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>>Motion of a Charge in Magnetic Field
>> $A particle of specific charge alpha is p$

Question

A particle of specific charge $α$ is projected from origin with velocity $v = v_{0} \hat{i} - v_{0} \hat{k}$ in a uniform magnetic field $B = - B_{0} \hat{k}$ . Find time dependence of velocity of the particle :

A

$v_{(t)} = v_{0} cos (α B_{0} t) \hat{i} + v_{0} sin (α B_{0} t) \hat{j} - v_{0} \hat{k}$

B

$v_{(t)} = - v_{0} cos (α B_{0} t) \hat{i} + v_{0} sin (α B_{0} t) \hat{j} + v_{0} \hat{k}$

C

$v_{(t)} = - v_{0} cos (α B_{0} t) \hat{i} + v_{0} sin (α B_{0} t) \hat{j} - v_{0} \hat{k}$

D

$v_{(t)} = v_{0} cos (α B_{0} t) \hat{i} + v_{0} sin (α B_{0} t) \hat{j} + v_{0} \hat{k}$

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Correct option is A)

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