Question

A particle is dropped from a height H. The de-Broglie wavelength of the particle as a function of height is proportional to

• A. $H$
• B. $H\frac{1}{2}$
• C. $H^o$
• D. $H\frac{-1}{2}$

Answer 1

The correct option is D $H\frac{-1}{2}$

Solution :

Velocity $v=\sqrt{2gH}$

$\lambda =\frac{h}{mv}$

$=\frac{h}{m\sqrt{2gh}}$

$\lambda \alpha H^{-1/2}$