Physics · Wave Optics

JEE Main 2024 — 1 February, Shift 1 — Question 46

A monochromatic light of wavelength 6000 A∘6000\,\mathop{\mathrm{A}}\limits^{\circ} is incident on the single slit of width 0.01 mm . If the diffraction pattern is formed at the focus of the convex lens of focal length 20 cm , the linear width of the central maximum is :

  1. Option A:

    60 mm

  2. Option B:

    24 mm

    Correct
  3. Option C:

    120 mm

  4. Option D:

    12 mm

Answer: B

Step-by-step solution

Linear width

\begin{array}{*{35}{r}}\text{W} & ~=\frac{2\lambda \text{ }\!\!~\!\!\text{ d}}{\text{a}}=\frac{2\times 6\times {{10}^{-7}}\times 0.2}{1\times {{10}^{-5}}} \\{} & ~=2.4\times {{10}^{-2}}=24\text{ }\!\!~\!\!\text{ mm} \\\end{array}

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Wave Optics
Topic
Diffraction of Light Waves
A monochromatic light of wavelength 6000\,mathop A limits ° is… | JEE Main 2024 PYQ with Solution · DhiX AI