Question

Using a 681 nm wavelength laser, you form the diffraction pattern of a 0.109 mm wide slit on a screen. You measure on the screen that the 14th dark fringe is 9.51 cm away from the center of the central maximum. How far is the screen located from the slit?

Answer 1

The distance between the screen and slit is 1.08 m

Step-by-step explanation:

Given that,

Wavelength = 681 nm

Width a= 0.109 mm

Number of fringe n = 14

Distance from the center of the central maximum d= 9.51 cm

We need to calculate the distance between the screen and slit

Using formula of distance

`D=(d* a)/(n\lambda)`

Where, a = width

d = distance from the center of the central maximum

`\lambda` = wavelength

Put the value into the formula

`D=(9.51*10^(-2)*0.109*10^(-3))/(14*681*10^(-9))`

`D = 1.08\ m`

Hence, The distance between the screen and slit is 1.08 m