Chapter 27, Problem 38P

To determine

The wavelength of a 0.21 kg ball travelling at $0.10\text{m/s}$.

Answer to Problem 38P

Solution:

Wavelength of the ball is $2.9\times {10}^{-32}\text{m}$.

Explanation of Solution

Given:

Mass of the ball: $0.23\text{kg}$

Speed of the ball: $0.10\text{m/s}$

Formula Used:

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

Calculation:

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

We can find the wavelength of the travelling ball.

$\begin{array}{l}\lambda =\frac{h}{p}\\ =\frac{h}{mv}=\frac{6.63\times {10}^{-34}\text{J}\text{.s}}{(0.23\text{kg})(0.10\text{m/s})}=2.9\times {10}^{-32}\text{m}\end{array}$