What will be the effect on the loudness of sound if the amplitude is doubled or halved?

*remember that ** loudness is directly proportional to the square of amplitude... * so when amplitude is doubled ,,loudness increases four times.. when it is halved ,,,loudness is halved,,,

Answered by Anonymous | 2024-06-10

When the amplitude of a sound is doubled, the sound becomes more powerful and the loudness increases. Similarly, when the amplitude is halved, the sound becomes less powerful and its loudness decreases. In terms of decibels (dB), the unit of measure for sound intensity levels, doubling the intensity of a sound equates to an increase of about 3 dB. Conversely, halving the intensity of a sound results in a decrease of about 3 dB. For example, if we have a sound at 53.0 dB and its intensity is doubled, the new sound intensity level will be approximately 56.0 dB. If a sound at 100 dB has its intensity halved, the new sound level will be around 97.0 dB.

Answered by Qwshop | 2024-06-24

Doubling the amplitude of a sound wave increases its loudness by a factor of four, while halving the amplitude decreases the loudness to one-quarter of the original. This relationship is due to the fact that loudness is proportional to the square of the amplitude. Thus, changes in amplitude have significant effects on how we perceive sound intensity.
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Answered by Anonymous | 2024-12-24