You are about to conduct an experiment in the laboratory involving a laser, a glass prism, and a double-slit as shown in Fig. 4. Your professor suggests that you should prepare for the experiment by first doing some theoretical calculations in order to have a point of comparison with the lab data. 1T Slit Screen 60° FIGURE 4 The prism is an equilateral triangle of crown glass and the laser has a (monochromatic) wavelength 660nm, such that n = It is clear that, in order for the light beam to reach the double slit, the beam must emerge at a carefully chosen angle 04 = 30°. 1.512 in the glass. The prism is fixed in the orientation as shown above. (a) Determine 03. (b) What is the value of 02? Hint: Only geometry is needed here. (c) Determine the incident angle of the beam 01.

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You are about to conduct an experiment in the laboratory involving a laser, a glass prism, and a double-slit
as shown in Fig. 4. Your professor suggests that you should prepare for the experiment by first doing some
theoretical calculations in order to have a point of comparison with the lab data.
Slit
Screen
60°
FIGURE 4
The prism is an equilateral triangle of crown glass and the laser has a (monochromatic) wavelength
660nm, such that n =
It is clear that, in order for the light beam to reach the double slit, the beam must emerge at a carefully
chosen angle 04 = 30°.
1.512 in the glass. The prism is fixed in the orientation as shown above.
(a) Determine 03.
(b) What is the value of 02?
Hint: Only geometry is needed here.
(c) Determine the incident angle of the beam 01.
(d) What is the speed of light in the glass?
(e) With the laser aligned correctly, you can now observe an interference pattern form on the screen a
distance D = 30cm behind the double-slit. You measure that the m = 1 bright fringe is at an angle
0 = 1.89° from the original direction of the beam. What is the separation between the slits d?
(f) What are the distances Yı and y2 of the first and second bright fringe (m = 1,2) from the central
maximum at y
0?
Hint: You may assume that 0 is small as was seen in class.
Transcribed Image Text:You are about to conduct an experiment in the laboratory involving a laser, a glass prism, and a double-slit as shown in Fig. 4. Your professor suggests that you should prepare for the experiment by first doing some theoretical calculations in order to have a point of comparison with the lab data. Slit Screen 60° FIGURE 4 The prism is an equilateral triangle of crown glass and the laser has a (monochromatic) wavelength 660nm, such that n = It is clear that, in order for the light beam to reach the double slit, the beam must emerge at a carefully chosen angle 04 = 30°. 1.512 in the glass. The prism is fixed in the orientation as shown above. (a) Determine 03. (b) What is the value of 02? Hint: Only geometry is needed here. (c) Determine the incident angle of the beam 01. (d) What is the speed of light in the glass? (e) With the laser aligned correctly, you can now observe an interference pattern form on the screen a distance D = 30cm behind the double-slit. You measure that the m = 1 bright fringe is at an angle 0 = 1.89° from the original direction of the beam. What is the separation between the slits d? (f) What are the distances Yı and y2 of the first and second bright fringe (m = 1,2) from the central maximum at y 0? Hint: You may assume that 0 is small as was seen in class.
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