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. Whichof the following statement are

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. Whichof the following statement are true?

Options:
(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.
VSA