Q8 of 92 Page 248

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

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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