Assertion :If two waves of same amplitude produce a resultant wave of same amplitude, then the phase difference between them will be $120^{o}$ . Reason: The resultant amplitude of two waves is equal to sum of amplitude of two waves.

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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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
Resultant amplitude is given by $A_{n e t} = 2 A cos (\frac{ϕ_{1} - ϕ_{2}}{2})$
$A_{n e t} = 2 A cos (\frac{ϕ_{1} - ϕ_{2}}{2})$
when $ϕ_{1} - ϕ_{2} = 120^{o}$
$A_{n e t} = 2 A cos \frac{120}{2}$
$A_{n e t} = 2 A cos (60)$
$A_{n e t} = 2 A \times 0.5$
$A_{n e t} = A$
so given assertion is true but reason is incorrect.

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Assertion :If two waves of same amplitude produce a resultant wave of same amplitude, then the phase difference between them will be 120o. Reason: The resultant amplitude of two waves is equal to sum of amplitude of two waves.

The correct option is C Assertion is correct but Reason is incorrectResultant amplitude is given by Anet=2Acos(ϕ1−ϕ22)Anet=2Acos(ϕ1−ϕ22)when ϕ1−ϕ2=120oAnet=2Acos1202Anet=2Acos(60)Anet=2A×0.5Anet=Aso given assertion is true but reason is incorrect.

Assertion :If two waves of same amplitude produce a resultant wave of same amplitude, then the phase difference between them will be $120^{o}$ . Reason: The resultant amplitude of two waves is equal to sum of amplitude of two waves.