Q. 134.5( 2 Votes )

A particle moves A. The particle could be moving in a circular orbit with origin as center

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 Broglie wavelength is λ2, the particle is nearer the origin than when its value is λ1.

Answer :

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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