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Matter Waves: de Broglie Wavelength question from NEET 2017

Q131NEET 2017Medium

Matter Waves: de Broglie Wavelength

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

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Answer: (a)

In thermal equilibrium, $K = \frac{3}{2}kT$ .
$p = \sqrt{2mK} = \sqrt{3mkT}$
$\lambda = \dfrac{h}{p} = \dfrac{h}{\sqrt{3mkT}}$
So the answer is (a).

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