Assertion :To hear distinct beats, the difference in frequencies of the sounding bodies should be less than $10 H z$ . Reason: The persistence of hearing of sound is $0.1$ sec, so the ear can not distinguish between sounds of frequency more than $10$ Hz.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect and Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
According to the property of persistence of hearing the impression of a sound heard persists on our mind for $\frac{1}{10}$ sec. Therefore, the number of beats per sec should be less than $10$ . Hence the difference in frequencies of the two sources must be less than $10$ .

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Assertion :To hear distinct beats, the difference in frequencies of the sounding bodies should be less than 10 Hz. Reason: The persistence of hearing of sound is 0.1 sec, so the ear can not distinguish between sounds of frequency more than 10 Hz.

Assertion :To hear distinct beats, the difference in frequencies of the sounding bodies should be less than $10 H z$ . Reason: The persistence of hearing of sound is $0.1$ sec, so the ear can not distinguish between sounds of frequency more than $10$ Hz.