Question

By how much will the loudness of a sound change when the amplitude of
vibrations is : (a) doubled? (b) halved?

Answer 1

Amplitude is doubled then, the loudness of the sound becomes 4 times increased. and If the amplitude is tripled, then the loudness is 9 times increased.

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Answer 2

Loudness of sound is directly proportional to square of amplitude.

• As the amplitude of a sound wave is increased, it's loudness will increase at double the rate. This is because greater the amplitude, more is the penetrating power and hence louder the sound.
• When the amplitude is doubled, loudness of sound increases by 4 times.
• When the amplitude is halved, loudness of sound becomes 1/4th.