# Single Slit diffraction

1. Apr 19, 2007

### SamTsui86

1. The problem statement, all variables and given/known data
A diffraction pattern is produced on a screen 130 cm from a single slit, using monochromatic light of wavelength 460 nm. The distance from the center of the central maximum to the first-order maximum is 2.20 mm. Calculate the slit width. (Hint: Assume that the first-order maximum is halfway between the first- and second-order minima.)

2. Relevant equations

y1 = L sin (theta) = L (wavelength / a)

3. The attempt at a solution

wavelength = 460 e -9 m
L = .13 m
y = .0022 m
so I found a

.0022 = .13 sin (theta)
sin (theta) = .0169 = (wavelength/ a)

a = .0272 mm

How anyone tell me what I am doing wrong?

2. Apr 19, 2007

### Hootenanny

Staff Emeritus
$$130\;cm \neq 0.13\;m$$

3. Apr 19, 2007