Dual Nature Of Light Question 149

Question: An electron and proton have the same de-Broglie wavelength. Then the kinetic energy of the electron is [Kerala PMT 2004]

Options:

A) Zero

B) Infinity

C) Equal to the kinetic energy of the proton

D) Greater than the kinetic energy of the proton

Show Answer

Answer:

Correct Answer: D

Solution:

$ \lambda =\frac{h}{\sqrt{2mE}}\Rightarrow E\propto \frac{1}{\sqrt{m}} $ $ (\lambda = $ constant) $ \because ,m_{e}<m_{p} $ so $ E_{e}>E_{p} $