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Green light of wavelength 540 nm is incident on two slits that are separated by

ID: 1271926 • Letter: G

Question

Green light of wavelength 540 nm is incident on two slits that are separated by 0.65mm .

1. Determine the frequency of the light

2. Determine the angles of the first two maxima of the interference pattern.

3. What can you change in order to double the distance between the 0th and the first bright spot on the screen?

a. Reduce by one-half the separation between the screen and the slits. b. Double the separation between the screen and the slits. c. Reduce by one-half the slit separation. d. Double the slit separation

Explanation / Answer

1)
f = c/?


f = 3x10^8/540x10^-9 = 5.5x10^14 Hz

2)
dsin? = k?
? = arcsin(k?/d)

then
?1 = arcsin(?/d)
?1 = arcsin(540x10^-9/0.65x10^-3)
?1 = 0.04759 degree

?2 = arcsin(2?/d)
?2 = arcsin(2*540x10^-9/0.65x10^-3)
?2 = 0.09519 degree


3)

b. Double the separation between the screen and the slits
c. Reduce by one-half the slit separation