Chapter 14, Problem 86A

To determine

The water can be sloshed back and forth in a pan with correct frequency only.

Explanation of Solution

Introduction:

The water in a pan can be sloshed back and forth if the pan is shaken with a frequency equal to the natural frequency of water. This matching of frequency of an object with frequency of another system is called resonance.

The water in the pan has to shake in such a way that the natural frequency of water and the frequency of the moving pan has to match or be equal. The time period of shaking the pan has to be equal to time the water in the pan takes to move back and forth. In this process the water attains a resonant frequency.

Conclusion:

Hence, water in the pan and the pan’s movement must be in resonance.