JEE MAIN - Physics (2024 - 27th January Evening Shift - No. 28)

A parallel beam of monochromatic light of wavelength 5000 $$\mathop A\limits^o$$ is incident normally on a single narrow slit of width $$0.001 \mathrm{~mm}$$. The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of _________ (degree).
Answer
30

Explanation

For first minima

$$\begin{aligned} & \operatorname{asin} \theta=\lambda \\ & \Rightarrow \sin \theta=\frac{\lambda}{a}=\frac{5000 \times 10^{-10}}{1 \times 10^{-6}}=\frac{1}{2} \\ & \Rightarrow \theta=30^{\circ} \end{aligned}$$

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