Question

The de-Broglie wavelength '$\lambda$' of a particle

• A. Is proportional to mass
• B. Is proportional to impulse
• C. Is inversely proportional to impulse
• D. Does not depend on impulse

Answer 1

The correct option is C Is inversely proportional to impulse

De Broglie wavelength of the particle $\lambda =\frac{h}{mv}$

We define impulse as the change in the momentum of the particle i.e. $I=mv$

We get $\lambda =\frac{h}{I}$

$⟹$ $\lambda \propto \frac{1}{I}$