Question

A particle is dropped from a height $H$ . The de-Broglie wavelength of the particle depends on height as

• A. $H^{-1/2}$
• B. $H^0$
• C. $H^{1/2}$
• D. $H$

Answer 1

Answer: (A)

de-Broglie wavelength $\left(\lambda \right)=\frac{h}{mv}$
$\lambda =\frac{h}{m\sqrt{2gH}}$
Hence, $\lambda \propto H^{-1/2}$