Question

The sound of a man shouting at the top of his lungs from a rather large distance away from your ear has loudness of only 20 decibels. What would be the decibel level of four men shouting at the top of their (equally powerful) lungs from the same distance away from your ear? Assume that there is no interference from superposed waves and round off your answer to the nearest integer. 1. 160 dB 2. 80 dB 3. 60 dB 4. 10 dB 5. 14 dB 6. 6 dB 7. 20 dB 8. 40 dB

Answer 1

Answer:

26dB

Explanation:

The decibel level β is a calculated by 10log (I/Io)

Where I and Io represent sound intensity

From the question, there's no interference. So

Where I = 4Io (because there are 4 men shouting), so the intensity will be 4 times larger.

β = 10log (I/Io)

β = 10log (4Io/Io)

β = 10log 4

β = 6.020599913279623

β = 6 ---- Approximated

The decibel level = 20 + 6.020599913279623

Decibel Level = 26.020599913279623

Decibel level =26dB --- Approximated