Question

Loudness is proportional to the square of amplitude.Explain

Answer 1

HEY MATE HERE IS YOUR ANSWER:
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LOUDNESS OF A SOUND IS PROPORTIONAL TO THE SQUARE OF AMPLITUDE. FOR E.G. IF THE AMPLITUDE BECOMES TWICE THEN THE THE LOUDNESS IS INCREASED WITH THE FACTOR OF 4. THE LOUDNESS OF A SOUND IS EXPRESSED IN A UNIT CALLED DECIBEL . IT'S SYMBOL IS DB.

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MATHEMATICAL CALCULATION:

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LOUDNESS = 2
AMPLITUDE =8

IF LOUDNESS BECOMES TWICE :
2*2=4

THEN THE AMPLITUDE BECOMES A FACTOR OF FOUR:
8*4=32

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VERIFICATION
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{TWICE}2/8=4/32
{TWICE}1/4 = 1/8
L.H.S=R.H.S
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HENCE VERIFIED!
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HOPE IT HELPS YOU MATE!

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