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A positive charge particle of mass m and...

A positive charge particle of mass m and charge q is projected with velocity v as shown in Fig. If radius of curvature of charge particle in magnetic field region is greater than d, then find the time spent by the charge particle in magnetic field.

A

`(2m)/(qB) sin^(-1)((dqB)/(mv))`

B

`(2m)/(qB) sin^(-1)((mv)/(dqB))`

C

`(m)/(qB) sin^(-1)((dqB)/(mv))`

D

`(m)/(qB) sin^(-1)((mv)/(dqB))`

Text Solution

Verified by Experts

The correct Answer is:
C
`R=(mv)/(qB), sin theta=d/R=(dqB)/(mv)`
`t=(2 pi m)/(qB) (theta)/(qB) theta=(m)/(qB) sin^(_1) [(dqB)/(mv)]`
.
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