Magnetic Effects Of Current Question 402

Question: 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

Options:

A) the velocity

B) the momentum

C) the kinetic energy

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] As $ r=\frac{mv}{qB}=\frac{P}{qB} $
$ \therefore , $ Area, $ A=\pi r^{2}=\pi {{( \frac{P}{qB} )}^{2}}=\frac{\pi p^{2}}{qB}=\frac{2m\pi }{qB}K $