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Marguerite turns up the sound on her computer speakers by 3 dB to play her favourite song. How much louder would this sound be to Genevieve who is in the next cubicle next? a! just as loud b! twice as loud c! three times as loud d! five times as loud

User Klvs
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Final answer:

A 3 dB increase in sound intensity leads to the sound being twice as loud, so Genevieve would experience a sound intensity that is twice as loud in comparison to before the increase.

Step-by-step explanation:

When Marguerite turns up the sound on her computer speakers by 3 dB to play her favourite song, the sound intensity doubles. The decibel (dB) scale is logarithmic, not linear, and a change of 3 dB represents a doubling of the sound intensity. Therefore, for Genevieve who is in the next cubicle, the sound would be twice as loud. In terms of energy striking the ear, a 3 dB increase does not lead to the sound being three, five, or exactly as loud as before; rather, it is precisely twice as intense.

To summarize using specific examples, a factor of five in intensity corresponds to a difference of 7 dB in sound intensity level, and a factor of ten in intensity corresponds to 10 dB. So, for a change of 3 dB, the increase in intensity is by a factor of two, which means the sound energy striking Genevieve's eardrum is double.

User Gerwin
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