if amplitude is increased by 3 times how many times will the loudness increase
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Answer:
Thus, when amplitude of the wave is tripled, the loudness increases nine times.
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Question:
If amplitude is increased by 3 times, how many times will the loudness increase?
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Answer:
We know that,
The loudness of a sound is directly proportional to the square of the amplitude of vibrations. That is,
So,
If amplitude is doubled, then the loudness will become four times. That is,
(Because (2)² = 4)
Now,
If amplitude is tripled or increased by 3 times, then the loudness will become 9 times. That is,
(Because (3)² = 9)
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Final answer:
If amplitude is increased by 3 times, then the loudness will increase 9 times.
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