Ncert Exercises & Solutions

The figure shows a standard two-slit arrangement with slits \(S_1, S_2. P_1, P_2\) are the two minima points on either side of \(P\) as shown in the figure.

At \(P_2\) on the screen, there is a hole and behind \(P_2\) is a second \(2\text-\)slit arrangement with slits \(S_3, S_4\) and a second screen behind them.

1.	There would be no interference pattern on the second screen but it would be lighted.
2.	The second screen would be totally dark.
3.	There would be a single bright point on the second screen.
4.	There would be a regular two-slit pattern on the second screen.

(d) Hint: The interference occurs when the sources are coherent sources.

According to the question, there is a hole at point

P_{2}

. From Huygen’s principle, the wave will propagate from the sources

S_{1}

and

S_{2}

. Each point on the screen will act as secondary sources of wavelets. Now, there is a hole at point

P_{2}

(minima). The hole will act as a source of fresh light for the slits,

S_{3} and S_{4}

.Therefore, there will be a regular two-slit pattern on the second screen.

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