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Question

A charged particle is projected with velocity υ0 along positive xaxis. The magnetic field B is directed along negative zaxis between x=0 and x=L. The particle direction of projection. Find the velocity with which the same particle is projected (at x=0) along positive x axis so that when it emerges out (at x=L), the angle made by it is 30with the direction of projection


A

2v0

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B

v02

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C

v03

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D

3v0

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Solution

The correct option is D

3v0


sinθ=Lr=Lmv/Bq
v1sinθ
or vv0=sin60°sin30°
v=3v0

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