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Mechanical & Non-Mechanical Waves

The intensity...

Question

The intensity of a sound wave gets reduced by 20% on passing through a slab. The reduction in intensity on passing through two such consecutive slabs is

A

40%

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B

36%

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C

30%

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D

50%

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Solution

The correct option is D 36%
$I_{0}$ reduces by 20% after passing through 1st slab.
$∴ I_{1} = 0.8 I_{0}$
$I_{2} = 0.8 I_{1} = 0.8 * (0.8 I_{0}) = 0.64 I_{0}$
Hence, loss in intensity is 0.36 i.e 36%.

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