Chapter 11, Problem 55P

To determine

To Find: The distance between adjacent node.

Answer to Problem 55P

The distance between two adjacent node is $9.7\times {10}^{-2}\text{ m}$ .

Explanation of Solution

Given info:

Frequency $f=475\text{ Hz}$

Wavespeed $v=92\text{ m/s}$

Formula used:

Write the expression for wave speed.

  $v=f\times \lambda$

Write the expression for the distance between the adjacent nodes.

  $\Delta x=\frac{\lambda }{2}$

Here $\lambda$ is the wavelength.

Calculation:

Substitute the given values in the above equation to get the value of wavelength,

  $\lambda =\frac{v}{f}=\frac{92}{475}=0.1936\text{ m}$

Calculate the distance between the adjacent nodes.

  $\Delta x=\frac{\lambda }{2}=\frac{0.1936}{2}=9.7\times {10}^{-2}\text{ m}$

Conclusion:

Thus, the distance between two adjacent node is $9.7\times {10}^{-2}\text{ m}$ .