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Question

Two sound waves, named A and B, are travelling in air. If, wave A has a time period of 2 seconds and an amplitude of 3 cms and wave B has a time period of 3 seconds and an amplitude of 11 cms, then which of the following statements are correct?


A

Wave A is louder than wave B

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B

Wave B has a lower pitch than wave A

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C

Wave A has a lower pitch than wave B

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D

Wave B is louder than wave A

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Solution

The correct options are
B

Wave B has a lower pitch than wave A


D

Wave B is louder than wave A


The pitch of the sound is dependent upon its frequency. If the time period of a wave is more, it means that the wave is taking more time to complete one oscillation, and thus, the number of waves completed in one unit of time (frequency) decreases.

In the given question, wave A has a higher frequency and hence is high pitched. Wave A has a smaller amplitude and hence the loudness of the sound is less.

Wave B has smaller frequency and thus, it is low pitched. The amplitude of wave B is higher and thus, is louder.


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