A neutron in thermal equilibrium at a temperature of has an average translational…

PHYSICS · Single correct · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

A neutron in thermal equilibrium at a temperature of

300\,\text{K}

has an average translational kinetic energy of

\tfrac{3}{2}k_{\!B}T

(Boltzmann constant

k_{\!B}=1.38\times10^{-23}\,\text{J\,K}^{-1}

; neutron mass

1.67\times10^{-27}\,\text{kg}

). Calculate its de Broglie wavelength. (a)

1.78\,\text{\AA}

(b)

1.45\,\text{nm}

(c)

1.45\,\text{\AA}

(d)

0.23\,\text{\AA}