# With the info given, what are 3 ways to calculate wavelength?

## Homework Statement

In an investigation into single-slit diffraction, a laser is used to produce an interference pattern on a screen. With the following information determine the wavelength of the light in 3 different ways.
· The angle to the third dark fringe is 2.6˚.

· The distance from the slits to the screen is 3.00 m.

· The distance from the center of the central maximum to the second dark fringe is 9.0740 cm.

· The distance from the first maximum to the third maximum is 9.072 cm.

· The width of the slit is 0.0500 mm.

## Homework Equations

I know it is a single slit problem therefore:
sintheta=(n)(wavelength)/(w)
y/L=(n)(wavelength)/(w)
Don't know the 3rd

## The Attempt at a Solution

Sin(theta)=n(wavelength)/w
Sin(theta)(w)/n=wavelength
Wavelength=(sin2.6)(5.0x10^-5)/3
Wavelength=7.56x10^-7m

y/L=(n)(wavelength)/w
wavelength=wy/nL
wavelength=(5.0x10^-5)(0.09074)/2(3)
wavelength=7.56x10^-7m

I don't know the 3rd equation
Thanks for the help

RPinPA