Dual Nature Of Light Question 44

Question: A narrow electron beam passes undeviated through an electric field $ E=3\times 10^{4}volt/m $ and an overlapping magnetic field $ B=2\times {{10}^{-3}}Weber/m^{2} $ . If electric field and magnetic field are mutually perpendicular. The speed of the electrons is [MP PET 1995]

Options:

A) 60 m/s

B) $ 10.3\times 10^{7}m/s $

C) $ 1.5\times 10^{7}m/s $

D) $ 0.67\times {{10}^{-7}}m/s $

Show Answer

Answer:

Correct Answer: C

Solution:

$ eE=evB\Rightarrow v=\frac{E}{B}=\frac{3\times 10^{4}}{2\times {{10}^{-3}}}=1.5\times 10^{7}m/s $