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 Multiple Choice QuestionsMultiple Choice Questions

91.

The de-Broglie wavelength of an electron is the same as that of a 50 keV X-ray photon. The ratio of the energy of the photon to the kinetic energy of the electron is (the energy equivalent of electron mass is 0.5 MeV)

  • 1 : 50

  • 1 : 20

  • 20 : 1

  • 50 : 1


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92.

Consider two particles of different masses. In which of the following situations the heavier of the two particles will have smaller de-Broglie wavelength ?

  • Both have a free fall through the same height

  • Both move with the same kinetic energy

  • Both move with the same linear momentum

  • Both move with the same speed


A.

Both have a free fall through the same height

B.

Both move with the same kinetic energy

D.

Both move with the same speed

The de-Broglie equation is
     λ = hmv = h2mk   m = hλv m  1λ, if hv = constantAgain, hv will be constant only when v is constant.

Thus, in present case the de-Broglie wavelength of heavier particle will be smaller. When the velocities of two particles will be same or both move with same kinetic energy(K).


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