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Q.

A large insulated sphere of radius r charged with Q units of electricity is placed in contact with a small insulated uncharged sphere of radius  r' and is then separated. The charge on the smaller sphere will now be

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a

Q(r'+r)r'

b

Q(r'+r)r

c

Qrr'+r

d

Qr'r'+r

answer is D.

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Detailed Solution

Let the charge on the smaller sphere be q. As the potential of both will be the same finally,

qr'=Q−qr  or  q=Qr'r+r'

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