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Question

# A Young's double slit experiment is being performed by illuminating the two slits with a monochromatic source of light. When a glass plate of thickness 24 μm is placed in front of one of the slits, the entire pattern shifts through a distance of 5 mm. What should be the thickness of the glass plate made of the same material so that the pattern shifts by 15 mm?

A
8 μm
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B
12 μm
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C
48 μm
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D
72 μm
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Solution

## The correct option is D 72 μmWhen a glass plate is placed in front of one of the slits, the shift (S) in the interference pattern is given by, S=Dd(μ−1)t As all other parameters are constant, ⇒S1S2=t1t2 5×10−315×10−3=24×10−6t2 ∴t2=72×10−6 m=72 μm Hence, (D) is the correct answer.

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