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Figure shows a standard two slit arrange...

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 (Figure). At `P_(2)` on the screen, there is a hole and behind `P_(2)` is a second 2-slit arrangement with slits `S_(3), S_(4)` and a second screen behind them.

A

There would be no interference pattern on the second screen but it would be lighted

B

The second screen would be totally dark

C

There would be a single bright point on the second screen

D

There would be a regular two slit pattern on the second screen

Text Solution

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The correct Answer is:
D
According to question, there is a hole at point `P_(2)` . From Huygen’s principle, wave will propagate from the sources `S_(1)` and `S_(2)` . Each point on the screen will acts 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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