a. Give the derivation for the condition for two-slitinterference. Make sure you use
words and a diagram to communicate the derivation.
b. Based on previous measurements, the lines are at 589.592 nmand 588.995
nm. The diffraction grating is the same one you used in class,600 lines per millimeter.
You shine it on an inexpensive camera like the one in yourphone where the pixels are 1.7
nm apart. To make your measurement, you want to choose thedistance to the camera
such that these two lines are ten pixels apart. If you dothis, and use the known sodium
light calibrate everything well, you will have engineered yourdevice to measure
wavelengths with 0.01% or 0.05 nm precision. Is the distancereasonable ?
c. How much further does the xray bounding off the lower layerneed to go, compared to
the upper layer ? If you see constructive interference at 14.3degrees and the X-rays have
a wavelength of 0.16 nm, what is the spacing between theseatomic layers within the
crystal?
