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A particle of specific charge alpha is p...

A particle of specific charge `alpha` is projected from origin with velocity `v=v_0hati-v_0hatk` in a uniform magnetic field `B=-B_0hatk`. Find time dependence of velocity and position of the particle.

A

`vecv(t)=v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj-v_0hatk`

B

`vecv(t)=-v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj+v_0hatk`

C

`vecv(t)=-v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj-v_0hatk`

D

`vecv(t)=v_0cos (alphaB_0t)hati+v_0sin(alphaB_0t)hatj+v_0hatk`

Text Solution

Verified by Experts

The correct Answer is:
a

`vecv=v_0cos thetahati+v_0sin thetahatj-v_0hatk`
where `theta=omegat=(qB_0)/mt=alphaB_0t`
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