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Wave Optics

Question
CBSEENPH12039897
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The wavelength λe of an electron and λp of a photon of same energy E are related by

  • straight lambda subscript straight p proportional to space straight lambda subscript straight e superscript 2
  • straight lambda subscript straight p proportional to space straight lambda subscript straight e
  • straight lambda subscript straight p proportional to square root of space straight lambda subscript straight e end root
  • straight lambda subscript straight p proportional to space fraction numerator 1 over denominator square root of straight lambda subscript straight e end root end fraction

Solution

A.

straight lambda subscript straight p proportional to space straight lambda subscript straight e superscript 2 Wavelength space of space electron comma straight lambda subscript straight e space equals space fraction numerator straight h over denominator square root of 2 mE end root end fraction and space proton space straight lambda subscript straight p space equals space hc over straight E rightwards double arrow space straight lambda subscript straight e superscript 2 space equals space fraction numerator straight h squared over denominator 2 mE end fraction space or space space straight E space equals space hc over straight lambda subscript straight p therefore space space straight lambda subscript straight e superscript 2 space equals space fraction numerator straight h squared over denominator 2 straight m space hc over straight lambda subscript straight p end fraction space rightwards double arrow space space straight lambda subscript straight e superscript 2 space equals space fraction numerator straight h squared over denominator 2 mhc end fraction straight lambda subscript straight p straight lambda subscript straight e superscript 2 space proportional to straight lambda subscript straight p

Some More Questions From Wave Optics Chapter

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.
Is the probability of backward scattering (i.e., scattering of α-particles at angles greater than 90°) predicted by Thomson's model much less, about the same, or much greater than that predicted by Rutherford's model?

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.
Keeping other factors fixed, it is found experimentally that for small thickness t, the number of α-particles scattered at moderate angles is proportional to t. What clue does this linear dependence on t provide?

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