Magnetic Effects Of Current Question 396

Question: Two electron beams having their velocities in the ratio 1 : 2 are subjected to identical magnetic fields acting at right angles to the direction of motion of electron beams. The ratio of deflection produced is:

Options:

A) 2 : 1

B) 1 : 2

C) 4 : 1

D) 1 : 4

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Since, magnetic field is acting at right angles to the direction of motion of electron beams, so their paths will be circular. $ r=\frac{mv}{qB} $ or $ r\propto v $
$ \therefore ,\frac{r_{1}}{r_{2}}=\frac{v_{1}}{v_{2}}=1/2 $ or $ r_{1}:r_{2}=1:2 $