SATHEE: Optics Question 857

Optics Question 857

Question: A plastic sheet (refractive index =1.6) covers one slit of a double slit arrangement meant for the Young’s experiment. When the double slit is illuminated by monochromatic light (wavelength in air $= 6600 \overset{o}{A}$ ), the centre of the screen appears dark rather than bright. The minimum thickness of the plastic sheet to be used for this to happen is:

Options:

A) $3300 \overset{o}{A}$

B) $6600 \overset{o}{A}$

C) $2062 \overset{o}{A}$

D) $5500 \overset{o}{A}$

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Answer:

Correct Answer: D

Solution:

[d] The path difference produced by a sheet $Δ = (μ - 1) t$ .

According to the given condition (for minimum thickness) $(μ - 1) t = \frac{λ}{2}$

$∴ t = \frac{λ}{2 (μ - 1)} = \frac{6600 \times 10^{- 10}}{2 (1.6 - 1)} = 5500 \overset{o}{A}$

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Optics Question 857

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