIBqN4i/+4i9w9uxZxONxrKysIJVK4auvvsLa2pr1+e12G/V6HfV6nWFPPYthT7bW6XSQy+WwsbGB+fl53LlzB6urq0gmk7hw4QI++eQTnDt3Dl6vF4lEAqIoYn19HRsbG1awa5qGVqvFbRzqaQx7si1N05DJZHD79m188803ePDgAWRZxt/+7d/i8uXLOHv2LAYGBuD1euFwOJBMJnH58mWMjo5ibm4OjUYDqqpa20C6rsMwjJP+toh+EQx7sp1Wq4VisYjNzU0sLi5iYWEBu7u7iEajmJ6exieffIKpqSnE43HIsgxJkgAAPp8PQ0NDuHHjBnZ2djA/P4+9vT2rIqfT6TDsqWcx7Mk2dF1Hq9VCJpPBwsIC5ufnsby8jE6ng3g8jkuXLuHixYuYmZmB3++Hw+F4oalZIBDAhx9+iGaziWKxiHK5DE3ToGmatcon6kUMezr1ut0uNE1DrVbDxsYG5ubm8M033yCTycDtduP8+fO4du0aZmdnkUgkoCiKtZp/nizLuHjxIlqtFubm5pDNZpHL5WAYBrrdLsOeehbDnk61brdrtSReX1/HvXv38OjRI6TTaXi9XszOzuKDDz7A1atXMTg4+NrXkyQJXq8X09PTuHjxIjY3N63ae03TGPbUsxj2dCoZhmE1KCsUCrh79y7+9Kc/4YcffgAAfPrpp3jvvfdw7tw5JBIJ+Hy+I72+1+vFpUuXsLa2hnQ6bZVvMuypVzHs6VQyDAO7u7t4/Pgx5ubmsLCwgKdPn2JkZASTk5P47W9/i/PnzyOVSh24ZfMqiqLg0qVLePr0Kba2tlAqlVh6ST2NYU+njmEYKBaLmJubw82bN3Hz5k10u13Mzs7ib/7mb/DrX/8afr8fsiy/8VQpp9OJ8fFx3LhxA+l0Gg8fPoTT6YQgCMf83RCdDoLB+1Y6RQqFAh48eIAffvgBCwsLKBaL8Hq9mJiYwJUrV3Dt2jWMjo4eWyhns1k8evQIOzs7UBQFn3zyCcLh8LG8NtFpwrCnE2f2p8nlcnj8+DG+/PJLfPfdd6jVahgaGsLvfvc7XLt2DZOTk9YBqeNidrxUVRWiKFolm0S9hmFPJ8owDJRKJSwvL2Nubg7379/H3t4eJEnCzMwMLly4gHPnzmFoaAjBYPDYh4EbhmH9AgBRFLmVQz2JYU/vnFnT3ul0kM/nsbq6itu3b2NpaQmFQgEDAwM4d+4cLl++jImJCcRiMXi9XoYw0Vvg/Sq9U4ZhoNPpoF6vI5/P4+HDh7h37x7u3r2LTqeD6elp/OY3v8H777+PeDxuHZBi0BO9HYY9vVOGYaBWq2FxcRHffvut1Z8mHo9jenoaV69exdmzZzE0NARZlk/6col6hu3CXtM05PN51Ot1HoKxGUmS0G63kc1m8eOPP+Krr75CNptFLBbDBx98gN/85jeYnp6G2+0+0es0u2ASmc9weuHO0nZ79sViEf/+7/+O77//Hjs7O2i32z3zw+h1giBA13U0Gg2IoohQKIQbN27g/fffx/T0NAYGBqAoyon/LM2pVzxg1d9EUYTL5XqjQ3unke1W9u12G48ePcKPP/6IWq0GRVEQCASOvUqDfhmGYcDhcGBgYAAXLlzA7373O1y/fh0ej+ekL81a0e/s7GBlZQXNZvPE33joZJhv9LFYDIlEwnp+ZOe/D7YLe9PQ0BDGxsZw5coVnD17tmfefXuZeRNpGAZkWUYgEEAoFILD4bB64ZykbreLZrOJ+fl5/Ou//ivy+by1iDjpa6N3yzx7YTba+/jjjzE2NmbrU9a2DHszLAYGBjA1NYVLly7xIIxN7K9nlyTpVO2JCoIASZLg9/sxPDwMn8/HO8Y+sv/vYCaTwfb2NsrlMkqlEprNJnRdh9PpPMErfDu2TEhBECCKIpxOJ2RZhtvtZtjTWzP3aCcmJvBXf/VX1vMg6h/mwmNxcRF37tyBz+eDy+WCIAi2LwaxbULu/0fIf5B0XCRJQiwWg6IofEDbZ8wcMe/mNjc3IQgCnE5nT9zh2Tbs9x9z73a73LOnYyEIAmRZZo1/n4vFYvD7/VBVFQ6H49RsNb4N24a9qRd+CPRq3W7X+mV6/s7O3Nrj3wU6DrquW2Mq7b59Y7Jt2AuCYA2U5j/w3tXtdtFut5FOp7G1tYVOp2P97CVJgiRJcDgcCAQCGBsbg6IoJ33J1AN6JeD3s2XYG4ZhPaA1A596U7fbRbVaxcLCAr7++mtomga32w1ZluFwOKxb7GQyiUgkwrAnOoAtwx74uSKHQd/bVFVFLpfD9vY2crkcrly5gtnZWbhcLjSbTRQKBWxtbSGfz0PTtJO+XKJTy/Zhzz373qaqKgqFAjKZDCqVCkZGRvDRRx/B4XCgVCphbW3N6pPEvwdEB7Nt2FN/6Ha7qNfr2NvbQzqdRrvdtrZwvF4vIpEIxsbGoOv6iTdQIzrNbBv2vfgAhV4kiiI8Hg8kSUK9Xsfm5ibW1taQSqUgSRICgQBGRkZgGAbDnugVbLfhvb8UioHf+1wuFxKJBFKpFLxeLxYXF3Hz5k2sra2h0WjA7XYjkUhgaGgILpfrpC+X6NSy5cq+l2pf6dWcTiei0Sg++OADqKqKH374Af/1X/+FRqOB9957D7Ozs/D7/XxYT/Qatgz7brcLXdcZ+H1AFEUEAgFcvXoVgUAA29vbuHv3Lm7dumX1xB8dHWXJJdFr2G4pZBgG2u22NVyCgd/bzN4kwWAQU1NT+Md//Ef83d/9Hfb29vCnP/0Jn3/+Oba2tk76MolOPVuGva7rXNn3AVVVoaoqgJ8alIVCIbz//vv4+OOPEQgEkMlkMD8/j2w2e8JXSnT62XIbh7X1vc8wDBSLRXS7XcTjcUiSBMMw4PP5MDIygnPnzkHTNBSLRTQajZO+XKJTz5ZhT73NMAxUq1UsLy+j1Wrh7NmzGBgYsDpRejyeZ3rj8I2f6PUY9nTqqKqKUqmEJ0+eoFwuW6PgEokEHA4Hms0mWq0WZFlGIpGAz+c76UsmOvUY9nTqtNttVKtVdDodVCoVLC0tQVVVNBoNiKKItbU1NJtNJBIJXL9+Hclk8qQvmejUs23YsxFa79J1HQAQj8etubCVSsWquqlUKhgeHkY8HsfVq1cRi8VO8nKJbMHWYc/2xr1JkiQEg0FcuXIFmqZB0zTkcjnkcjkAQCAQwGeffYZ4PI5IJMKTs0SHYMuwNwzjmQEW1FtkWUYwGLR61WuaBp/PB7/fD0EQ4PP5MDg4yL16oiOwZdgD3MbpZS6X64XVullySURvhklJRNQHGPZERH3AtmHPgzRERIdn27BnXxwiosOzZdh3u112vCQiOgLbhb1hGFY3RA4xISI6HNuGvaZp6Ha7J305RES2YLuwBziWkIjoqGwZ9kREdDQMeyKiPmDrsOdWDhHR4dg67HmwiojocGwZ9mYDNM6iJSI6HNuFvTnMgvNHiYgOz3ZhD/w03MLsZc+wJyJ6PVuG/f5e9gx7IqLXs2XYExHR0TDsiYj6AMOeiKgPMOyJiPqALcNe13X2syciOgLbhb1hGNA0DZqmsfslEdEh2S7sATwT9kRE9Hq2C3vDMDiWkIjoiGwX9kREdHQMeyKiPsCwJyLqA7YMe7O1MfviEBEdju3C3myCJkkSG6ERER2S7cIeYItjIqKjsl3Ym8NL2OKYiOjwbBf2wM9bOQx6IqLDsWXYExHR0TDsiYj6gO3CniWXRERHZ7uwZ08cIqKjs03YmwHf6XSg6zoDn4joCGwT9iZVVZ8Jem7pEBG9nm3C3gx4ruqJiI7OcdIXcFTcsyei08acs2FOzzMMw2rrclp2H2wX9gA4jpCITg3DMNBut9FoNFCr1aCqKhwOB3w+H0KhECRJOulLBGDTsCciOk0qlQrW1tawuLiIcrmMSCSCs2fP4tKlSwz748AVPhGdFMMwUKlUsLGxga2tLezu7qLZbMLtdsPn88Hj8ZyaLRzA5mEPsBqHiN49XdfR6XSwurqK//3f/0U6nYbX68WHH36IS5cuIRwOQ1EUOBynJ2JPz5UcgcPhgGEYcDgcDHsieuc6nQ7u3buH+fl5lEolDAwM4OzZs5iZmUEikYDb7T7pS3yB7cJeEATr3dLhcEAUbVM9SkQ2ZxgGBEFApVLBnTt3sLS0hMHBQZw7dw7Xr19HOByGJEnWxx32NXVdt351u10AP7eGEUXxWOZ32C7sAVgBz6AnondBEAQYhgFN09BqtbC1tYWFhQVks1lr26bVaqFerwMAvF7voR/Mtlot5PN5ZLNZFItFuFwuiKIIVVWhKAqi0Sii0Sj8fv9bPey1XdizERoRnRRN05DNZrG6uopcLod2uw0AKJfLqNVqEEURoVAIU1NTCIfDr9x90HUd7XYb6XQajx49QqlUgmEY8Pl8aLfbWFtbQzwex9WrV+Hz+eDz+Y50x/A824U9gLf6homI3oS53bKzs4MnT55AFEUoioJ8Po9arYZ6vY5cLodwOIzPPvsMs7OzCIfDB4a9qqrY3d3F/Pw8bt68iVAohNnZWfh8PpRKJdy+fRsTExO4cOGCdWfxNmwZ9gx6InqXzMzRdR2lUgnFYhGxWAzxeBznz5+Hx+NBsVhEp9NBPp/Hl19+iVarhY8++ghOp/Olr1mr1fD//t//w8OHD+FyuTA2Nobp6Wm4XC5kMhnkcjmkUilEIhF4vd63ns5nu7A3a+sZ+ET0Lpkr+1arBVVVkUqlcP78eXzwwQcIh8Mol8twu924ffs2bt26BVEU8d5778Hr9T7zOmZbhVwuhy+++ALZbBb/8A//gPfeew9nzpxBvV6Hx+OxTuEODg6+8BpvwlZPOPf3xeFhKiI6CWa1TDgcRiwWg9vthsfjQTgcxtmzZzExMYFyuYy9vT3rY02GYUBVVaTTaayurqLVaiEQCGBkZASxWAyiKKJWq6HT6SAWiyESiRzbCVxbhb2u69A07YU/QCKid0EURbjdbni9Xui6jmazCU3TYBgGXC4XBgYGMDAwAFEUX9qh1wz7TCaDzc1NiKKIeDyOWCwGWZZRq9WwsbGBTCbzzGsdy7Ufy6u8A91uF6qqot1uQ9d16/e5nUNEvzRz69jhcCAWi2FgYAC7u7tYXl5GrVZ7puOlw+GA3++HoigvzSdd11EoFJDJZCBJEoLBIDweDzRNQy6Xww8//IDFxUXEYjEkk8ljC3tb7dmbhw7YE4eI3jVBEOB0OpFMJjExMYHt7W1kMhk8ffoULpcLTqcTW1tbKBaLmJycxMTExEsfzprl4/tr95vNprX1s7e3h06ng1Qqdawre1uFPcDmZ0R0chwOBxKJBFRVxcOHD5HL5bC5uQld1yHLMh4/foxisYhf/epXmJ2dhcvleubzBUGwVvOxWAyrq6toNpsoFotQVRXFYhGapsHv92NkZATxeLw/w55BT0Tvipk15laMGdROpxODg4O4fv06Njc30W63sbq6CqfTCYfDgZmZGZw5cwaJROKlK3uHw4GhoSE0m03s7u5CVVXU63Vrn1/XdetNJRqNHtsDWluFPcATtET0y9vfg2v/tou5yvb7/bh48SIikQg2NzdRqVQgiiKGh4cxOjqKZDJ5YDM0h8NhrdhzuRwqlQoCgQAEQUC320W324XH47FaJBzXAtd2YW9i6BP1tudD7l3+e3c4HHC73Wi3288cZjIf1EqSZIXxmTNnrKIRWZYhy/KBB6nMNwxRFBGLxfDpp5/CMAzIsoy1tTU8ffoUAKyKH/NzjuV7OpZXecf2v9MSUW8xDAPVahWlUska87c/JDVNgyzLiEaj8Pl8kGX52LMgEongwoUL0DQNoVAIoVAILpfrma/jcDjgcDigKMqRXtt8DafTiXA4DOCnasNGo4G9vT2IoohAIHDgG8absmXYm4N83/b4MBGdPubp0qWlJaytraFcLkOSJHg8HrjdbjSbTXi9Xpw7dw5jY2OIx+MvPAh9W4ODgwgGgwB+CnWn0/mLddltNpvI5XLY2NhAOp223gSO+/mk7cLevIVi2BP1JkEQoCgKAoEAdF23KlSmpqYwPj6Oer2OQqGAO3fuYHt7G1euXMHQ0BB8Pp/VzqBWq1mHnd72WoBXn9g3a+tlWYbL5bLKMF+XTWb7hWKxiJWVFezu7qLb7VrDmZrN5rG2hrFd2ANc2RP1MkEQEAwGMTAwAI/HAwCQJAmJRAJXr15Fo9HA/fv38e233+Lp06eQZdlqAWweTNrY2ECz2TyW0/avC3zDMODxeBAMBhGPx63WxocN+1arZd29JJNJAICiKNZB0sO8cRyGLcN+fykUEfUec3++0+lYLQWSySTC4TACgQB2d3chyzJKpRJWVlYwNTWFoaEhtNttbG5u4uuvv0alUnmra3g+X14V9oqiIJlMWtOqjvJ9hkIhnD9/HmNjY9A0DZIkwe/3IxgMHuvWkS3DHmDgE/UyVVXRaDTQaDQgSRJSqZRVcy6KIlwul7Xd8Xy/LEmS4HK5IMvyG3/9/bnyuq0gs5rGHB14lK8hSZL1kNnsDiBJkvXwl2GPn38APGRF1Huq1Sqy2SwqlQokSbLa/LZaLTSbTVQqFei6jkAggOHhYfh8PgA/lSxOTEzA6/Wi3W6/s3xwuVxQFAWhUOjQAW1WFDqdTqvyZv8e/XEvZG0b9lzRE/WucrmMdDqNcrmMQCAAn8+HbreL7e1tPHr0CI8fP4aiKEilUpicnEQgEADwU+VMKBSy9rzfVdjvHwp+1MHg+z/2l8w1W4W9ebqMq3mi3lYqlbC9vY1KpWJ1hMzn89je3sYXX3yBfD6Pq1ev4vz585iYmLDC3mxBvP/06rvKi/1f5zQuRm0T9t1uF51OB61W65k+0afxD5WI3k6lUkE2m0Wj0UC5XMby8jIajQZWV1ext7eHaDSKyclJnDlzBqFQ6KUHkLrdrrWf/yYljOZBLrM75asWmvvzSBTFY6ugOU62CXvgp8nuqqpydU/Uw1RVRbVaRa1Ws/bBzVJGc4tkf/i+LFTNU7jlchnNZhO6rh8pfM3XN98szO2Z/V//ZURRhNfrxeDg4LGfgH1btgr7/V0vT9u7JhG9PcMw0Gg0UK/XYRgGJiYmcOnSJVy6dAkejwdPnz7FH/7wBzx58gTBYBBut9tqZ/D8g9G9vT08efIEuVzO6nFzWGaP+Ww2i3q9jmAwiFAohEAgAFEUXzqBylzVJ5PJA+82TpKtwp6IepumaahWq2i323C73RgeHsb4+DhSqZTVLkGSJBQKBatj5EHj/2RZht/vh67r6HQ6r10g7v/v7XYb3W4X+XwemUwGU1NTGBwctA5M7Z+Wt//zzV71x9WW+DjZLuy5fUPUuxqNBrLZLNrtNnw+H2KxmBWwwM/P7lRVterRzdr750UiEXg8HnQ6HXS73SPtBjSbTWQyGWxsbCCXyyGVSuH8+fM4c+YMXC7XC2G/vxum2+0+9l49x8F2YQ9wiAlRLzH3xwEgm83iwYMHKBQKUBQFbrcbgiCgVqtB13Wsrq6iWCxa4wEHBgZe2vVSEAQrdI/aMkEQBNTrdbRaLXg8HsiyDEVRrOlSsixD07QDP/egN5+TZsuwZ3tjot5hGAY6nQ7K5TKePHmCBw8eoNFoIBaLoVarYWdnB6IoolqtYmtrC7IsY3p6GjMzM0gmky9dRe9vmPgmzDGDZlMzp9MJl8sFj8djvbbd2Crsny9vYuAT9YZ6vY6FhQXcvXsXKysr1kPQhw8fYmNjA51OB/V6Hbqu48qVKxgfH8fs7CwGBgasLZ7j9LLdA/MOxI5BD9gs7IGfx4WZe3UMfCJ7M/9N+/1+jI+PW3NeQ6EQvF4vRFGEqqrodDpwOByYnp7G6OgoQqGQtc3zS9gf+L2wbWzbsDeH+57GvTEiOjxBEBAIBHDt2jVcvnwZmqa99O7dDNz99e5c7B2e7cJ+v9f9oDudDmq1GiqVilVnG4vFrOG+/MtCdDqYLY1PW216L7F12AMHB745xGBnZ8dqqAQAY2NjGBkZQTQahaIott1/I6KTY+7f67pulWHuH6r0pjsO5taROdhk/3PK/b8Mwzjy17F92L9sL01VVeTzeTx48ADLy8vY3d1FLpdDs9mE3+/H7OwsPvvsM5w5c4YPeono0My8UVUVe3t7yGQyyGQyAIBAIIBkMol4PG49azjqa7fbbbTbbVSrVeRyOTQaDRiGAafTCa/Xa+1KaJqGSCRiNYA7DNuH/cu0223UajVrhqM5z1JVVTx69AiFQgGXL19GKpU61PgwIqL9arUaFhcXsbS0hEwmA1VV4ff7MTU1hbNnz2J6etoaqXgYuq5bs3V3d3dRKBSsU7z77xbMZ5aKosDlcvVu2B/2MJWqqtB1HalUCrFYDJIkQVVV7Ozs4F/+5V+wubmJYrGIdrt94A/EvE172SABvjkQ9Rfz37w5F7ZQKODBgweYn59Hq9VCtVqFYRjY3t5GvV632jscptumpmmoVCrWid2HDx+iVqs9s93cbreRy+WwuroKl8uFmZkZDA0NHel7sE3Ym3tYz/fBeNkfpNvtRjQaRSgUsg5AGIaBaDSK6elppNNp+P3+V1bzmKVe5ruq+UMz31lZBUTUX8wFoLnVMjIyYh2y2t3dxdbWFtLpNObn5/Hb3/4WsVjsUK9bqVQwNzdnNW2TZRlTU1OYmppCJBKBw+Gw7hxyuZxVrXRUtgl74KdbHbPF8at4PB5rxW7OqOx0OvB6vZidncXg4CAGBwefqdE1f5CtVgu1Wg2NRgOapsHlckEQBKiqak2xf5P9OCLqDZqmwel04le/+hXcbjecTifW19fxww8/4I9//CPy+Tza7fZrX8fMsZ2dHdy5cwcbGxuQZRmffPIJbty4geHh4WdyJhqNolKpoFwuIxgMHrn/jm3C3gzto/azb7fbKJVK2NzcxNbWFkKhECYnJxGLxZ4p8zKfcK+srOCPf/wjdF1HOByG2+2Gqqool8sYGxvDlStXnpkZSUS9b3+js2AwaA0YN/vy6LpuPVQ1RyMCr97yNadvraysYGFhAW63G1euXMHs7CxSqdQLC0pFUTA8PGw9mFUU5Ujfg23CHoBV6nTYoNd1HZVKBaurq5ifn8fq6ir8fj8EQbBW7mZom3037t+/j+XlZYTDYfh8PtTrdauE0+Fw4MKFC7/kt0hEp5hZXmkOODd3DcrlMjqdDkZGRhAKheD3+1/7Wu12G0tLS9Ye/dDQkBX0L2sB4XA4MDg4iE6n88LoxcOwVdgfhbktUy6Xsbi4iIcPH+Lx48fY2NjA8PCwVcZkVumsr6/jP//zP5HNZjEzM4OrV69iZGQEjx8/tsqsFEVBNBo98h8yEfUWs0yyUChga2sLjx49wtbWFkZHR5FIJA51599qtXDnzh08ePAAAwMDmJmZwcjIyIH5IkkSIpGIVdffs9s4R2Vuy8iyjFQqhXa7DZfLhe3tbaTTaWxtbWFqagqyLKNcLmN9fR1zc3NwuVz47LPPcOHCBXi9Xqyvr0PTNEiSBI/HA6/Xy4NYRH3OXEw2Gg2k02msra1hY2MDjUbDypxEIgEABz7fazQaWFxcxObmJv78z/8cQ0NDCIfDB75RCIIAWZatqsSjPqTt2bA3hcNhXL9+HTMzM9jc3MTe3h5WV1dRKpWQz+cRi8Wwt7eH7e1t5PN5nDlzxmqdWq1WUSqVUK1W4Xa74fV6IcvySX9LRHQKmHXvmqZB13U0m03cv38ftVoNY2Nj8Pl8UBTlhbA3g7rZbCKdTqNUKiESiSAajUKW5dcWf7xpmxdbhv1hvlnDMKzOmOahKkmSMDU1BVVV4XK5oGka2u028vk8isUiAoEAUqkU4vG4ta+fyWRQLpcxMDCAYDD4i7RTJSJ7EUURDocDkUgEFy9ehCzL8Hq9+Pbbb5HJZPD06VMkEokDt2Q0TUOr1UKj0UC320UgEIDf74fT6TxwgDrwdmd8bJVcz/ezP+gdUNd160CU2R1PkiQEAgFEo1HE43HrsIKu66jVami1WojFYtZhCF3Xkc1mrbrWeDyOcDj8Lr9dIjrFzExRFMU60ZpOp1EoFFCtVlGr1Q4sEzcXrGYHz9e1bel2u3MTUPgAABE4SURBVNZrmQ+Jj8pWYQ8crsWxuWLf3/teFEXr90VRxNjYGJLJpFXSKQgCotGoFeiZTAZra2toNBrw+XwYGhqyyqmIqD+ZC879i0lJkhCNRnHmzBmcP38emUzmta0SJEmyikQqlQqq1Sqq1SpUVX2hhUu327XKznVdh9PpPHLZJWDDsAd+bod60PCSSqWCzc1N7O7uQlVVhMNhq4dEKBSCx+OxHoa0Wi34/X4oioJ8Po90Oo3NzU1UKhWUSiXr3XtwcPBIfSiIqHeYBR/mwPN6vQ6XywW32w1Jkp4ZX6goCgYHBxEOh1+6Ajczy+v1WqXca2triMViCIVCGB4etiptzJ455huBoihvvJVsy7A3t3EOUi6XsbS0hFu3bqFUKmFsbAxDQ0NIJpMYGxtDLBbD4OAgFEWB0+lEKpXC9vY25ubmsLKygpWVFRiGYf3hxmIxxGKxN3o3JaLe0e12UalUrLYGgUAA4XAY9Xod5XIZtVrN2jlIpVKv3JpRFAUff/wxJEnC4uIiXC4XIpEI/H4/4vE4gJ8qdvL5PPL5PABgaGjojasBbRn2poMe1AaDQczMzECWZTSbTYRCIQSDQet//X6/1dPC4XAgkUjg2rVr8Hq9cLvdmJycxNramlWFE4lE4PP5jlzXSkS9pdvtolQqYXFxETs7OwCARCJhlUROTk4iEokgFou9tqrG4/Hg4sWLcDgc8Hq9qFar+P7775HJZBCLxawTumbJdyAQgNfr7a+VvemgLpjm7MrZ2Vnr4/Y/CDEfhpglUKFQCD6fD5OTk9at2Pr6OvL5PMLhsDXrkvX1RP3NbMhYr9exvr6OWq1mlXAnEglcuHABo6OjhyrRdjqdGB4ehtvths/nw8LCAtbW1rCysoKnT5/C4/EgkUhgbGwM4XDYegN4075ctgr7/VNcXtUy4flh5M8fQHj+bsD8eJfLZQ03LhQKSKfTiEajVkkUEfU3SZKQSCRw/fp1JBIJ65mf3+9HKBRCNBo9sHzyeeYD3lAohImJCQSDQZw7dw6dTgeiKMLj8VjbRIFAwAr6Ny2/tFXYS5JkBfP+lfrznt/eOewfvCAIaLVa2Nvbw+7uLkqlElRV5axaIgLwU3GI2XEyHo9D0zQ4HI5nHtYeVDhyEJfLhWg0ikAggJGREbTbbRiGAZfLZT34PUx55uvYJuzNYcSKosDv98Pn8x3qtNlR6LqOQqGA5eVl7O3tWafjOp3Oa9sqE1Hv2t/1UhRFKIryTHnly4YcHZYgCM900n3ZAarjWGy+ddgfx8muwxAEAT6fD8PDw7hx4wZ8Ph/8fv+x7aPvHyBsGAbGx8cRi8UwOjpq1d6/ST8KIuo9x323/y4m4b1V2O8/1fW6WxczTM03h8O2KTbpug63241EImG1PlAUxToUddjX2/+A9vnrM2+dotEogsGgdSfh8/kgSZI1D5KIyG7eemXfarWsod6vCkLzndBsGnTUsDdX1R6PxxoYIEmS1RrhMERRfGY61fPXZw4dMPtZmLds5rMCTqciIrt6o7A3p7JUq1W0Wi243W7Isnxg2Ou6jp2dHezu7qJSqVhT04/iZbc5R71LMI8oR6NRDA8PW4NMzNc0W4iysyUR9Zojh705Cf3x48fY2tqCw+FAKpVCJBI58NBRq9XCrVu38Pnnn+Pp06fWJPajru4P2iY67Os4nU54vV5cvHgR//RP/4TZ2Vl2sSSivnDkpKvX69jc3MT9+/exsbGB8fFxq0n/QQRBgNfrRTweh67rCAQC1v79u3zg6XA44Ha7rQEBR32zISKyqyOFvXlU+MmTJ1hYWEA6ncbw8DAURXllaDscDpw7dw7BYBD1eh2dTueNp628CfPrmOWb5qAAVtYQUb84dNgbhoFms4lisYhsNmsdOHI6ndYD0wO/yP8/KDcUCj3zQPVdhz3wc72+x+NhZQ0R9Y1Dh32n00E6ncbOzo7VE97lckFRFLjd7ldWqpiHENg1kojoZLw27M1Vca1Ww/3797GzswNFURAOhyGKojWXlVsiRESn16FW9nt7e1bIJxIJGIYBt9uNWq1mlSqyBp2I6PR6bdirqorHjx9je3sb586dgyAIWFlZgaZpzzQB4sqeiOj0OjDsdV1Hq9VCJpPBw4cPsbi4iHQ6DU3TsL6+jqdPn1ojsl63jdNoNHD79m08ePAAqqqeWFMxWZYxPDyM8fFxnDlzBsFgkHckRNQXDgz7druNYrGI7e1t69Tr9vY2SqUSNjY2UKvVMDIyYrXffFXNuqqqWF5exhdffIFms/lOw35/ozbzQJUkSRgYGOBMWSLqG68M+3K5jHw+j5mZGVy/fh2yLGNrawu3bt3C0tISAFhtOV+1snc6nZidnYWu62+1st/f2uBNGqq53W6kUimMjo6+9mwAEVEvOTDsFxcXUa/XIUkSxsbGMDIyYjUDe/DgAQRBQKfTgaqqr/0iTqcTU1NTiEQib9QEzbS/xcJR+0ebjdPMWY7mDFoion5wYNj/3//9HwYHBzE7O4t4PA5FUdBqtayZi5VKBYqioFwuo91uW50hX8bpdCKVSiGZTD7z+4c9VGWGfKfTsbpmmnX+5uSqV30u8OKbA6dPEVE/OTDsv/32W1y4cAFTU1OQZRmqquLu3bv4+uuv8eTJExQKBaiqirm5OcTjcZw7d+6VTcWO40FotVpFNptFPp9HIBDAxMTEgc3XiIjoZ68svTR7uUuSBFVVsbGxgXQ6DZfLhUQiAZ/Ph0qlgt3dXczMzPyiF9put7Gzs4OlpSU8efIEQ0NDiEaj1oxGIiI62IFh/8///M/w+/2Ix+PweDwwDAOffvoprl+/bvWjN/fAQ6HQL94KQdM05PN5bG1tYXt7G06nE/V63epgSUREBzsw7K9fv/7C742MjGBkZOQXvaCDdLtdNJtNVKtV1Go1NJtNDgInIjok25woMlsUm9tK5hxZPmQlIno924T9cXiT6VhERL3AtjP5XreqNwzDmoa1f6vH4XAc+W7AfA2zF7+u6xAEAU6n85kqI/Pug4jotLFl2L9uC6fdbqNaraJSqaBer0PTNPj9fkSjUfh8vkMHsq7r6HQ6qNfrKBaLaDabUFXVOqDldDrhdrvhdrvhcrngcrng9Xo5FIWITh3bhb0ZtPv37U3mqntnZwebm5vWWQC3241EIgG/33/oB7qapqFWqyGdTmNvbw/VahW6rkOSJKu2v91uW+2eBwcHkUgkOAGLiE4l24U9AOu0rhn4AKwTtuVyGffu3cN3330HXdcRj8dx9uzZIw1Y6Xa7aDQa2N7exs2bN5FOpxEOh5FIJDA4OAifz4dGo4G1tTVsb2+j3W7jww8/RCwW+yW/bSKiN2a7sN9flfP8yn5raws3b97E+vo6NE3D0NAQzpw5gzNnziAWi0FRlNe2VjAMA61WC/Pz8/j++++RzWahKArGx8cxNDSESCQCj8djlX/WajVks1nrjoPVQUR0Gtku7E379+y73S7a7TYePXqEP/zhDxgYGMDvf/97vP/++xgfH4fH4zn0Pn2z2UQmk8GXX36Jr776Cu+99x4++OADXL9+HeFw2Po4TdMQiUQQDAaxtraGRCIBt9vNsCeiU8m2YW8y99afPHmC1dVVKIqCqakpXLp0CSMjI/B6vYd+rW63i7W1NXz++edYXV3FwMAAZmZmMDk5+ULve4fDAa/Xi2QyCYfDgcHBQc7iJaJTy7Zhb4aqqqooFAr48ccfsb6+jmQyidHRUfj9fpTLZTSbTati5lVhbBgGNE3D2toa/ud//gc+nw8ffvghZmdnMTg4+MLnme0iwuEwFEWxpnYx7InoNLJt2AM/Bb6qqigWi1hYWMDm5iZGR0dRrVbx3XffoVAoAABSqRRmZmYwPT0Nt9v90i0dXdfRbreRzWaxtLSEGzdu4OzZs4jH4y+dsSsIAhwOB3w+n/UsgHv2RHRa2Tbs96/sq9Uqdnd30Wg0kEwmEYvFIIoims0misUiMpkMNE1DOBzGwMAA3G73C6+nqirK5TJyuRyKxSI8Hg9GRkYQCARe2rp5fwmoeS08nUtEp5Vtw96kqiparRba7TY8Hg9mZmYwMTEBURQRi8WwuLiI+/fvQ5Zlaw//+bDvdrtotVrY29tDsViEKIrw+/0IhUIvfWMwvWy1T0R0Gtkq7F/W28ZsZdDtduHz+TAyMoLR0VEAgKIo6HQ62NnZQavVwuPHj5FMJhGNRl94DXM7qNVqwe/3w+/3w+Vy8YAUEfUE24S9GfRmvxvT/rp7WZYRCAQQDAYhCAJkWbYOR+3s7CCTyaBerx/4+sBPrRhkWYYoii98rec/3mydIIriCzX/RESnia26dmmaBk3Tnglhs32BGc7tdhuqqsIwDKtXTSAQgNfrtQamP88cwjI6OopAIICnT58im82i0+kcGPbdbhelUgnlchmapnG/nohONVut7HVdt4LcDFdZlhEKhTA+Po5ms4nl5WXIsoxkMglN01CpVNBoNKAoijVK8WXcbjfi8TiGhoYQi8VQKBRw7949aJqGRCJhvaFomoZ2u41ms4lmswmPx/Mu/xiIiN6IbcJeEATouv7Myt5sQpZKpfBnf/ZnePjwIW7duoVOp4Nf//rXqFQqWF1dxfb2NsbGxnDt2jUMDAy89PVFUYTH48H09DR+//vfY2dnB//xH/+BarVqfZ7D4UC9Xkc6nUan00EymYQsy8/06CEiOo1sE/b79+v3lzw6HA4Eg0GcP38eoihibm4O1WoVS0tL1rbP+Pg4JicnDyy7BH6umx8bG8Nf/uVfYmlpCaVSCaVSCSsrKygUClb7YkEQ4Pf74fP5DqzbJyI6TWwV9gCsoSHmaVVBEOB2uzE0NGT1mM/lcshkMpBlGZFIBOfPn8fg4OAre9eYrzU4OIiPPvoI4+PjSKfTKBQKyOfzaDabCAaDiEajiMfjCIVC8Hq9Lz1wRUR02tgm7IGfAv/5w0zm/xdFEfF4HA6HA6VSCY1GA7Isw+/3Wy0NnE7nK4NZFEW43W44nU54PB7EYjGUy2W0Wi0IggCPx2PV35unZrmqJyI7sFXYm8xSR+Dng0yCIEBRFMiyjHA4jE6nA4fDAafTaT1cPcprh0Ih+Hw+xGIxqKr6zOASc5+eiMgubBn2wM/bOs/X3JvlleaWzetm1b6KJEnweDzweDzWXQUAruaJyHZsG/avclxh/DZvFEREpwmXqEREfYBhT0TUBxj2RER9gGFPRNQHbBv2b1tpQ0T0Kr2WL7YNeyIiOjzblV6ag8FVVYWqquh0OhAEgS2GiejYdDodqKoKTdOg6/pJX86xsFXYC4KAbreLZrOJQqGAdDqNdrsNl8sFgDNgiejtCYKARqOBTCaDSqVitVW3O1uFvWEYaLVa2NnZQblcRq1Wg8/ng9PptP47EdHbEAQBrVYL5XLZ6p7bC4Fvm7AXRRFerxfBYBCKokBVVWQyGZRKJfapIaJjpaoqWq0WJElCKBRCKBSy/aAi24S90+lEIpHA7OwsFEVBs9m0ZsWyVw0RHadut2v9ikQimJycRCQSsXXW2CbsHQ4HBgcHIQgCkskkOp3OC50viYiOw/4Z1z6fD6lU6sDBR3YhGDbZiOp2u1YFjq7r6Ha7J31JRNSjzC63oihCkiQ4HA7rl13ZJuwBPDNo3EaXTUQ29fzBKjvvItgq7ImI6M3Y92kDEREdGsOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+gDDnoioDzDsiYj6AMOeiKgPMOyJiPoAw56IqA8w7ImI+sD/BwjJ9yiOxH8WAAAAAElFTkSuQmCC)
physics-General
Maths-
Solution of differential equation
is
Solution of differential equation
is
Maths-General
physics-
In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at
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)
In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at
![](data:image/png;base64,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)
physics-General
physics-
In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become ![left parenthesis e equals 2.718 right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASkAAADCCAYAAAAVbTR3AAAbr0lEQVR4nO3d6VMb9+EG8Gd3pdV934hTBhvbSZw0ThzH/aXTvu6fm77oMZNMk7YeN1PHjuOkPjCHOAQSQre05+9F5rsVGGwMIlrg+cwwyRhpWe3x6HuvZNu2DSIil5LHvQNERG/CkCIiV2NIEZGrMaSIyNUYUkTkagwpInI1hhQRuRpDiohcjSFFRK7GkCIiV2NIEZGrMaSIyNUYUkTkagwpInI1hhQRuRpDiohcjSFFRK7GkCIiV2NIEZGreca9AxeRZVno9/vo9Xrw+/0IBoOQJGncu0V0LrEkNWK2bUPTNFQqFTx69Ahra2swDGPcu0V0bjGkzoBlWVhdXcVf/vIXPH36FJZljXuX6ADbtmHbNkzTfKfzI943/JAly7LwLg9dsm0blmW98/suK1b3RkxcgJVKBQ8ePEA2m4VpmuPeLRpiWRaazSZ6vR48Hg8CgQDC4fCx3mvbNgzDgK7r0HUdAKCqKlRVhcfz9ttJBGOz2USn00EwGEQoFILP52OTwBEYUmfANE3oug5N06DrOkPKZSzLwg8//IDV1VXk83nMzc0hFAodKyRs20av18Pu7i5WVlZgmiYWFhaQyWSOFVKSJME0Tfz44494/PgxSqUSFhcXMTU1daz3X0Y8KickivySJB16cQ9XC1ikdwdxvnRdx+rqKn788Uf0ej3E43GUSqVjbcM0TWxvb+Pp06d49uwZPB4PotEoIpEIAoHAsd7f6/WwvLyM7777Dv1+H5FIBOl0GpFI5LQf8UJim9QJGYYBTdMwGAycYv8wSZIgyzIkSWJIuYCohpumiW63i3a7jUajgVqthna7fextGIaBpaUl/P3vf8f333+P5eVlbG1todVqHWsbmqZhb28Pu7u7qNVq2NjYwMbGBhqNBjtYjsCQOiHDMNBoNPD8+XOsr68fGkTDJSwG1fhZloVqtYpXr15BlmUkEgm0223UajV0u10Abz5PlmVhMBhgc3MTz58/h23bCIVCqFQqqFarbz3Htm2j1WphZWUFkiShVCrB6/Wi0Wig0Wig3++P9PNeFAypE9J1HdVqFY8ePcLLly9f6yFiI6j7mKaJcrmMR48ewev1Ym5uDh6PB3t7e1hfX0er1XpjT5+maWg2m2i1WrBtGzMzM5iZmcHe3h62t7edtsfDwkqUwur1OlZWVhCJRHD37l1kMhn0ej3U6/Vjl+guG4bUCdi2jX6/77RNrKysHHpxD7dXsSQ1fpZlYWlpCd988w36/T5KpRLm5+dhmibu37+PV69evbGTo9froVwuIxQK4be//S3u3r2Lubk5mKaJVqv1xpKQbdvodDqo1+uo1WrIZDK4c+cOcrmccy01Go2z+NjnHkPqBCRJgmVZ6PV6qNVqaDabR1b3xI8sX8xDbZomBoMBer0eut0uer0eNE3bdzxs24au685rOp0OOp0O2u2289PpdDAYDM50TJmmadjZ2cHq6iokSUKxWMT8/DwURcEPP/yA9fV1mKZ56Lk0DAN7e3sol8sIh8P4/PPP8f7772NiYgKhUAjtdhvLy8uo1+uHfgbbttFsNlGv1zEYDBAOhzE5OYlMJgOv14u9vb1jt2tdNuzdOyFFUeD1eo8cHzMcUBe16mfbNrrdLlqtFnq9HgzDgCRJCIfDSCQS8Pl8kGUZuq6j2Wxid3fXCYHhgYyWZUFRFMRiMcTj8TPp5TJNE+12G7quIxAIOD1qsVgMr169wsbGBmq1GnRdh9/v3/dey7LQarWwvb2NjY0NlEol3Lx5E6FQCDs7O5iYmMDW1hb+9a9/4eOPP8bNmzedTpPhv7+7u4tGowFFUSDLMizLQiqVQiqVQqPRYHXvCL96SInBbO12G7u7u86FffBGPu2Nfdz3i963475eURQYhoFKpYL19XUMBoNDe/DE9qrVKp49e4ZIJAJFUd7awD5Oxx0nZFkWDMPAYDBAtVp1Go57vR5kWUY6nXZKCYFAwGkL+vnnn9HpdGAYBkzThCRJUBTFCal4PI7p6WksLi5CVVVomuaUSoZvehFwooTq8Xheq1YPn1dVVTEYDFCpVODxeHDt2jXkcjn4/X6oqopYLIZEIuE0bIt/H/7MokduMBhAVVUkEglIkoRIJIKZmRlUq1U8f/4cU1NTWFxc3PdeMeyhXq+j1+shkUggFAo5xyqZTGJ9fd3p4fN4PPuuSdG80G630Wq1YBjGvpL5Sa6fd7k/jsuyrH2DY4PB4Dvv12HGElKibv/06VNomuZ84w4fkLcdnOMcvLPYhizLzliZtbU19Ho958YF/neTiM+zs7ODJ0+eIBQKnUlIjTLgjnO8LMuCrutot9tO+8rOzg62t7fRbrdh2zai0SgKhQIWFhaQz+fh9XqxtLSEBw8eYH19He12Gx6Px5l8LY6JoiiYn59Hu92GJEmoVqsYDAYAAK/Xi0gkgnA4jHa7jV6vB1VVEQqFEA6HnZv2YEjJsuyMJm80Gkgmk0in05iYmHA+byqVwuLiIvx+P2q1GsLh8L6QMk0T9XodjUYDqqrC5/M5vwsGgygWi3j27JlTGhKlseEvr8Fg4ITQxMQE4vE4JElCIpFAKpWCrutOL18sFtsXQuJLcW1tDdVqFZqmwev1Huu8ncXvDvu9qNIrioJIJIJSqYS5ubk3buO4fvWQsiwLjUYD5XIZL168QCQSQbFYdKpMwzfxYSWU4zRAi9e8y3uP+p34Rhu++MW8KwBHzv0Srxc3o9frPbRd6l0+j/j7x33fu7xu+LVHvUd8dtM0sbGxgYcPHyIcDqNYLGJ2dtaZbvL06VN8++230DQNqqoilUqhWCzizp07+Prrr9FoNDA/P4+ZmRmkUimoqop2u40ffvgBjUYD9Xody8vLuH//vtPe5/P58Omnn+Lu3bt48eIFVldXkc1mMTU1Ba/XC4/H81qjtwgpn8+HcDjsvNbv9yOdTsPj8UBRFOTzedy4cQPtdhs7OzvIZDJO8IkR4tVqFfV6HYFAYN+gTUVREAwGEY/HndJYu91GIBBwgs4wDHS7Xae6Oz09jUwmA1mWEQqFkEgkkEwmYRgG1tbWYNu2U1ITjfKPHz/G06dPkc/nEYvFoCjKG8/Vca7149wfx71nREhVq1WUy2X87ne/O78hJUpS7XYb3W4XqVQK2WwWXq/XCYPjHqw3/dtxXn/wIB/n9aItwePxoNvtwuv1HrnPon0ml8shEAhAluVTXQjv8rujXvO2waVv+p0IKU3T0Gg0EI/HUSgU8MEHH2BiYgKyLGNzcxNra2tYW1vDjRs3EAgEkE6nkU6nMT8/j1evXqFWq+H69ev46KOPMDU1hWAwiEajgUgkglarBa/Xi3K5jAcPHkDTNOfvz8/PI5PJQNd1bG5uIhQKwePxOEF3cFDtcElKtHcFg0Goqurc5ACQTCZhmiYeP36McrmMQqGAWCzmlIZEKUjXdUxOTiIej+87Jl6vF+l0GrOzs1AUBbVaDZFIBKqqwrIs7O7uolwuo9frIRwOI5vNIhKJQJIkeDwexGIxTExMoFar4eeff4bP50M0GgUAdLtdVCoVVCoVtNttRCIRFAqFI7+sDl7TB8/324LpsNe+7T4bLmFXKhX897//xdWrV197z0mNpeFclmX4/X4kk0kUi0WUSqXXisencVbd/bZtQ1EU55vVtm08e/Zs3wU/TJZlxONxzMzMOG1Sw9ty62j0N5WkRJvilStX8H//939QVRXhcBiBQACapiEQCCCVSsHv9yOXy2FhYQFXrlxBOp1Gu91GNptFNBpFLpfD7Ows5ufnEQgEoOs6rl275gy2lCRpX0B5PB4Ui0V8+OGHeP78OZaXl5HL5TA3N4f33nsPfr9/3+uH99nj8TilLUVRXmsD9fv9iEQi2Nvbw4sXLzA1NYV0Ou2ETKfTQb/fRyAQwNWrV1EoFPb9DY/H45TG6vU6NjY2kEwmEQwGYVkWXrx4gUePHkFRFBQKhdfmCQYCAUxOTqJSqeDhw4fIZDKYmZmBbduo1WpYWlpCNBrFZ599hoWFBaTTaecznPT6GdV1J74ITNNEv99Hp9N57Vo/rbGElLhw/H6/8y0XCATeWJVxU+Oy2L9UKoVoNApVVZ2q3MF2NVHViMfjR7ZJnWZfDvMuHQEnIbZ/8G/s7e1B13WEw2GUSiWUSiUUi0Xnhk8kEggEAk5oiBJNq9VCt9tFPp9HKBRCv9/H9evX8fnnn6PT6cDr9SIajeLGjRtIp9O4cuUKdnd3MTs7i2KxiFQq9cZje1j7yfC/ezweBINBeL1e6LqOWq2Gvb09xGIx7O7u4uXLlxgMBojFYk7IiveKxntRGqpUKtjZ2cH09DSSySRs28bGxgaWlpZw69YtTExM7GvTAn4JyWw2C1VVUa1W0Ww2nYnptVoNq6ur+9r4wuHwkSE1jvtElKS63S4ikciRTRsnNdYhCMMX+sH/dztVVRGNRpHNZpFIJF47KQeHIPyawxHO+m8cdtNrmoZarYaVlRX4/X7cuXMH165dQzKZdNobxU0lqotbW1sAgHK5jHq9jo8++giFQgG5XA5ffPEF8vk8NE2DoigIBAL44IMPIMsyrly54lSJRNvOu3zuw16nqioymQwymQyazSaq1SqKxSKWl5fx8OFD+P1+pFIpp1fu4PYCgQBisRh6vR42NzdRr9eRyWQAwBkDFY/Hkc1mXytleL1exONxRKNRp21NdMjU63VUq1VMT08jl8shGAzu62Ryy71ylmMCxxZS79KT5zaiJJjJZHDv3j3EYrE3jpW66MR4KdEeEQ6H8emnn+LatWvOTSVYloWdnR189dVX+Pnnn5FMJtFsNuHz+ZDL5ZDP55FIJPD+++9jenoalmXta7uRJAkTExNIJBJOaXwUx1iWZUxNTaHVauH58+dYXV3F4uIilpaW8J///AdffPHFoaUg8V7RCO7z+aBpGjY2NqCqKoLBoFMdFCXJw4bbiNJiJpOBoihoNBrodruo1+uwbRuqqsLv9+8bbnFZjC2k3NgW8y4URXG6jw8Wby/6IE5heMxbuVxGuVxGv9/H3Nwcbt++jXg8vq+rXNA0Ddvb29B13RlpHo/HoWmaUyoJBoNIJpOH/t1wOHzsRereRaFQQLfbxdOnT7G5uYlyueysUBCJRJwAOYrP50MqlUIsFkOlUoGmaUin0wiFQlhcXHR6FA8SpY94PI7JyUnIsozt7W1Uq1W0Wi1ks1mnueCiX1OH+dVDavgGPqpX7DwQDbFvCqPhNrbz+jnfRAx+XF1dxT/+8Q80m0189NFHuHnzJtLp9KHFftEAfu/ePXz44YeYmprC+vo66vU6Jicn941P+jVJkoRoNIp8Po98Po/NzU18/fXXaLVazvSXw0pBB7dx5coV9Pt9PHz4EFtbW5iamsL09LRTXVNV9dBtKIqCZDKJqakp9Pt9LC0toVwuI5VK4fbt25iZmTk3U6tG/QV9Pj61C8my7ExvOKyNZvhEXdSQMk0TW1tbePnyJTRNQzabxeLiojPNQ0wDGR6/JKpFc3NzuHXrFm7fvo3PP/8cH3/8MXK53NhWpxTnKxqNYnZ2Fqqq4tGjRzBNE7du3XIGpb5tG9lsFtPT05BlGfV6HVtbW5BlGYVC4cheL0mSnGlB+XwenU4Hq6uraLVaCIVCmJmZQTKZvJSlKIBz987URa3yiWpev9/H8vIyXr58icXFRSwsLCCbzaLRaGBjYwOGYSAej+Pq1avOAEjb/mXJkl6vh16vB9M0kUwmnfaWcVdpVFXF/Pw81tbW8O233zrz9NLp9LH2LRgMOmP/Go2G8xnFrIqjiDF1qVQK3W4XtVoNhUIBhUIB4XB45D3D5wlD6gwcbJO6aBeXJEnodDpOm02z2YRpmjBN0xlr9NNPPyGZTDpjjQBgZ2cHzWYTg8HAmdoC/FLVCYfDrjhOYlrH9PQ0bt++jevXryOXyznTmt5EnO9IJOIMZG2320gmk2/tlpckCX6/H4lEAhMTE9A0DaVSCTMzM05j/UX8wjsOhtQZuqgXlZg1UKlUnCeu9Ho97OzsQFEUrKysYGNjwxkRDgCdTgcbGxuwbRuxWMyZRiG4pdQpetpEOORyOYTD4bdW9YYFAgFcu3YNqVQKu7u7yOVyxxrcKEbHz8/PI5VKYXJy8si2vcuEIXVGxFKzhmG4ooQwKqKqB/wyCFGMoAaAWq3m3OSlUgmzs7NIpVIAgHq9jp2dHczOziKbzSKfz49slvwoybLsTBoW07XeJaCAXzoH4vE4QqEQCoXCW6t6wP++0BRFcQapijmf59Eor3mG1BmQZRnZbBa/+c1vnEZYN5QSRkWM28lkMvD7/ej1etB13anWxeNxpxQiBrqKNpfr1687N75bG4M9Ho+z5MhJiHFdJ92GG8N7nBhSIyZKEu+99x6mp6cRCoUOHaV8XomeqHA4DL/f76wNddj0DFVV4fV6oSgKUqkUwuGwMzhTUZR904mIjsKQGjHxLRqPx53BiGc9l+7XJoJYVEWOM2fO5/O9Nlr7Ih0T2m+U55YhdQYONpJetJvxsGkdRMKorweWtYnI1RhSRORqDCkicrVL2SYl1ukWc+qGH680PB9P/JdtLufb8NxJ0zRfG7smzrGiKIeu3EnjdSlDqtvtotlsotvt7htwKRbtD4VCiEQiznyywyYR0/mh6zr6/T663a6ztv7wJHDRI5tMJhGLxca2EgMd7tKElLgoDcPA5uYmnjx5ggcPHmBra8tZu1xVVaiqisXFRfz+979HsVgc+4RXOh3btjEYDLC8vIx///vfePbsGba3tyHLsjOfzuPxIJFI4A9/+APu3Lkz7l2mAy5VSPX7fezu7uLJkyf46quv8Le//Q0rKyvOVITJyUnnOW+3bt1COp1+7Wm2dL4YhoFyuYzvvvsOf/rTn/Do0SPUajVks1nnKT79ft9ZC+qTTz7hl9IIcFrMCYhlax8/fow///nP+Oabb7C+vo5utwtZlvHZZ5/hj3/8I54/fw5VVZ21uEV7Bi/c80WcM03TcP/+fXz55Zd48OCBs6zvwsIC7t27h8nJSTx58gTffPMNOp3OvqcjkztcqpDa29vDq1evnDWsu92u87t0Oo2rV6+i1+uh3+8DwGsPm6TzxzAMLC0t4ccff0SlUnHWs4pGo5iamkKpVEKlUoFhGBduMvhFcSmGIIjSUL/fR71eR7/ff+1iFI2rwxNl6fyzLAvtdtt5BDwAp0fXMAxomgbDMJzXM6RO57B11E57TC9FSA0/amf4aRss0l8OYqnnUT6wkn49lyKkgF8CKRKJYGJiAoVCAYlEYt9aPfwGvZgURUEul8Pk5KTz6PKLuub8RXVp2qQURUGxWMTdu3dRr9fRaDTwz3/+0/k9L9qLRZSSfT4fPv74Y9RqNXQ6HVSr1X2dIuR+lyakxNKs09PT+PTTT53HgX///feoVqvw+Xys/l1AHo8HCwsL6PV6TgdJtVpFPp93qn8Mq9HjUi0nIC5Er9eLmzdvolAo4IsvvsBf//pXfPnll4jFYs4CbLxoLw5ZlpFOp/HJJ59gYWEBS0tLWFpacgZzAjzfoyKO46i/7C9NSIkDJxakCwaDiEQi+OmnnxCJRJxVIlmauljEE5F9Pp/zmHbLstBsNjmb4Jy4NCF1kHjGmyzLnEh8wYnJw5ZlOWuPi3NP7nepz9KoxnEQ0dm5tCUp0Q0tHmopBnBalrVv6Ra6GIaX5RE/4t/FwE4O4nWnS12