Circular aperture: Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole. A screen is placed 6.3 m behind the slit. What is the diameter of the central bright area on the screen?
A) 15 mm
B) 270 μm
C) 7.7 mm
D) 3800 μm

Question

Quizplus · Accepted Answer

The diameter of the central bright area is given by:$$d = 2.44 \lambda \frac{D}{a}$$where:$$d$$ is the diameter of the central bright area$$\lambda$$ is the wavelength of light$$D$$ is the distance from the aperture to the screen$$a$$ is the diameter of the aperturePlugging in the given values, we get:$$d = 2.44 (500 	imes 10^{-9} 	ext{ m}) \frac{6.3 	ext{ m}}{5.0 	imes 10^{-4} 	ext{ m}} = 15 	ext{ mm}$$

Circular Aperture: Light of Wavelength 500 Nm Illuminates a Round