Question

How many dark fringes will be produced on either side of the central maximum if green light ( λ = 553 nm ) is incident on a slit that is 7.50 μm wide?

Answer 1

To find the number of dark fringes produced on either side of the central maximum, we can use the formula: n = (D * λ) / d. Plugging in the given values, the number of dark fringes produced is approximately 22.

Step-by-step explanation:

To find the number of dark fringes produced on either side of the central maximum, we can use the formula:

n = (D * λ) / d

Where:

n is the number of fringes,

D is the distance between the screen and the slit,

λ is the wavelength of the light, and

d is the width of the slit.

Plugging in the given values:

n = (2 * 7.50 * 10-3 * 553 * 10-9) / 7.50 * 10-6 = 22.12

The number of dark fringes produced on either side of the central maximum is approximately 22.