Magnetic Effects Of Current Question 318

Question: A charged particle is moving in a uniform magnetic field in a circular path. Radius of circular path is R. When energy of particle is doubled, then new radius will be [CPMT 1999; Pb. PET 2002]

Options:

A) $ R\sqrt{2} $

B) $ R\sqrt{3} $

C) 2 R

D) 3 R

Show Answer

Answer:

Correct Answer: A

Solution:

$ r=\frac{\sqrt{2mK}}{qB}\Rightarrow r\propto \sqrt{K} $
$ \Rightarrow \frac{R}{R_{2}}=\sqrt{\frac{K}{2K}}\Rightarrow R_{2}=R\sqrt{2} $