Question

A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values λ₁, λ₂ with λ₁>λ₂. Which of the following statement are true? 

(a) The particle could be moving in a circular orbit with origin as centre 

(b) The particle could be moving in an elliptic orbit with origin as its focus. 

(c) When the de Broglie wave length is λ₁, the particle is nearer the origin than when its value is λ₂. 

(d) When the de Broglic wavelength is λ₂, the particle is nearer the origin than when its value is λ₁.

Answer 1

(b), (d)

(b) The particle could be moving in an elliptic orbit with origin as its focus. 

(d) When the de Broglic wavelength is λ₂, the particle is nearer the origin than when its value is λ₁.