The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin)…

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m is:
  1. hmkT
  2. h3mkT
  3. 2h3mkT
  4. 2hmkT

Solution

De-Broglie wavelength,
λ=hmv =h2mKE =h2m32kT
(Since K.E. of a thermal neutron=32kT)
⇒λ=h3mkT

Asked in: NEET 2017

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