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JEE Main 2021 (27 Jul, Shift 1) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2021 (27 Jul, Shift 1)

Q108JEE Main 2021 · 27 JUL · SHIFT 1Medium

Matter Waves: de Broglie Wavelength

A particle of mass 9.1 ×\times 10−-31 kg travels in a medium with a speed of 106 m/s and a photon of a radiation of linear momentum 10−-27 kg m/s travels in vacuum. The wavelength of photon is __________ times the wavelength of the particle.

Numerical answer type. Work it out, then open the answer.

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Answer: 910

  1. λ=h/p\lambda = h/p, so λphotonλparticle=pparticlepphoton\dfrac{\lambda_{photon}}{\lambda_{particle}} = \dfrac{p_{particle}}{p_{photon}}.
  2. pparticle=9.1×10−31×106=9.1×10−25p_{particle} = 9.1\times10^{-31}\times10^6 = 9.1\times10^{-25} kg m/s
  3. Ratio =9.1×10−2510−27=910= \dfrac{9.1\times10^{-25}}{10^{-27}} = 910
  4. Answer: 910
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