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Question

The surface area of a vibrating body directly affects the loudness of a sound.


A
True
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B
False
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Solution

The correct option is A True
  1. Loudness of a sound is defined as the measure of the intensity of a wave.
  2. Intensity refers to the energy carried by the wave (by the sound).
  3. Loudness is directly proportional to the square of the amplitude of a sound wave.
  4. LαA2; where L is the Loudness and A is the amplitude.
  5. As, the amplitude of the wave depends upon the area of the vibrating surface, It is reduced by increasing area.
  6. If the surface area of the vibrating body is more as compared, lesser will be the amplitude of the sound and hence the intensity of the sound will be lesser.
  7. Since, intensity is reduced and loudness is the measure of the intensity of a wave, it reduces by increasing the surface area.
  8. Thus, the statement is true.

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