Question

The ratio of the time period of two sound waves is 1 :4. What will be the ratio of their frequency?

Answer 1

frequency = 1 / Time period.
hope you get your answer.

Answer 2

Given:

The ratio of the time period of two sound waves is 1 :4.

To find:

Ratio of frequency ?

Calculation:

First of all, let's define the terms :

• Frequency is defined as the total number of oscillations completed in one second.

• Time period is defined as the time taken to complete one full oscillation.

• This means : TIME PERIOD IS A RECIPROCAL TO FREQUENCY !

From the ratio of time periods , let the time periods be 1x and 4x.

• So, their respective frequencies will be 1/1x and 1/4x.

Now, required ratio :

$f1 : f2 = \dfrac{1}{1x} : \dfrac{1}{4x}$

$\implies f1 : f2 = \dfrac{1}{1} : \dfrac{1}{4}$

$\implies f1 : f2 = 4: 1$

So, ratio of frequency is 4 : 1 .