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A particle with charge +Q and mass m ent...

A particle with charge `+Q` and mass m enters a magnetic field to magnitude `B` existing only of the right of the boundary `YZ` The direction of the motion of the particle is perpendicular to the direction of `B` Let `T =2pi(m)/(QB)` The time spent by the particle in the field will be
.

A

`Ttheta`

B

`2Ttheta`

C

`T((pi +2theta)/(2pi))`

D

`T((pi -2theta)/(2pi))`

Text Solution

Verified by Experts

The correct Answer is:
C
`(T)/(2pi) =(t)/(alpha)`
`t = (T)/(2pi) alpha`
`alpha + pi - 2theta = 2pi`
`alpha = pi + 2theta`
From (1) and (2)
`t = (T)/(2pi).(pi + 2theta)`
.
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