Two waves of the same pitch have their amplitude in the ratio $3 : 4$ .
What will be the ratio of their intensities?

Open in App

Solution

Step 1: Given:
The ratio of amplitude = $3 : 4$
Step 2: To calculate the ratio of Intensity of sound
Relation between amplitude and Intensity:
$I n t e n s i t y \propto {(a m p l i t u d e)}^{2}$
⇒ $R a t i o o f I n t e n s i t y = {(R a t i o o f a m p l i t u d e)}^{2}$
⇒ $R a t i o o f I n t e n s i t y = {(\frac{3}{4})}^{2}$
⇒ $R a t i o o f I n t e n s i t y = \frac{9}{16}$
Hence, the ratio of Intensity will be $9 : 16$

Suggest Corrections

Similar questions

Two waves of the same pitch have their amplitudes in the ratio $3 : 4$ .

What will be the ratio of their loudness?

Q. two waves of same pitch have amplitudes in the ratio 1:3. What will the ratio be of their intensities and frequencies?

Two waves of the same pitch have their amplitudes in the ratio of $3 : 4$ . What will be the ratio of their frequencies?

Two waves of the same pitch have their amplitude in the ratio $2 : 3$ . What will be the ratio of their loudness? What will be the ratio of their frequency?

Join BYJU'S Learning Program

Two waves of the same pitch have their amplitude in the ratio3:4.What will be the ratio of their intensities?

Step 1: Given:The ratio of amplitude =3:4Step 2: To calculate the ratio of Intensity of soundRelation between amplitude and Intensity:Intensity∝(amplitude)2⇒ RatioofIntensity=(Ratioofamplitude)2⇒RatioofIntensity=(34)2⇒RatioofIntensity=916Hence, the ratio of Intensity will be 9:16

Two waves of the same pitch have their amplitude in the ratio $3 : 4$ .
What will be the ratio of their intensities?