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Writer's picturekeshprad

PhysicsBowl 2019 Q31


31) Given the intensity level at 15 meters, we want to find what happens to the intensity level when the speaker is moved to 2 meters. Make sure to note we are not talking about the intensity, but rather the sound level, which is traditionally approximated with this logarithmic scale.

Where SL is sound level, and I is intensity

Using this equation, we can find the sound intensity at 15 meters.

Where I is intensity

Next, knowing that intensity is inversely related to area, we can find the intensity at 2 meters.

Where I is intensity, P is power, A is area, and r is distance

Finally, if we plug this back into our sound level equation, we can find the intensity level.

Where SL is sound level, and I is intensity

Answer: E

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