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An electric dipole has a fixed dipole mo...

An electric dipole has a fixed dipole moment `vec(p)`,which makes angle with respect to X-axis. When subjected to an electric field `E_1=E_1`, it experience a torpue `vec(tau)_1=tau hatk``.When subjected to another electric field E_2=sqrt3E_1 hatl`experiences a torque `vec(tau)_2=tau_1`. The angle `theta`is:

A

`90^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
For `1^(st)` case
`(tau_(1))=PE_(1)sintheta`
For `2^(nd)` case
`(tau_(2))=PE_(2)sin(90-theta)=PE_(2)costheta`
as `E_(1)sintheta=E_(2)costhetaimplies tan theta=(E_(2))/(E_(1))=sqrt(3)impliestheta=60^(@)`.
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