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Question: A spherical source of power 4 W and frequency 800 Hz is emitting sound waves. The intensity of waves...

A spherical source of power 4 W and frequency 800 Hz is emitting sound waves. The intensity of waves at a distance 200 m is

A

8×106W/m28 \times 10^{- 6}W/m^{2}

B

2×104W/m22 \times 10^{- 4}W/m^{2}

C

1×104W/m21 \times 10^{- 4}W/m^{2}

D

4W/m24W/m^{2}

Answer

8×106W/m28 \times 10^{- 6}W/m^{2}

Explanation

Solution

Intensity = PowerArea=44π×(200)2=7.9×106W/m2\frac{\text{Power}}{\text{Area}} = \frac{4}{4\pi \times (200)^{2}} = 7.9 \times 10^{- 6}W/m^{2}