Assertion :The light waves coming out from two independent sources of light will not have any fixed phase relationship and would be incoherent. Reason: Light wave emitted from an ordinary source (like a sodium lamp) undergoes abrupt phase changes in times of the order of $10^{- 10} s$

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 A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
At any instant, in time there will be places where the intensity is high and places where it will be low. Because the two light sources are not coherent that is to say they do not have a fixed phase relationship, the positions of these light/dark areas changes very rapidly - make a guess of every $10^{- 10}$ second. What you see is a time-averaged intensity - which is the uniform illumination of the screen.

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Assertion :The light waves coming out from two independent sources of light will not have any fixed phase relationship and would be incoherent. Reason: Light wave emitted from an ordinary source (like a sodium lamp) undergoes abrupt phase changes in times of the order of 10−10s

Assertion :The light waves coming out from two independent sources of light will not have any fixed phase relationship and would be incoherent. Reason: Light wave emitted from an ordinary source (like a sodium lamp) undergoes abrupt phase changes in times of the order of $10^{- 10} s$