An electric dipole is formed due to two particles fixed at the ends of a light rigid rod od length I. The mass of each particle is m and charges are -q and +q The system is suspended by a torsionless thread in an electric filed of intensity E such that the dipole axis is parallel to the filed if it is slightly displaced, the period of angular motion is

\frac{1}{2 π} \sqrt{\frac{2 q e}{m l}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 π \sqrt{\frac{m l}{q E}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 π \sqrt{\frac{m l}{2 q E}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1}{2 π} \sqrt{\frac{m l}{4 q E}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $2 π \sqrt{\frac{m l}{2 q E}}$

Suggest Corrections

Similar questions

Q. An electric dipole is formed by two particles fixed at the ends of a light rigid rod of length

l

. The mass of each particle is m and charges are

- q

and

+ q

. The system is suspended by a torsionless thread in an electric field of intensity

E

such that the dipole axis is parallel to the field. If it is slightly displaced, the period of angular motion is :

Q. Shown as electric dipole formed by two particle fixed at the ends of a light rod of length l. The mass of each particle is m and the charges are -q and +q. The system is placed in such a way that the dipole axis is parallel to a uniform electric field E that exists in the region. The dipole is slightly rotated about its centre and released. Show that for small angular displacement, the motion is angular simple harmonic and find its time period.

Q. A point particle of mass

M

is attached to one end of a massless rigid non-conducting rod of length

L

. Another point particle of same mass is attached to the other end of the rod. The two particles carry charges

+ q

and

- q

repectively. This arrangement is held in a region of uniform electric field

E

such that the rod makes a small angle

(θ < 5^{\circ})

with the field direction. The minimum time needed for the rod to become parallel to the field after it is set free. (rod rotates about centre of mass)

Q. Two particles, carrying charges −q and +q and and of mass m each, are fixed at the ends of a light rod of length a to form a dipole. The rod is clamped at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is slightly tilted and then released. Neglecting gravity, find the time period of small oscillations.

Two particles, carrying charges - q and +q and having equal masses m each are fixed at the ends of a light rod of length a to form a dipole. The rod is clamped at an end and is placed in a uniform electric field E with slightly tilted and then released. Neglecting gravity find the time period of small oscillations.

Join BYJU'S Learning Program

The correct option is C 2π√ml2qE

The correct option is C $2 π \sqrt{\frac{m l}{2 q E}}$