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Q.

Two copper spheres of radii R and 2R are carrying same charge. When the spheres are kept at a separation, force experienced by each sphere is F. Now the two spheres are brought in contact with each other and then kept at the same separation. This time the force experienced by each sphere is

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a

9 F/8

b

8 F/9

c

5 F/4

d

4 F/9

answer is B.

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Detailed Solution

Initially if a Q be the charge on each sphere, then F=kQ2/d2As Capacitance of the larger sphere is twice the capacitance of the smaller sphere, final charge on the smaller sphere is Q1=2Q/3 and that on the larger sphere is Q2=4Q/3.∴F1=K.(2Q/3)(4Q/3)d2=89F.

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