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A particle moves in a closed orbit aroun...

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 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 varries cyclists between two valuse 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 elliptic orbit with origin as its focus
    C
    When the de-broglie wavelength is `lambda_(1)`, the particle is nearer the origin than when its value is `lambda_(2)`
    D
    When the de-broglie wavelength is `lambda_(2)`, the particle is nearer the origin than when its value is `lambda_(1)`

  • The de-Broglie wavelength of an electron, an alpha -particle and a proton are lambda_(e), lambda_(alpha), lambda_(p) . Which is wrong from the following:

    A
    `lambda_(e) gt lambda_(p)`
    B
    `lambda_(e ) lt lambda_(p)`
    C
    `lambda_(p) gt lambda_(alpha)`
    D
    `lambda_(e) gt lambda_(p) gt lambda_(alpha)`

  • The de-Broglie wavelength of an electron, an alpha -particle and a proton are lambda_(e), lambda_(a), lambda_(p) . Which is wrong from the following?

    A
    `lambda_(e) gt lambda_(p)`
    B
    `lambda_(e) lt lambda_(p)`
    C
    `lambda_(p) gt lambda_(alpha)`
    D
    `lambda_(e) gt lambda_(p) gt lambda_(alpha)`

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