Chapter 5.2, Problem 16SSC

Interpretation Introduction

Interpretation:

The difference between wavelength of visible light and wavelength of moving soccer ball is to be stated.

Concept introduction:

In a waveform signal, the shortest distance between the two adjacent highest points is termed as wavelength. The highest point is termed as crest. The wavelength is measured in angstrom $\left(\stackrel{\text{o}}{\text{A}}\right)$ or nanometer (nm). Wavelength is represented by the symbol $\lambda$.

Answer to Problem 16SSC

The wavelength of moving soccer ball is too small to detect.

Explanation of Solution

The relation between wavelength $\left(\lambda \right)$ and mass $\left(m\right)$ is shown below.

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

Here, $h$ is the Planck’s constant. The wavelength $\left(\lambda \right)$ is inversely related to mass $\left(m\right)$.

The visible light has very low mass. Therefore, the wavelength of visible light is high and can be detected. The moving soccer ball has relatively large mass. Therefore, the wavelength is relatively low and cannot be detected. Therefore, the wavelength of the moving soccer ball is smaller than the wavelength of visible light.

Conclusion

The wavelength of the moving soccer ball is smaller than the wavelength of visible light.