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A particle is dropped from a height H. T...

A particle is dropped from a height H. The de Broglie wavelength of the particle as a function of height is proportional to

A

H

B

`H^((1)/(2))`

C

`H^(0)`

D

`H^(-(1)/(2))`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Statement I: If the kinetic energy of particles with different masses are same, then the de Broglie wavelength of the particles are inversely proportional to their mass Statement II: Momentum of moving particles is inversely proportional to their de Broglie wavelengths.

    A
    Statement I is true, statement II is true, statement II is a correct explanation for statement I
    B
    Statement I is true, statement II is true, statement II is not a correct explanation for statement I
    C
    statement I is true, statement II is false
    D
    statement I is false, statement II is true
  • 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 lamda_(1), lamda_(2) " with " lamda_(1) gt lamda_(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 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 origin than when its value is `lamda_(1)`
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