Chapter 25, Problem 37A

If you triple the frequency of a vibrating object, what will happen to its period?

To determine

To find: The change in time period due to the change in frequency.

Answer to Problem 37A

Time period becomes one third.

Explanation of Solution

Given:

The frequency of a vibrating object is tripled.

Formula used:

The relation between frequency and time period is,

  $f=\frac{1}{T}$

Here,

f is frequency and T is time period

Calculation:

Let initially the frequency is $f_1=f$ , and time period is T₁

Now the frequency is tripled $f_2=3f$ and let the time period will become T₂

  $\frac{f_1}{f_2}=\frac{T_2}{T_1}$

  $\frac{f_{}}{3f_{}}=\frac{T_2}{T_1}$

  $T_1=3T_2$

Conclusion:

Therefore, time period becomes one third.