Question

A body of mass $m$ is dropped freely from a height $h$. The de-Broglie wavelength of the body as it reaches the ground is:

• A. $\frac{h}{\sqrt{gH}}$
• B. $\frac{h}{m\sqrt{gH}}$
• C. $\frac{h}{2\sqrt{gH}}$
• D. $\frac{h}{m\sqrt{2gH}}$

Answer 1

The correct option is D $\frac{h}{m\sqrt{2gH}}$

We know ,

Velocity$v=\sqrt{2gH}$

$\begin{array}{c}\lambda =\frac{h}{mv}\\ =\frac{h}{m\sqrt{2gH}}\end{array}$

$\therefore$ Option $D$ is correct.