63. The dark fringe for m = 0 in a Young\'s double-slit experiment is located at
ID: 1308811 • Letter: 6
Question
63. The dark fringe for m = 0 in a Young's double-slit experiment is located at an angle of = 12°. What is the angle that locates the dark fringe for m = 1?
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65. A grating has exactly 7950 lines uniformly spaced over 2.67 cm and is illuminated by light from a mercury vapor discharge lamp. What is the expected angle for the third-order maximum of the green line (? = 546 nm)?
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66. Light of 721 nm can be seen in three orders in a particular grating. About how many slits per centimeter does this grating have?
_________________slits/cm
68. A grating is made of exactly 8000 slits; the slit spacing is 0.65
Explanation / Answer
63)
For dark fringe, lambda/d multiplier = m+0.5
theta1 = 12 d = arcsin(0.5*lambda/d) ==> lambda/d = 2sin(12 d)
theta2 = arcsin(1.5*lambda/d) = arcsin(1.5*2sin(12 d)) = 38.5894 d
65)
d = 0.0267/7950 = 3.35849E-6 m
? = arcsin(m*lambda/d) = 29.19078 deg
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