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An electric dipole is situated in an ele...

An electric dipole is situated in an electric field of uniform intensity `E` whose dipole moment is `p` and moment of inertia is `I`. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscilliations is

A

`((pE)/I)^(1//2)`

B

`((pE)/I)^(3//2)`

C

`(I/(pE))^(1//2)`

D

`(p/(IE))^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Restoring torque
`tau =-pE sin theta implies tau =-pE theta " "` [As `sin theta ~~ theta` ]
`I alpha = -pE theta implies alpha = (-pE)/I theta " "....(i)`
For angular S. H. M.
`alpha =-omega^2 theta" ".....(ii)`
by (i) & (ii)
`omega^2 = (pE)/I implies omega = sqrt((pE)/I)`
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