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Dual Nature of Radiation and Matter · Question 25

JEE Main 2025 (Online) 28th January Morning ShiftMCQEasy📈 Topic in 35% papers+4−1
1

A proton of mass 'mp' has same energy 'E' as that of a photon of wavelength ' '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is

  1. 1c Emp
  2. 1c 2Emp
  3. 12c Emp
  4. 1c E2mp

Answer

(4) 1c E2mp

Solution

Proton (non-relativistic): p = 2mpE

p = h 2mpE

Photon: E = hc = hcE

p = h 2mpE Ehc

= Ec 2mpE = 1c E2mp

Answer: (4)

JEE Main 2025 (Online) 28th January Morning Shift

Keep practising — Dual Nature of Radiation and Matter

2

Which of the following phenomena cannot be explained by wave theory of light?

  1. Refraction of light
  2. Reflection of light
  3. Diffraction of light
  4. Compton effect
JEE Main 2025 (Online) 28th January Evening Shift

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