Question

Light of wavelength 503 nm illuminates a round 0.2-mm diameter hole. A screen is placed 4.9 m behind the slit. What is the diameter of the central bright area on the screen in millimeters

Answer 1

30 mm

Step-by-step explanation:

`\lambda` = Wavelength of light = 503 nm

d = Diameter of hole = 0.2 mm

D = Distance of screen from light source = 4.9 m

Diameter of the central bright area is given by

`x=(2.44\lambda D)/(d)\\\Rightarrow x=(2.44* 503* 10^(-9)* 4.9)/(0.2* 10^(-3))\\\Rightarrow x=0.03\ \text{m}=30\ \text{mm}`

The diameter of the central bright area is 30 mm.