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At a distance of 100 feet from a point source of noise, the sound level was measured at 100 dB. What is the sound level at 10 feet?

A. 91 dB
B. 97 dB
C. 106 dB
D. 120 dB

Answer :

Final answer:

The sound level at 10 feet from a point source of noise that measures 100 dB at 100 feet is 1 dB.

Explanation:

The sound level at a distance of 100 feet from a point source of noise is measured as 100 dB. To find the sound level at 10 feet, we can use the inverse square law, which states that the sound intensity is inversely proportional to the square of the distance from the source. Since the distance is decreasing from 100 feet to 10 feet, the sound level will increase. The inverse square law can be expressed as:

Sound level at distance 1 / Sound level at distance 2 = (distance 2 / distance 1)^2

Plugging in the values, we get:

Sound level at 10 feet / 100 dB = (10 feet / 100 feet)^2

Sound level at 10 feet = 100 dB x (10/100)^2

Sound level at 10 feet = 100 dB x (1/10)^2

Sound level at 10 feet = 100 dB x (1/100)

Sound level at 10 feet = 1 dB

The sound level at 10 feet is A. 91 dB.

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