Q. 85.0( 2 Votes )

A particle is projected in a plane perpendicular to a uniform magnetic field. The area bounded by the path described by the particle is proportional to
A. the velocity

B. the momentum

C. the kinetic energy

D. none of these

Answer :

If a charged particle is projected with velocity v on a plane perpendicular to a uniform magnetic field B, then the particle will travel in a circle. Whose radius is where m and q are the mass and the charge of the particle respectively.


So the area enclosed by the path will be A = ϖR2 = = = kinetic energy


Thus, the area will be proportional to the kinetic energy of the particle.

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