What is the Ratio of Slit Distance to Wavelength in Laser Diffraction?

[ghostops]

Homework Statement

After a laser beam passes through two thin parallel slits, the first completely dark fringes occur at ±14.0∘ with the original direction of the beam, as viewed on a screen far from the slits.

A)What is the ratio of the distance between the slits to the wavelength of the light illuminating the slits?
d/lambda = 2.07

B)What is the smallest positive angle, relative to the original direction of the laser beam, at which the intensity of the light is 110 the maximum intensity on the screen?

Θ=

Homework Equations

I = I_ocos²(ø/2)

ø = 2∏dsinθ/λ

The Attempt at a Solution

so for this I solved for phi and then substituted that into the second equation and for this sinθ is ≈θ I just solved for theta in the 2nd equation

for ø= 2cos^-1(√(1/10))
ø=2.498

then ø/(2∏(d/λ)) = Θ

for Θ I got .192 but I can't figure out what I did wrong

thank you in advance

 

[Simon Bridge]

I'm getting the same as you.
Are you expected to give your answer in degrees or radiens?

 

[ghostops]

radians is what we were told to do for all of these problems

 

[Simon Bridge]

What leads you to believe that you've done anything wrong then?