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 frequency of its oscillation is

Options

A. `((pE)/(I))^(1//2)`
B. `((pE)/(I))^(3//2)`
C. `((I)/(pE))^(1//3)`
D. `((P)/(E))^(1//2)`

Answer

C

Explanation

`t_(net)=q(d/2) times E +qe (d/2)`
`t_(net)=qd times E` ,br> `t= pE sin theta and t =I a implies Ia=Pe sin theta`
`I=(PE)/a. theta` [form all `theta,sin theta theta`] , `omega=sqrt( theta/a)=sqrt(I//PE)`