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YDSE Problems II

The shift of ...

Question

The shift of the interference pattern on the screen when the slit is displayed by $S l = 1 m m$ along the arc of radius $r$ with centre at $0$ .

A

4 m m

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B

6 m m

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C

10 m m

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D

13 m m

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Solution

The correct option is D $13 m m$
The mirror will rotate by $\frac{△ l}{r}$ or rotation of reflected ray $= \frac{△ l}{r}$ shift in fringe magnitude
$= \frac{b △ l}{r}$ $= 1.3 \times (10)^{2} = 13 m m$

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