A particle moves in a closed orbit aroun...

A particle moves in a closed orbit arounds the origin, due to a force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values `lamda_(1) and lamda_(2)` with `lamda_(1)gtlamda_(2)`.
Which of the following statements is true ?

the particle could be moving in a circular orbit with origin as centre

The particle could be moving in an elliptic orbit with origin as its focus

When the de-broglie wavelength is `lamda_(1)` the particle is nearer the origin than when its value is `lamda_(2)`

When the de-broglie wavelength is `lamda_(2)`, the particle is nearer the origini than when its value is `lamda_(1)`.

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The correct Answer is:

B, D

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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 particles varies cyclically between two values lambda_(1), lambda_(2) with lambda_(1)gtlambda_(2) . Which of the following statements are true?

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

The particle could be moving in an elliptical orbit with origin as its focus.

When the de Broglie wavelength is `lamda_(1)`, the particle is nearer the origin than when its value is `lamda_(2)`.

Both (a) and (c )