Dual Nature Of Light Question 83

Question: In an electron gun, the electrons are accelerated by the potential V. If e is the charge and m is the mass of an electron, then the maximum velocity of these electrons will be [MP PMT 1987, 96; BHU 1995; MNR 1998]

Options:

A) $ \frac{2eV}{m} $

B) $ \sqrt{\frac{2eV}{m}} $

C) $ \sqrt{\frac{2m}{eV}} $

D) $ \frac{V^{2}}{2em} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ eV=\frac{1}{2}mv^{2}\Rightarrow v^{2}=\frac{2eV}{m}\Rightarrow v=\sqrt{\frac{2eV}{m}} $