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Q.

Two charged particles 1 and 2 with same velocity, enter a region of uniform magnetic field in a direction perpendicular to the field. If the particles have the same mass, then 

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a

1 is negatively charged and 2 is positively charged.

b

magnitude of charges of both particles are the same.

c

1 is positively charged and 2 is negatively charged.

d

magnitude of charge of 1 is less than the magnitude of charge of 2

answer is D.

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Detailed Solution

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Force on charged particle moving in magnetic field is given by

F=QV×B. This force is the centripetal force. Therefore 1 must carry negative charge and 2 must carry positive charge.

Also trajectories of the particles are circular with radius of curvature γ=VmQBi. Since r1<r2Q1>Q2.

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