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Principal of linear superposition

If the ratio of amplitudes of two waves at any point in the me

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If the ratio of amplitudes of two waves at any point in the medium is $1 : 3$ , then the ratio of maximum and minimum intensities because of their superposition will be

Name: Video solution 1: If the ratio of amplitudes of two waves at any point in the medium is 1:3, then the ratio of maximum and minimum intensities because of their superposition will be
Uploaded: 2022-05-08T07:39:24.000Z
Duration: 5 min
Description: Video solution 1: If the ratio of amplitudes of two waves at any point in the medium is 1:3, then the ratio of maximum and minimum intensities because of their superposition will be

2 : 1

3 : 1

4 : 1

2 : 3

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Updated on: May 8, 2022

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If the ratio of amplitudes of two waves at any point in the medium is

1 : 3

, then the ratio of maximum and minimum intensities because of their superposition will be

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Text solutionVerified

Ratio of amplitudes of the two waves is

\frac{A _{1}}{A _{2}} = \frac{1}{3}

.

The maximum intensity of the superimposed waves is

I_{m a x} = (A_{1} + A_{2})^{2} = 16 A_{1}^{2}

.

The minimum intensity of the superimposed waves is

I_{m i n} = (A_{1} - A_{2})^{2} = 4 A_{1}^{2}

The ratio of the max and min intensity is

\frac{I _{m a x}}{I _{m i n}} = \frac{16}{4} = \frac{4}{1}

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Question Text	If the ratio of amplitudes of two waves at any point in the medium is $1 : 3$ , then the ratio of maximum and minimum intensities because of their superposition will be
Updated On	May 8, 2022
Topic	Wave Optics
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	202
Avg. Video Duration	5 min

If the ratio of amplitudes of two waves at any point in the medium is $1 : 3$ , then the ratio of maximum and minimum intensities because of their superposition will be

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