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Q.

Statement 1: When a charging particle is fired in a magnetic field, the radius of its circular path is directly proportional to the kinetic energy of the particle.Statement 2: The centripetal force on the test charge q0 is q0v2 B, where v is the velocity of a practical and B is the magnetic field in which the test charge in fired.

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a

Both statements 1 and 2 are correct

b

Statement 1 is correct statement 2 is incorrect

c

Statement 1 is incorrect statement 2 is correct

d

Both statements 1 and 2 are incorrect

answer is D.

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Detailed Solution

If the path of the charged particle is circular, then radius of circular path is directly proportional to the speed and mass of the particle as r= mvq0B∴   Centripetal  force  = mv2r=q0vBAlso,   r=  2mK/qB
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Statement 1: When a charging particle is fired in a magnetic field, the radius of its circular path is directly proportional to the kinetic energy of the particle.Statement 2: The centripetal force on the test charge q0 is q0v2 B, where v is the velocity of a practical and B is the magnetic field in which the test charge in fired.