Magnetic Effects Of Current Question 334

Question: An $ \alpha $ particle and a proton travel with same velocity in a magnetic field perpendicular to the direction of their velocities, find the ratio of the radii of their circular path [AIIMS 2004; DCE 2001, 03; Kerala PMT 2005]

Options:

A) 4 : 1

B) 1 : 4

C) 2 : 1

D) 1 : 2

Show Answer

Answer:

Correct Answer: C

Solution:

$ r=\frac{mv}{qB}\Rightarrow \frac{{r_{\alpha }}}{r_{p}}=\frac{{m_{\alpha }}}{m_{p}}\times \frac{q_{p}}{{q_{\alpha }}}=\frac{4}{1}\times \frac{1}{2}=\frac{2}{1} $