Question

What do Equations 1 and 2 predict will happen to the single-slit diffraction pattern (intensity, fringe width, and fringe spacing) as the slit width is increased.
Equation 1:
Sinθ = mλ/ω

Equaiton 2:
I= Io [Sinθ (πωλ/πωλ/Rλ)

Answer 1

Answer:

the firtz agrees with the expression for the shape of the curve of diracion of a slit

Explanation:

The diffraction phenomenon is described by the expression

              a sin θ = m λ

where a is the width of the slit, t is the angle from the center of the slit, l is the wavelength and m is an integer that corresponds to the maximum diffraction.

the previous equation qualitatively describes the curve of the diffraction phenomenon the equation takes the form

             I = I₀ [(sin ππ a y / R λ) / π a y / Rλ]²

             I = I₀ ’[sin π a y /Rλ]²

             I₀ ’= I₀ / (π a y /Rλ)²

By reviewing the two expressions given

equation 1

 w sin θ = m λ

where w =a  w   is the slit width

we see that the firtz agrees with the expression for the shape of the curve of diracion of a slit

Equation 2

the squares are missing