A particle of mass m and charge 'q' is fired, perpendicular to a uniform magnetic field of, induction B. While the particle moves in a circular path in the field, its angular velocity is.

Question

A particle of mass m and charge 'q' is fired, perpendicular to a uniform magnetic field of, induction B. While the particle moves in a circular path in the field, its angular velocity is. (A) (m/Bq) (B) (Bm/q) (C) (Bq/m) (D) (q/Bm)

Tardigrade Admin · Accepted Answer

∵ r=(m v/q B) (v/r)=(q B/m) w=(q B/m)

Q. A particle of mass m and charge 'q' is fired, perpendicular to a uniform magnetic field of, induction B. While the particle moves in a circular path in the field, its angular velocity is.

$\frac{m}{Bq}$

$\frac{B m}{q}$

$\frac{Bq}{m}$

$\frac{q}{B m}$

$∵ r = \frac{m v}{qB}$
$\frac{v}{r} = \frac{qB}{m}$
$w = \frac{qB}{m}$

Q. A particle of mass m and charge 'q' is fired, perpendicular to a uniform magnetic field of, induction B. While the particle moves in a circular path in the field, its angular velocity is.

Bqm​

qBm​

mBq​

Bmq​

∵r=qBmv​ rv​=mqB​ w=mqB​

$\frac{m}{Bq}$

$\frac{B m}{q}$

$\frac{Bq}{m}$

$\frac{q}{B m}$

$∵ r = \frac{m v}{qB}$
$\frac{v}{r} = \frac{qB}{m}$
$w = \frac{qB}{m}$