MHT CET · Physics · Wave Optics

Of the two slits producing interference in Young's experiment, one is covered with glass so that light intensity passing is reduced to \(50 \%\). Which of the following is correct?

A Intensity of fringes remains unaltered
B Intensity of bright fringe decreases and that of dark fringe increases
C Intensity of bright fringe increases and that of dark fringe decreases
D Intensity of both bright and dark fringes decreases

Verified Solution

Answer & Solution

Correct Answer

(B) Intensity of bright fringe decreases and that of dark fringe increases

Step-by-step Solution

Detailed explanation

\(\therefore \quad\) The intensity of bright fringe decreases and dark fringe increases when one slit is covered. The reason behind this is that the bright fringes are produced when the amplitudes from both slits are in phase and added constructively.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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