Chapter 14, Problem 73A

To determine

The regions of standing waves.

Explanation of Solution

Introduction:

Standing wave is also called as stationary wave. It is the combination of two waves which are moving in opposite direction which each other and have same amplitude and frequency.

When you vibrate a string or a cable it is possible to vibrate it in such a manner that you generate a wave, but the wave does not propagate, it only vibrates up and down in order.

Standing waves do not travel anywhere but they have regions where there is no disturbance. They are called nodes.

The regions where the disturbance is large or intense, they are called antinodes.

In the given example where the sugar particles collects are the region called nodes and the regions where the sugar particles move away, this region is called antinodes.

Conclusion:

Hence, the vibration of the sugar particles shows the formation of a particular region where there is minimum and maximum amplitude can be seen. The points at which the sugar collects have minimum amplitude and they are called nodes. The points at which the sugar moves away has the maximum amplitude it is called antinodes.