Concept explainers
If you double the frequency of a vibrating object, what happens to its period?
To estimate: The effect of doubling the frequency of a vibrating object on its period.
Answer to Problem 35A
The period gets halved
Explanation of Solution
Given:
The frequency of a vibrating object is doubled from its original value.
Formula used:
The frequency f of a wave is defined as the number of cycles completed in one second and the fundamental period or period, T is the duration for completing one full cycle. They are related mathematically as,
Thus, frequency is inversely proportional to the time period of a vibration.
Calculation:
Here, the new frequency is double the initial value. Considering this fact in the above equation,
This implies that, when frequency is doubled, the time period gets halved.
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