Dual Nature Of Light Question 438

Question: A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy

Options:

A) Is the photon

B) Is the electron

C) Is the uranium nucleus

D) Depends upon the wavelength and the properties of the particle.

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \lambda =\frac{h}{mv}=\frac{h}{\sqrt{2mE}}: $
$ \therefore \ E=\frac{h^{2}}{2m{{\lambda }^{2}}} $ $ \lambda $ is same for all, so $ E\propto \frac{1}{m} $ . Hence energy will be maximum for particle with lesser mass.