Question

If the amplitude of a sound is increased to four times of its initial value then the loudness of sound will be what?

Answer 1

becomes 4 times of its initial value

Answer 2

None of these because the loudness of sound is proportional to the square of the amplitude of the vibrations producing the sound.

Explanation:

• If the frequency of vibration is low then we say that the pitch of the sound is low.
• The loudness of sound depends on the amplitude of the vibrations. When the string is pulled with a greater force, its amplitude is greater.
• Therefore, the loudness of sound is directly proportional to the square of the amplitude that generates the sound. For example, if the amplitude is doubled, the intensity increases by a factor of 4(multiplies four times).

Learn more: Amplitude

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