In a setup like that in Figure 27.7, a wavelength of 625 nm is used in a Young’s
ID: 1980670 • Letter: I
Question
In a setup like that in Figure 27.7, a wavelength of 625 nm is used in a Young’s double-slit experiment. The separation between the slits is d = 1.4 x 10-5 m. The total width of the screen is 0.20 m. In one version of the setup, the separation between the double slit and the screen is LA = 0.29 m, whereas in another version it is LB = 0.31 m. On one side of the central bright fringe, how many bright fringes lie on the screen in the two versions of the setup? Do not include the central bright fringe in your counting.
Explanation / Answer
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In a setup like that in the figure below, a wavelength of 625 nm is used in a Young's double-slit experiment. The separation between the slits is d = 1.4 10-5 m. The total width of the screen is 0.20 m. In one version of the setup, the separation between the double slit and the screen is LA = 0.24 m, whereas in another version it is LB = 0.49 m. On one side of the central bright fringe, how many bright fringes lie on the screen in the two versions of the setup? Do not include the central bright fringe in your counting.
LA: Number of bright fringes =
LB: Number of bright fringes =
we have that
lamda/a=i/d
so i1=lamda*d1/a=3/280(m)=
i2=7/320.
--------------
we have that
0.1/i1=9.33
so there are 9 bright fringes.
0.1/i2=4.57
so there are 4 bright fringes
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