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

1
The particle could be moving in a circular orbit with origin as centre
2
The particle could be moving in an elliptic orbit with origin as its centre
3
When the de Broglie wave length is λ1,the particle is nearer the origin than when its value is λ2.
4
When the de Broglic wavelength is λ2, the particle is nearer the origin than when its value is λ1.

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