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Ratio of intensities of two waves are given by 4 : 1. Then the ratio of the amplitudes of the two waves is:

1. 2 : 1
2. 1 : 2
3. 4 : 1
4. 1 : 4

Correct answer: 2 : 1

Solution

The intensity of a wave is proportional to the square of its amplitude. If the ratio of intensities is 4:1, the ratio of amplitudes will be the square root of the intensity ratio, i.e., √4:√1 = 2:1.

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