STANDARDPhysics-Wave Optics

STANDARD Physics Young's Double Slit Experiment MCQ Question

Type: MCQ-numerical-Medium-Class 12

In Young's double slit experiment the distance d between the slits S₁ and S₂ is 1 mm. What should the width of each slit be, so as to obtain 10th maxima of the double slit pattern within the central maximum of the single slit pattern?

A

0.9 mm

B

0.8 mm

C

0.2 mm

D

0.6 mm

Correct Answer

Option C

Detailed Explanation

The angular separation between n bright fringes, θₙ = nλ/d. For 10 bright fringes, θ₁₀ = 10λ/d. The angular width of the central maximum in the diffraction pattern due to slit of width a is 2λ/a. Now 10λ/d ≤ 2λ/a or a ≤ d/5 = 1/5 mm = 0.2 mm.

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