MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Intensity Amplitude Relationship

The ratio of ...

Question

The ratio of amplitudes of two waves having same frequency is $3 : 1$ . Find the ratio of maximum and minimum intensities.

Open in App

Solution

Given : $\frac{A_{1}}{A_{2}} = \frac{3}{1}$
$⟹ A_{1} = 3 A_{2}$
Maximum intensity $I_{m a x} = (A_{1} + A_{2})^{2}$
Minimum intensity $I_{m i n} = (A_{1} - A_{2})^{2}$
Thus ratio of maximum to minimum intensity $\frac{I_{m a x}}{I_{m i n}} = (\frac{A_{1} + A_{2}}{A_{1} - A_{2}})^{2}$
Or $\frac{I_{m a x}}{I_{m i n}} = (\frac{3 A_{2} + A_{2}}{3 A_{2} - A_{2}})^{2}$
Or $\frac{I_{m a x}}{I_{m i n}} = (\frac{4}{2})^{2} = (2)^{2} = 4$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Two waves of equal frequencies have their amplitudes in the ratio of

3 : 5

. They are superimposed on each other. The ratio of maximum and minimum intensities of the resultant wave is

Q. Amplitudes of two light waves of the same frequency are in the ratio

4 : 3

. What will be the ratio of maximum and minimum intensities if the two wave interfere?

Q. Two waves have their amplitudes in the ratio

1 : 9

.The maximum and minimum intensities when they interfere are in the ratio

Q. Two waves of equal frequencies moving in the same direction have their amplitudes in the ratio

7 : 5

. They are superimposed on each other. Find the ratio of maximum to minimum intensity of the resultant wave.

Q. Two wave with same frequency and wave number are propagating in the same direction. The ratio of their amplitude is

5 : 1

. If interference occurs, the ratio of maximum and minimum intensity should be

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Separation

PHYSICS

Watch in App

explore_more_icon

Explore more

Intensity Amplitude Relationship

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon