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NEET2017PhysicsDual Nature of MatterActual

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m is:

Options

  1. Ah m k T
  2. Bh 3 m k T
  3. C2 h 3 m k T
  4. D2 h m k T

Correct answer

B. h 3 m k T

Step-by-step solution

De-Broglie wavelength, λ = h m v = h 2 m K E = h 2 m 3 2 k T (Since K.E. of a thermal neutron = 3 2 k T ) ⇒ λ = h 3 m k T

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