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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter

A particle of mass \(9.1 \times 10^{-31}\, {kg}\) travels in a medium with a speed of \(10^{6}\, {m} / {s}\) 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.

  1. A \(730\)
  2. B \(880\)
  3. C \(840\)
  4. D \(910\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(910\)

Step-by-step Solution

Detailed explanation

\(\because\) We know that, de-Broglie wavelength can be given as \(\lambda=\frac{h}{m v}\) \(\therefore\) For particle, \(\lambda_{ pa }=\frac{h}{m v}=\frac{6.6 \times 10^{-34}}{9.1 \times 10^{-31} \times 10^{6}}\) and for photon,…