A particle moves in a closed orbit around the origin, due to a forc...

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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
\( \mathrm{P} \) wavelength of the particle varies cyclically between two values \( \lambda_{1} \),

W \( \lambda_{2} \) with \( \lambda_{1}\lambda_{2} \). 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 \( \lambda_{1} \), the particle is nearer the origin than when its value is \( \lambda_{2} \).
(d) When the de Broglic wavelength is \( \lambda_{2} \), the particle is nearer the origin than when its value is \( \lambda_{1} \).
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