Magnetic Effects Of Current Question 298

Question: A particle of charge q and mass m moving with a velocity v along the x-axis enters the region x > 0 with uniform magnetic field B along the $ \hat{k} $ direction. The particle will penetrate in this region in the x-direction upto a distance d equal to [MP PMT 1997]

Options:

A) Zero

B) $ \frac{mv}{qB} $

C) $ \frac{2mv}{qB} $

D) Infinity

Show Answer

Answer:

Correct Answer: B

Solution:

It is easy to understand the given problem, along with the following figure. d = radius of path $ =\frac{mv}{qB} $