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Q.

There are two uncharged identical metallic spheres 1 and 2 of radius r separated by a distance $d (d > > r) .$ A charged metallic sphere of same radius having charge q is touched with one of the sphere. After some time it is moved away from the system. Now the uncharged sphere is earthed. Charge on earthed sphere is

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a

$- q r / 2 d$

b

$- q r / d$

c

$- q / 2$

d

q/2

answer is C.

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Detailed Solution

Let third sphere be touched with '1'. Then q/2 charge will be transferred to '1'. Now '2' is earthed. Potential of '2' is zero.

Question Image

$\frac{k q}{2 d} + \frac{k q_{1}}{r} = 0 o r q_{1} = - \frac{q r}{2 d}$

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There are two uncharged identical metallic spheres 1 and 2 of radius r separated by a distance d(d>>r). A charged metallic sphere of same radius having charge q is touched with one of the sphere. After some time it is moved away from the system. Now the uncharged sphere is earthed. Charge on earthed sphere is