Science, asked by sahibofficial01, 4 months ago

if amplitude is increased by 3 times how many times will the loudness increase​

Answers

Answered by paramjeet621
0

Answer:

Thus, when amplitude of the wave is tripled, the loudness increases nine times.

Answered by Anonymous
7

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,

\boxed {\sf {\pink {Loudness ∝ (Amplitude)^{2}}}}

So,

If amplitude is doubled, then the loudness will become four times. That is,

\boxed {\sf {\green {4\ times\ Loudness ∝ 2(Amplitude)^{2}}}} (Because (2)² = 4)

Now,

If amplitude is tripled or increased by 3 times, then the loudness will become 9 times. That is,

\boxed {\bf {\red {9\ times\ Loudness ∝ 3(Amplitude)^{2}}}} (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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