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Q.

The intensity of sound wave while passing through an elastic medium falls down by 10% as it covers one metre distance through the medium. If the initial intensity of the sound wave was 100 decibels, its value after it has passed through 3 metre thickness of the medium will be

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a

70 decibel

b

72.9 decibel

c

81 decibel

d

60 decibel

answer is B.

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Detailed Solution

After passing the 3 meter intensity is given by I3=90100×90100×90100×I=72.9% of ISo, the intensity is 72.9 decibel.
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The intensity of sound wave while passing through an elastic medium falls down by 10% as it covers one metre distance through the medium. If the initial intensity of the sound wave was 100 decibels, its value after it has passed through 3 metre thickness of the medium will be