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

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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 λ12. 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.

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(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.