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Question

A conducting spherical shell of radius 1 m is charged upto potential of 10 volt. Another conducting spherical shell of radius 2 m is charged upto potential of 10 volt. Now smaller sphere is placed inside the bigger sphere by insulating handle and connect them by a conducting wire

A
No flow to charge between the spheres as same potential
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B
Potential of outer sphere will become 15 volt
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C
Potential of inner sphere will become 6 volt
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D
Both (2) & (3)
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Solution

The correct option is C Potential of outer sphere will become 15 volt
Given
potential of radius 1m sphere is 10V
potential of radius 2m sphere is 10V
We know that
V=KQR
Putting all value in above equation
10=KQ1KQ=10
potential at outer sphere is sum of both sphere potential When both sphere connected by wire.
Potential of another sphere=KQR=102=5V
Sum=10+5=15V

Correct option is B

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