An electric dipole is formes by two equal and opposite charges q with separation d. The charges have same mass m. It is kept in a uniform electric field E. If it is slightly rotated from its equilibrium orientation, then its angular frequency \omega is

  • Option 1)

    \sqrt{\frac{qE}{md}}

     

  • Option 2)

    \sqrt{\frac{2qE}{md}}

  • Option 3)

    2\sqrt{\frac{qE}{md}}

  • Option 4)

    \sqrt{\frac{qE}{2md}}

 

Answers (1)

 

Oscillation of dipole -

T=2\pi \sqrt{\frac{I}{PE}}

- wherein

I - Moment of Inertia of dipole.

 

 

\omega^{2}=\frac{PE}{I}=\frac{qd(E)}{\frac{md^{2}}{4}+\frac{md^{2}}{4}}= \frac{2qdE}{md^{2}}

\omega=\sqrt{\frac{2qE}{md}}


Option 1)

\sqrt{\frac{qE}{md}}

 

Option 2)

\sqrt{\frac{2qE}{md}}

Option 3)

2\sqrt{\frac{qE}{md}}

Option 4)

\sqrt{\frac{qE}{2md}}

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