A particle of mass m and charge q, moving with velocity v enters region II normal to the boundary as shown in the figure. Region II has a uniform magnetic field B perpendicular to the plane of the paper. The length of the Region II is $ℓ$ . Choose the correct choice (s).

Question

TestHub · Accepted Answer

The radius of circle of path of charged particle is

$R = \frac{mV}{qB}$

For particle to enter region III $R > ℓ$ or $\frac{mV}{qB} > ℓ$

For path length of particle in region II to be maximum

$ℓ = R$ or $V = \frac{q ℓ B}{m}$

The period of revolution of charged particle is

$ω = \frac{qB}{m}$

The time spent in region II is $t = \frac{π}{ω} = \frac{πm}{qB}$ , which is same for all the cases when it returns to region II.

Physics - Magnetism Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion