# The most proable kinetic energy of thermal neutrons at a temperature of T Kelvin, may be taken equal to kT, where k is Boltzmann constant. Taking the

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The most proable kinetic energy of thermal neutrons at a temperature of T Kelvin, may be taken equal to kT, where k is Boltzmann constant. Taking the mass of a neutron and its associated de-Broglie wavelength as m and lambda_B respectively, state the dependence of lambda_B on m and t.

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De-Broglie wavelength,
lambda=h/p=h/(sqrt(2mK))=h/(sqrt(2mxx(3/2kT)))
:. lambda_B prop 1/(sqrt(mT))