1) Draw the intensity profile, including at least 3 maxima, for the specified mu
ID: 2294656 • Letter: 1
Question
1) Draw the intensity profile, including at least 3 maxima, for the specified multiple-slit experiments, ignoring the effects of diffraction.
a) N = 6
b) N = 7
c) N = 8
2) You shine violet light through a diffraction grating (200 lines/cm) on a screen 2.0 m from the grating. The width of the light beam is 0.15 mm. The wavelength of the light is 400 nm.
a) How many slits will the light pass through?
b) What is the angular position of m = 1 maximum?
c) What is the angular position of the 2nd minimum?
SHOW ALL WORK PLEASE
Explanation / Answer
BE VERY CAREFUL WITH UNITS (m vs cm vs mm)
a)
d=1/(200lines/cm)=.005cm=.05mm
.15mm/.05mm= 3 slits
b)
dsin(theta1)=m*lambda
rearrange this to get:
theta1=sin^-1((m* lambda)/d)=sin^-1((1*400*10^-9m)/(5*10^-5))
theta1=.46 degrees
c) theta2=2*theta1= 2*.46=.92 degrees
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