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JEE Main 2023Physics Optics

hard
mcq
2023
Official previous-year question

Verified 30 May 2026.

Question

In a single slit diffraction pattern, the angular width of the central maximum is $0.1\,\text{rad}$. If the slit width is $20\lambda$, the value of $\lambda$ in terms of slit width $a$ is:

Options

  1. A

    $\frac{a}{10}$

  2. B

    $\frac{a}{20}$

  3. C

    $\frac{a}{40}$

  4. D

    $\frac{a}{5}$

Solution

Angular width of central maximum $= \frac{2\lambda}{a}$

$$0.1 = \frac{2\lambda}{a} \Rightarrow \lambda = \frac{0.1a}{2} = \frac{a}{20}$$

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