Electrostatics Question 254

Question: 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 [UPSEAT 2003]

Options:

A) (pEI)1/2

B) (pEI)3/2

C) (IpE)1/2

D) (pIE)1/2

Show Answer

Answer:

Correct Answer: A

Solution:

When dipole is given a small angular displacement q about it’s equilibrium position, the restoring torque will be

τ=pEsinθ=pEθ (as sinq = q) or Id2θdt2=pEθ (as τ=Iα=Id2θdt2 )

or d2θdt2=ω2θ

with ω2=pEI

therefore ω=pEI



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