12th Class Physics Photo Electric Effect, X- Rays & Matter Waves

  • question_answer 50)
      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  and.Which of the following statement 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, the particle is nearer the origin than when its value is (d) When the de Broglie wavelength is the particle is nearer the origin than when its value is

    Answer:

      The de-Broglie wavelength of the particle can be varying cyclically between two values  and  if particle is moving in an elliptical              orbit with origin as its one focus. Refer Fig. 7(EP).l. Let ,be the speed of particle at A and B respectively and origin is at focus . If ,  are the de-Broglie wavelengths associated with particle while moving at A and B respectively.  Then              and                    ; Since    From figure we note that origin  is close to P than A. Thus options (b) and (d) are true.


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