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Q.

Two thin spherical conducting shells are at a large distance apart. One of radius 10 cm carries a charge of +0.5 μC and the other of radius 20 cm carries a charge of+ 0. 7 μC. The charge on each, when they are connected by a suitable conducting wire, is respectively :

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a

+0.4 μC and +0.8 μC

b

+0.425 μC and +0.85 μC

c

+0.5 μC and 0.7 μC

d

0.6 μC and 0.6 μC

answer is A.

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Detailed Solution

Common potential V = total chargetotal capacity=0.5+0.7C1+C2For spherical capacitor, capacity C = 4πε0RQ1=C1V=4πε0R11.24πε0R1R1+R2=0.4μCand Q2=C2V=R21.2R1+R2=0.8μC
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