JEE Main 2018PhysicsWave OpticsDiffraction And Doppler Effect Of LightmediumMCQ

JEE Main 2018Wave Optics Question with Solution

From: JEE Main 2018 (Offline)

Question

The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 m. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young’s fringes can be observed on a screen placed at a distance 50 cm from the slits. If the observed fringe width is 1 cm, what is slit separation distance? (i.e. distance between the centres of each slit.)

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Show full solutionCorrect option: B
Correct answer
B25 m

Step-by-step explanation

JEE Main 2018 (Offline) Physics - Wave Optics Question 136 English Explanation

Given 2 = 60o

= 30o

We know,

sin = n

for first minima n = 1,

At first minima

sin =

106 sin 30o =

= m

Now after making a new slit,

Fringe width, =

given, D = 50 cm and = 1 cm.

1 102 =

d = 25 106 m = 25 m.

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About this question

This is a previous-year question from JEE Main 2018, covering the Wave Optics chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.