A short derivation is to be completed

PHYSICS · Subjective · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

A short derivation is to be completed. (i) Starting with the definition of kinetic energy

E_{k}=\dfrac{p^{2}}{2m}

for a non-relativistic particle, express its linear momentum

p

in terms of

m

and

E_{k}

. (ii) Hence obtain an expression for the de Broglie wavelength of the particle in the form

\lambda = \dfrac{h}{\sqrt{2mE_{k}}}

. (iii) Using the result of part (ii), calculate the de Broglie wavelength of a neutron of kinetic energy

0.025\,\text{eV}

(take neutron mass

m_{n}=1.675\times10^{-27}\,\text{kg}