JEE Main2015PhysicsWave OpticsActual
A parallel beam of electrons travelling in x - direction falls on a slit of width d (see figure). If after passing the slit, an electron acquires momentum p y in the y - direction then for a majority of electrons passing through the slit (h is Planck's constant):
Options
- A| p y | d < h
- B| p y | d > h
- C| p y | d ≃ h
- D| p y | d > > h
Correct answer
A. | p y | d < h
Step-by-step solution
The electron beam will be diffractive at an angle θ For I st minima d sin ⁡ θ =   λ d sin ⁡ θ =   h p Also p sin ⁡ θ = p y ⇒         d   p y = h ∴ majority of electrons passing through the slit are lying in the central maxima d   p y   < h