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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 ?

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

D

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

Text Solution

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The correct Answer is:
B, D
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Knowledge Check

  • 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?

    A
    The particle could be moving in a circular orbit with origin as centre.
    B
    The particle could be moving in an elliptical orbit with origin as its focus.
    C
    When the de Broglie wavelength is `lamda_(1)`, the particle is nearer the origin than when its value is `lamda_(2)`.
    D
    Both (a) and (c )

  • Which one of the following graphs in following figure represents variation of de Broglie wavelength (lamda) of a particle having linear

    A
    B
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    D
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    1. A particle moves in a closed orbit arounds the origin, due to a force ...

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