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Question

A fan at a rock concert is 30 m from the stage, and at this point the sound intensity level is 110 dB.How much energy is transferred to her eardrums each second? (Assume eardrum to be circular with a radius of 10mm)


A

π × 105 JS

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B

2π × 105 JS

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C

0.1 JS

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D

None of these

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Solution

The correct option is A

π × 105 JS


β = 110 dB

β = 10 log (II0) 11010 = log10(I1012)

1011 × 1012 = I

I = 0.1 ω m2

Area of ear drum = π (10 × 103)2

Energy supplied to ear in one second

= intensity × area of ear drum

=0.1 × π × 104

=3.14 × 105 JS


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