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JEE Main 202430 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
30 January
Shift
Morning Shift
Subject
Physics
Chapter
Wave Optics

JEE Main 2024 · 30 January · Morning Shift · Physics · Wave Optics

The diffraction pattern of a light of wavelength 400nm diffracting...

The diffraction pattern of a light of wavelength 400nm400nm diffracting from a slit of width 0.2mm0 . 2mm is focused on the focal plane of a convex lens of focal length 100cm100cm. The width of the 1st{1}^{\text{st}} secondary maxima will be :

Options

  1. A2mm2mm
  2. B2cm2cm
  3. C0.02mm0 . 02mm
  4. D0.2mm0 . 2mm

Correct answer

A. 2mm2mm

Step-by-step solution

Width of 1st{1}^{st} secondary maxima =λa⋅D= \dfrac{\lambda}{a} \cdot D

Here

a=0.2×10−3ma = 0 . 2 \times {10}^{- 3}m

λ=400×10−9m\lambda = 400 \times {10}^{- 9}m

D=100×10−2=1mD = 100 \times {10}^{- 2} = 1m

Therefore, width of 1st{1}^{st} secondary maxima

=400×10−90.2×10−3×1= \dfrac{400 \times {10}^{- 9}}{0 . 2 \times {10}^{- 3}} \times 1

=2×10−3m=2mm= 2 \times {10}^{- 3}m = 2mm

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