laser light hits two very narrow slits that are separated by 0.1mm adn is viewwed on a screen 2m downstream. Sketch on the axis below what the ray theory of light predicts you will observe for this situation

d y / x = m λ

Explanation:

When a laser beam, which is light coherent, hits the slits, part of each beam passes through each slit.

When this is noticed on a screen that is quite far from the slits, a series of intense linear moved apart by dark areas.

The explanation for this distribution of the light pattern is that when adding the rays that come out of the slits they travel different distances, which makes a difference in optical path and if this difference is an integer multiple of the wavelength

a bright line is defined as

d sin θ = m λ

d is the distance between the slits (0.1 mm)

since the angle of the measurements is small, the tangent approximated will be

tan θ = y / x = sin θ / sin θ

sint θ = y / x

Substituting it into the equation

d y / x = m λ is:

The expression that gives the location of the bright lines on the screen

d y / x = m λ

Explanation:

When the laser beam, which is a coherent light, hits the slits, part of each beam passes through each slit.

When this is observed on a screen that is quite far from the slits, a series of intense linear separated by dark areas. The explanation for this distribution of the light pattern is that when adding the rays that come out of the slits they travel different distances, which introduces a difference in optical path and if this difference is an integer multiple of the wavelength, a bright line

d sin θ = m λ

Where d is the distance between the slits (0.1 mm)

Also, since the angle of the measurements is small, we can approximate the tangent

tan θ = y / x = sin θ / sin θ

sint θ = y / x

Substituting into the equation

d y / x = m λ

This expression gives the location of the bright lines on the screen