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There exist uniform magnetic field vec(B...

There exist uniform magnetic field `vec(B)=-B_(0)hatk` in region of space with `0ltxltd` and `2dltxlt3d` as shown in the figure. A positive charged particle of mass `m` and charge `q` is projected with velocity `vec(v)=vhat(i)` as shown in the figure. If radius of curvature of path of the charged particle in magnetic field is`R(2dltRlt3d)` then time elapse by charged particle in magnetic field regions is

A

A. `m/(2qB)`

B

B. `m/(qB)sin^(-1)(2d/R)`

C

C. `m/(qB)`

D

D. `m/(qB)sin^(-1)(d/R)`

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B
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