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Question

Two sound waves - A and B are travelling in air. If the wave A has a time period of 2 s and an amplitude of 3 cm, and the wave B has a time period of 3 s and an amplitude of 11 cm, 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 a sound depends on its frequency. Higher the pitch, higher the frequency. Also, frequency is equal to the inverse of time period. So, if the time period of a wave is more, it means its frequency is less, and hence it also has a lower pitch. So, wave B has a lower pitch than wave A.

Loudness depends on the amplitude. Larger the amplitude, louder is the sound. So, wave B is louder than wave A.

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