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Question

# The slits in a double-slit interference experiment are illuminated by orange light (λ=60 nm). A thin transparent plastic of thickness t is placed in front of one of the slits. The number of fringes shifting on screen is plotted versus the refractive index μ of the plastic in graph shown in figure. The value of t is:

A
4.8 mm
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B
640 μm
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C
2.4 μm
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D
none of these
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Solution

## The correct option is B 2.4 μmNumber of fringes shifted N=40, refractive index of plastic μ=2Lateral shift ¯¯¯¯¯X=βλ(μ−1)t and β=¯¯¯¯¯XN∴βN=βλ(μ−1)t⇒t=Nλ(μ−1)=40×60×10−92−1=2.4×10−6=2.4 μm

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