Question

Using a 683 nm wavelength laser, you form the diffraction pattern of a 1.1 mm wide slit on a screen. You measure on the screen that the 14 th dark fringe is 8.71 cm away from the center of the central maximum. How far is the screen located from the slit?

Answer 1

.x = 10 m

Step-by-step explanation:

The diffraction phenomenon is described by the mathematical expression,

a sinθ = m λ

Where a is the width of the slit, m the direction order and Lam the wavelength.

In these experiments the angles are very small.

tan θ = sin tea / cos θ = y / x

sin θ = y / x

We substitute

y / x = m λ

x = a y / m λ

Let's apply this expression to our case

Lam = 683 nm = 683 10⁻⁹ m

a = 1.1 mm = 1.1 10⁻³ m

m = 14

y = 8.71 cm = 0.0871 m

Let's calculate

X = 1.1 10⁻³-3 0.0871 / 14 683.10⁻⁹-9

x = 1 101

.x = 10 m