Chapter 10, Problem 49R

To determine

The speed of the seismic wave.

Answer to Problem 49R

The required speed is $\boxed{v=6500\text{ m/s}}$ .

Explanation of Solution

Given:

The frequency of seismic wave, $f=\text{ 1}0\text{ Hz}$ and the wavelength is $\lambda =\text{ 65}0\text{ m}$ .

Formula used:

The expression for wavelength of a note is,

$v=f\lambda$   ..... (1)

Here, $\lambda$ is the wavelength of the note, $v$is the velocity of sound and $f$ is the frequency.

Equation (1) is the relation between frequency and wavelength and speed.

Calculation:

Substitute $\text{1}0\text{ Hz}$ for $f$ and $650\text{m}$ for $\lambda$in equation (1),

$\begin{array}{c}v=650\times 10\\ =6500\text{ m/s}\end{array}$

Conclusion:

Hence, the required speed is $\text{65}00\text{ m}/\text{s}$ .