The next three questions refer to the graph of light intensity vs. position of t
ID: 1302988 • Letter: T
Question
The next three questions refer to the graph of light intensity vs. position of the probe shown below. The graph was made with a laser pointer (650 nm) shined through two very narrow slits separated by a small distance. The slits were 3 meters away from the probe.
ANSWER BOTH PLEASE
What is the separation of the slits in millimeters?
What is the width of the slits in millimeters?
The next three questions refer to the graph of light intensity vs. position of the probe shown below. The graph was made with a laser pointer (650 nm) shined through two very narrow slits separated by a small distance. The slits were 3 meters away from the probe. 2-slit diffraction 400 300 200 100 40 30 -2010 0 20 30 40 position [mm]Explanation / Answer
Light of wavelength 680 nm falls on two slits and produces an interference pattern in which the fourth-order fringe is 48 mm from the central fringe on a screen 1.5 m away. What is the separation of the two slits? Solution. for constructive interference, the path difference is a multiple of the wavelength: dsin ? = m?, m = 0, 1, 2, . . . We find the location on the screen form y = Ltan ? For small angles, we have sin ? = tan ?, which igves y = L(m?/d) = mL?/d For the fourth order we have 48 x 10-3 m = (1.5 m)(680 x 10-9 m)(4)/d, which gives d = 8.5 x 10-5 m = 0.085 mm.
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