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tester [92]
4 years ago
12

True or false: a fraction never indicates a ratio.

Physics
1 answer:
antoniya [11.8K]4 years ago
7 0
A fraction ALWAYS indicates a ratio.
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A concert loudspeaker suspended high off the ground emits 32.0 W of sound power. A small microphone with a 1.00 cm^2 area is 52.
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Answer:

Sound Intensity at microphone's position is 9.417\times 10^{- 4} W/m^{2}

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As per the question:

Emitted Sound Power, P_{E} = 32.0 W

Area of the microphone, A_{m} = 1.00 cm^{2} = 1.00\times 10^{- 4} m^{2}

Distance of microphone from the speaker, d = 52.0 m

Now, the intensity of sound, I_{s} at a distance away from the souce of sound follows law of inverse square and is given as:

I_{s} = \frac{P_{E}}{Area} = \frac{P_{E}}{4\pi d^{2}}

I_{s} = \frac{32.0}{4\pi (52.0)^{2}} = 9.417\times 10^{- 4} W/m^{2}

Now, the amount of sound energy impinging on the microphone is calculated as:

If I_{s} be the Incident Energy/m^{2}/s

Then

The amount of energy incident per 1.00 cm^{2} = 1.00\times 10^{- 4} m^{2} is:

I_{s}(1.00\times 10^{- 4}) = 9.417\times 10^{- 4}\times 1.00\times 10^{- 4} = 9.417\times 10^{- 8} J

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