If the uncertainty in the position of a particle is equal to its de-Broglie wavelength, the minimum uncertainty In its velocity should be

Options

A. `1/(4pi)`
B. `v/(4pi)`
C. `v/(4pi m)`
D. `(mv)/(4pi)`

Answer

D

Explanation

`Delta X.m. Deltav ge h/(4pi)`
or `lambda.m.Deltav ge h/(4pi)`
or `h/(mv) m. Deltav ge h/(4pi)`
or `Deltav ge v/(4pi)`