A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin…

Q: 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 wavelength is  λ1, the particle is nearer the origin than when its value is  λ2

(d) When the de-Broglie wavelength is  λ2 the particle is nearer the origin than when its value is  λ1

Ans: (b) & (d)