Question

which of the following is false for loudness of sound and amplitude of vibration? A. loudness of sound depends on its amplitude of the vibration B. loudness of a sound is proportional to the sqaure of the amplitude of the vibration producing the sound C. when the amplitude of vibration is large, the sound produced is loud D. if the amplitude of vibration is increased to 4 times of its initial value, then the loudness of sound becomes 6 times of its initial value​

Answer 1

The statement that is false is D. if the amplitude of vibration is increased to 4 times of its initial value, then the loudness of sound becomes 6 times of its initial value​.

• We can define amplitude as a measure of loudness in a voice.
• The larger the amplitude of vibration, more will be the loudness of the sound.
• The loudness of a sound is directly proportional to the square of the amplitude of vibration.
• Hence, if the amplitude is increased to 4 times of its initial value, then the loudness will the square root of 4 i.e 16 times more.
• Hence, statement D is false.

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Answer 2

Explanation:

D. if the amplitude of vibration is increased to 4 times of its initial value, then the loudness of sound becomes 6 times of its initial value