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A charged particle with charge to mass ratio `((q)/(m)) = (10)^(3)/(19) Ckg^(-1)` enters a uniform magnetic field `vec(B) = 20 hat(i) + 30 hat(j) + 50 hat(k) T` at time t = 0 with velocity `vec(V) = (20 hat(i) + 50 hat(j) + 30 hat(k)) m//s`. Assume that magnetic field exists in large space.
The frequency (in Hz) of the revolution of the particle in cycles per second will be

A

`(10^3)/(pisqrt(38))`

B

`(10^4)/(pisqrt(38))`

C

`(10^4)/(pisqrt(19))`

D

`(10^4)/(2pisqrt(19))`

Text Solution

Verified by Experts

The correct Answer is:
B
`f=(qB)/(2 pi m) = (10^3)/(19) xx (sqrt(3800))/(2 pi) = (10^(4))/(pisqrt(38))`.
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