Chapter 27, Problem 39P

To determine

The wavelength of a neutron travelling at $8.5\times {10}^4\text{m/s}$.

Answer to Problem 39P

Solution:

Wavelength of the neutron is $4.7\times {10}^{-12}\text{m}$.

Explanation of Solution

Given:

Mass of the neutron: $1.67\times {10}^{-27}\text{Kg}$

Speed of the neutron: $8.5\times {10}^4\text{m/s}$

Formula Used:

$\lambda =\frac{h}{p}$

Calculation:

By using the formula $\lambda =\frac{h}{p}$

We can find the wavelength of the travelling neutron.

$\begin{array}{c}\lambda =\frac{h}{p}\\ =\frac{h}{mv}=\frac{6.63\times {10}^{-34}\text{J}\text{.s}}{(1.67\times {10}^{-27}\text{kg})(8.5\times {10}^4\text{m/s})}=4.7\times {10}^{-12}\text{m}\end{array}$