SATHEE: Optics Question 862

Optics Question 862

Question: A light of wavelength $6000 \overset{o}{A}$ shines on two narrow slits separated by a distance 1.0 mm and illuminates a screen at a distance 1.5 m away. When one slit is covered by a thin glass plate of refractive index 1.8 and other slit by a thin glass plate of refractive index $μ$ , the central maxima shifts by 0.1 rad. Both plates have the same thickness of 0.5 mm. The value of refractive index $μ$ of the glass is

Options:

A) 1.4

B) l5

C) 1.6

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Change in path difference for any point on screen is $| μ - 1.8 | t .$

For central maxima, phase difference = 0. Hence, $d \sin θ - | μ - 1.8 | t = 0$

$\Rightarrow d θ = | μ - 1.8 | t$ [q is very small and is in radian]

$\Rightarrow | μ - . 1.8 | . = \frac{10^{- 3} \times 0.1}{0.5 \times 10^{- 3}} = 0.2 \Rightarrow μ = 2$ or 1.6

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Optics Question 862

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