SAv73HDlxER/8oYvn4DkW64sxpEZrVA3pl7YkJdYQKhaLuHPnDmZmZhAMBjE1NQVd151nx7Gd6uIQjeiZTAaRSASKoiAYDKJUKuHevXuYmZlhO9WIcBWEEZAkCT6fD1evXkUgEEA2m0U0GsXVq1dhWRZUVUUwGGSP3wUiyzKi0ei+zhKxllgul8P09LTzWHg6nQszTmqc1Snx8Mp8Pu9MkVFVFeFw2HkNe4AuDjF3MxAIOE+UFiEVDAZRKBQQCATg9Xr5pTQCF6okNc6gEsV9Ptb6chh+/PkwVVURiUTGtFcX0yiDnsUEIhopPhyUiC4VhhQRudpYQooNk0R0XCxJEdGZGFWnGEOKiFyNIUVErsaQIiJXY0gR0Uic1ZpsDCkiGikO5iSiS4UhRURngkMQiOhSYEgRkasxpIjI1RhSRORqDCkicjWGFBG52lhDio+MIqK3YUmKiEZmeGoMx0kR0aXAkCIiV2NIEZGrMaSIyNUYUkQ0UlyqhYguFYYUEbkaQ4qIXI0hRUSuxpAiojPBEedEdCkwpIjI1RhSRORqDCkicjWGFBGN1MGlWk7bgM6QIiJXY0gRkasxpIjI1RhSRORqDCkicjWGFBG5GkOKiEbOtm3O3SOiy4EhRUSuNpaQGn6AIBHRm7AkRUQjN8pCCEOKiEbmLGpJDCkicjWGFBGNxFm1MzOkiMjVGFJE5GpjCykxInVUo1KJaPyGG8454pyILgWGFBG5GkOKiFyNIUVErsaQIqKRG2XHGEOKiFyNIUVErsaQIiJXY0gR0chxqRYici0u1UJElwpDiohcjSFFRK7GkCKikeNz94jo0mBIEZGrMaSIyNU84/zjXJWT6GI6bHXOk46fYkmKiM6MZVmwLOtUBRKGFBGdCdu2oes6NE07VUiNtbpHRBeTaZrQdR3A6afJsCRFRCOnaRq63S5s24bH4zlVULEkRUQjJx5tNRgMYJomJEmC1+s9UVixJEVEIyUCSVVV6LqObrcLXddhWdaJtseSFBGNxHDjuKIo8Hq9AADDMF77/btgSBHRyEmSBEVRoCgKDMOAoignbpdiSBHRyIlSUyAQAADIsnz+Qko0rMmyfKoPQETjJ0pOsvxLM7cIKUVRTr3tsTSci2ASXZOnHZFKROMllmaRJAkej8e5t0exZMtYSlKKoiAQCCASicC2bdTrdXQ6HciyfOwPdN5LXm4J5fN+HM8Sj83xiIKGruuwbRvpdBrxeByqqjpBdRq/ekiJYqHH88uf3tnZgWmaTpXvsoSUW4jjyOP5Oh6Td2PbNvb29pBMJpFMJp3evdMex7GElNfrha7r2NraQrVahWEY71zlO683lygSu4loHzyPzvJ4jnK7J92WuCeG33/W19BJti/al2OxGKanpxGPx0e2P2Op7vl8PqRSKczNzSEajaLX68E0TVfewGfBbZ/RbftzUqP+HKOqko9ivw5b+uSsHXe/xX2rKAqSySRKpRKSyeTo9sMeQ+OIYRjQdR39ft8pQY1yTWQi+vWJoFJV1fkZyXbHEVKHLYTFgCK6OEZaVR5HSBERHRcnGBORqzGkiMjVGFJE5GoMKSJyNYYUEbkaQ4qIXI0hRUSuxpAiIldjSBGRqzGkiMjVGFJE5GoMKSJyNYYUEbkaQ4qIXI0hRUSuxpAiIldjSBGRqzGkiMjVGFJE5GoMKSJyNYYUEbkaQ4qIXI0hRUSuxpAiIldjSBGRqzGkiMjVGFJE5GoMKSJyNYYUEbkaQ4qIXI0hRUSu9v+TldUIMoYp8gAAAABJRU5ErkJggg==)
In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become ![left parenthesis e equals 2.718 right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
Maths-
The solution of the differential equation
represent
The solution of the differential equation
represent
Maths-General
physics-
The stress - strain graphs for materials A and B are as shown. Choose the correct alternative
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487101/1/938592/Picture18.png)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460659/1/938592/Picture18.png)
The stress - strain graphs for materials A and B are as shown. Choose the correct alternative
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487101/1/938592/Picture18.png)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460659/1/938592/Picture18.png)
physics-General
physics-
In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is
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)
In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is
![](data:image/png;base64,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)
physics-General
physics-
The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T1 and T2 The variation suggests that
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)
The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T1 and T2 The variation suggests that
![](data:image/png;base64,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)
physics-General
physics-
The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460650/1/938588/Picture15.png)
The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/460650/1/938588/Picture15.png)
physics-General