Wave Optics Question 1

Question 1 - 2024 (01 Feb Shift 1)

A monochromatic light of wavelength $6000 \mathring{A}$ 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) $60 mm$

(2) $24 mm$

(3) $120 mm$

(4) $12 mm$

Show Answer

Answer: (2)

Solution:

Linear width

$\begin{aligned} W & =\frac{2 \lambda d}{a}=\frac{2 \times 6 \times 10^{-7} \times 0.2}{1 \times 10^{-5}} \\ & =2.4 \times 10^{-2}=24 mm\end{aligned}$