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The intensity ratio of waves is 25 : 9. What is the ratio of their amplitudes?
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- 50 : 18
- 25 : 9
- 3 : 5
- 5 : 3
- 50 : 18
Correct Option: D
In general, the intensity of a wave is proportional to the square of its amplitude. This has an important implication: relative intensity can be obtained by squaring relative amplitude.
I α a2
| ∴ | = √ | |||
| a2 | I2 |
| = √ | = | |||
| 9 | 3 |
i.e., a1: a2 = 5:3
So if the intensity ratio is 25:9, the amplitude ratio will be 5:3.
