Question

Blue light with a wavelength λ=475 nm is sent through a single slit with a width of 2.1 micrometers. What is the maximum possible number of bright fringes produced on the screen?

a) 1

b) 2

c) 3

d) 4

Answer 1

The maximum possible number of bright fringes produced on the screen with blue light wavelength λ=475 nm and a single slit width of 2.1 micrometers is 5.

Step-by-step explanation:

The maximum number of bright fringes produced on the screen can be determined using the formula:

Number of bright fringes = (width of the single slit / wavelength of light) + 1

Given that the wavelength of blue light is λ = 475 nm and the width of the single slit is 2.1 micrometers (2.1 μm = 2.1 x 10-6 m), we can calculate the number of bright fringes:

Number of bright fringes = (2.1 x 10-6 m / 475 x 10-9 m) + 1 = 4.42 + 1 ≈ 5

Therefore, the maximum possible number of bright fringes produced on the screen is 5. Since none of the given options matches the calculated number, none of the provided answer choices is correct.