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. Which of the following statement are true?

The de Broglie wavelength of the particle varies cyclically between two values λ1, λ2.

This means, the particle is moving in an ellipse with origin as one of its foci.


Let v1 and v2 be the velocities when the de Broglie wavelengths are λ1, λ2 respectively.


We know the de Broglie wavelength of a particle is given by,



So, λ α v-1


λ1 > λ2


Hence, v2 > v1


The velocity is maximum when it is closest to the focus.

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