Q.

A charge particle  q of mass m  is placed at a distance d from another charge particle -2q of mass 2m  in a uniform magnetic field  B as shown. If particle are projected towards each other with equal speed V0 , the maximum value of projection speed  V0, so that the two particles do not collide is (Assume only magnetic interaction).

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a

qBdm

b

qBd2m

c

2qBdm

d

3qBd2m

answer is B.

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Detailed Solution

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Particles will move in circular path, as velocity vector is perpendicular to field. For collision not to take place perpendicular to field.

r1+r2<d

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or  mvqB+2mv2qB<d or 2mvqB<d or  v<qBd2m

Therefore, maximum speed should be qBd2m .
Hence, choice (b) is correct.
 

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