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NEET2026PhysicsChapterActual

A neutron of mass m and a photon have the same de Broglie wavelength . What is the ratio of the energy of the photon to the kinetic energy of the neutron? (Here c is the speed of light and h is Planck's constant)

Options

  1. Ah 2mc
  2. B2mc h
  3. Cmc h
  4. Dhc 2m

Correct answer

B. 2mc h

Step-by-step solution

The energy of the photon is given by E_p = hc The momentum of the neutron is p = h The kinetic energy of the neutron is E_n = p^2 2m = h^2 2m ^2 The ratio of the energy of the photon to the kinetic energy of the neutron is: E_p E_n = hc h^2 2m ^2 = 2mc h Answer: 2mc h

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