Q.

A particle of mass m and charge q moving with velocity v enters a region of uniform magnetic field of induction B. Then:

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a

its path in the region of the field is always circular.

b

distance travelled by the particle in time T does not depend on the angle between v and B

c

its path in the region of the field is a straight line if v×B=0

d

its path in the region of the field is circular if v.B=0

answer is B, C, D.

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Detailed Solution

If v.B=0     force is  to velocity as vB

If v×B=0   F=0 so it is straight line.

Since magnetic force does not perfom any work on the particle , by work energy theorem ,speed remains  constant..In this case 

distance travelled = vT

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