Question

The wavelength of the de-Broglie wave associated with a thermal neutron of mass $m$ at absolute temperature $T$ is given by (here, $K$ is the Boltzmann constant)

• A. $\frac{h}{\sqrt{mK T}}$
• B. $\frac{\sqrt{mK T}}{h}$
• C. $\frac{2h}{\sqrt{3m K T}}$
• D. $\frac{h}{\sqrt{2m K T}}$

Hint:

The de-Broglie wavelength is inversely proportional to the square root of the thermal energy of the particle.

Answer 1

The Correct Option is C

The de-Broglie wavelength of a thermal neutron is given by: \[ \lambda = \frac{h}{\sqrt{3mK T}} \]