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Question

The wavelength of the de-Broglie wave associated with a thermal neutron of mass m at absolute temperature T is given by:

(k is the Boltzmann constant)

A
hmkT
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B
h2mkT
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C
h3mkT
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D
h2mkT
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Solution

The correct option is B h2mkT
The kinetic energy of the thermal neutron of mass m at absolute temperature T is given by

mv22=kT

p=mv=2mkT

The wavelength of the deBroglie wave associated with the thermal neutron is

λ=h/p=h2mkT.

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