Light of wavelength 633 nm from a distant source is incident on a slit 0.750 mm wide, and the resulting diffraction pattern is observed on a screen 3.50 m away. What is the distance between the two dark fringes on either side of the central bright fringe?

Respuesta :

Answer:

y=5.908 mm

Explanation:

Given data

wavelength (Ī»)= 633nm

d(distant source is incident on a slit)=0.750mm

D(diffraction pattern is observed on a screen)=3.50 m

To find

y(What is the distance between the two dark fringes on either side)=?

Solution

For a dark fringe to form

dy/D=Ī»

so

y=(DĪ»)/d...................eq(1)

Put values of D,Ī» and d in eq(1) we get

y={3.50Ɨ(633Ɨ10⁻⁹)}/(0.750Ɨ10⁻³)

y=2.954mm

So the total distance between dark fringes on either side is 2Ɨy

so final distance is

y=5.908 mm