Chapter 11, Problem 61P

To determine

To find: The speed of the water wave.

Answer to Problem 61P

The speed of the water wave is $1.105\text{m/s}$ .

Explanation of Solution

Given Information:

The frequency of the water wave, $\mathrm{f}=0.85\text{Hz}$ .

Length of the water tube, $\mathrm{l}=65\text{cm}$

Concept used:

Write the expression for the speed.

  $\mathrm{v}=\mathrm{\lambda }\mathrm{f}$

Here, $\mathrm{\lambda }$ is the wavelength of the water wave,

  $\mathrm{f}$ is the frequency of the water wave.

Calculation:

As per the statement,

Here, $\mathrm{\lambda }=2\mathrm{l}$

Putting the value of $\mathrm{\lambda }$

  $\mathrm{v}=2\mathrm{l}\times \mathrm{f}$

Substitute the values in the above expression.

So, $\mathrm{v}=2(0.65\text{m})(0.85\text{Hz})$

  $\mathrm{v}=1.105\text{m/s}$

Conclusion:

The speed of the water wave is $\mathrm{v}=1.105\text{m/s}$ .