An electric dipole (dipole moment = p) is placed in a uniform electric field in stable equilibrium position at rest. Now it is rotated by a small angle and released. The time after which it comes to t

Question

An electric dipole (dipole moment = p) is placed in a uniform electric field in stable equilibrium position at rest. Now it is rotated by a small angle and released. The time after which it comes to the equilibrium position again (for first time) is t . If the moment of inertia of the dipole about the axis of rotation is $x \frac{t ^{2} pE}{π ^{2}}$ , then find the value of x.

Answer:

4.00

Solution:

$I \ddot{θ} = - pEθ$

$ω = \frac{pE}{I}$

$t = \frac{T}{4} = \frac{π}{2} \frac{I}{pE}$

$I = \frac{4 t ^{2} pE}{π ^{2}}$

$x = 4$

TestHub · Accepted Answer

I θ ¨ = − pEθ ω = I pE ​ ​ t = 4 T ​ = 2 π ​ pE I ​ ​ I = π 2 4 t 2 pE ​ x = 4

Physics - SHM Question with Solution | TestHub

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