Question

Obtain the expression of de - Broglie wavelength for an unchanged particle in the simplified form. Calculate de - Broglie wavelength for the neutron of temperature T by this expression. $(m_n=1.67\times {10}^{-27}kg)$.

Answer 1

According to de Broglie's equation$,$

$\lambda =h/mv$

Where$,$ $\lambda =$ wavelength of moving particle

$m=$ mass of particle $\left(1.67\times {10}^{-27}\right)$

$v=$velocity of particle

$h=$planck's constant $\left(6.62\times {10}^{-34}\right)$

Substituting the values in the expression of $\lambda :$

$=6.62\times {10}^{-34}/1.67\times {10}^{-27}\left(1/20\right)\times 3\times {10}^8$

$=2.65\times {10}^{-4}$

Hence,

we get,

$\lambda =2.65\times {10}^{-4}.$