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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

Particles will move in circular path, as velocity vector is perpendicular to field. For collision not to take place perpendicular to field.r1+r2
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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).