Chapter 9, Problem 47R

To determine

The wavelength of wave travelling on a spring.

Answer to Problem 47R

The wavelength of wave travelling on a spring is $0.1\text{}\text{m}$ .

Explanation of Solution

Given info:

Speed of wave, $v=0.2\text{m}/\text{s}$ .

Time period of wave, $T=0.5\text{s}$

Formula used:

Wave frequency of a wave can be obtained by,

$\text{Wavelength}=\text{Wave}\text{period}\times \text{Wave}\text{speed}$

Calculation:

Substitute the given values in the above equation.

$\begin{array}{c}\text{Wavelength}=\left(0.5\text{s}\right)\times \left(0.2\text{}\text{m}/\text{s}\right)\\ =0.1\text{}\text{m}\end{array}$

Conclusion:

Hence, the wavelength of wave travelling on a spring is $0.1\text{}\text{m}$ .