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

Options

A. H
B. `H^(-1//2)`
C. `H^(0)`
D. `H^(1//2)`

Answer

B

Explanation

When the particle is dropped from height H, then the velocity at lowest point is `v= sqrt(2gH)`
de Broglie's wavelength, `lambda = (h)/(mv)= (h)/(msqrt(2gH))`
`implies lambda prop (h)/(sqrt(H)) or lambda prop H^(-1)/(2)`