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A small sphere carrying a charge 'q' is hanging in between two parallel plates by a string of  length L. Time period of pendulum is T0. when parallel plates are charged, the time period changes to T. The ratio T/T0 is equal to

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a

g+qEmg1/2

b

gg+qEm3/2

c

gg+qEm1/2

d

none of these

answer is C.

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Detailed Solution

Net downward force mg′=mg+qE⇒  Effect acceleration g′=g+qEmHence time periodT=2πlg′=2π⋅lg+qEmGiven : T0=2πlg So, TT0=gg+qEm
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A small sphere carrying a charge 'q' is hanging in between two parallel plates by a string of  length L. Time period of pendulum is T0. when parallel plates are charged, the time period changes to T. The ratio T/T0 is equal to