Assertion :Two sound waves of same intensity in a particular medium will have displacement amplitude in ratio of 2 : 1 if they have frequency in the ratio 1 : 2. Reason: Two wave of same velocity amplitude in a particular medium have equal intensity.

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 but 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
$I = 2 π^{2} ρ f^{2} v A^{2}$
Here $I$ is the intensity of sound wave $, ρ$ is the density $f$ is frequency $, v$ is velocity $, A$ is amplitude.
If we change amplitude in $2 : 1$ and frequency $1 : 2$ , according to the formula no effect will be observe in intensity of sound.
Option "A" is correct.

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