Q.

A thin metallic shell of radius ‘a’ carrying a charge ‘-Q’ is concentrically placed inside another thin metallic shell of radius ‘2a’ carrying a charge ‘+Q’ now the two shells are connected by a then wire. Then select the correct option.

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a

Final charge on the inner sphere is -Q/2

b

Final charge on the outer sphere is +2Q/3

c

Entire energy stored in the system will be converted into heat

d

Part of the energy stored in the system will be converted into heat

answer is C.

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Detailed Solution

When the shells are connected by a wire the whole charge of  inner shell will flow to the outer shell. As a result charge on both shells will be zero. Since charge stored in the system is zero,  energy stored in the system is converted into heat energy.
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A thin metallic shell of radius ‘a’ carrying a charge ‘-Q’ is concentrically placed inside another thin metallic shell of radius ‘2a’ carrying a charge ‘+Q’ now the two shells are connected by a then wire. Then select the correct option.