Assertion :Two sound waves of same intensity in a particular medium will have displacement amplitude in ratio of 2 : 1 and 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
$v = ν \times λ$
$I \propto v^{2}$

now for two sound waves of same intensity in a particular medium will have displacement amplitude in ratio of 2 : 1 it they have frequency in the ratio 1 : 2, velocity will be same. and thus Intensity will be same.
Option "A" is correct.

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

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