GO In the two-slit interference experiment of Fig. 35-10, the slit widths are each 12.0 µ m, their separation is 24.0 µ m, the wavelength is 600 nm, and the viewing screen is at a distance of 4.00 m. Let I P represent the intensity at point P on the screen, at height y = 70.0 cm. (a) What is the ratio of I P to the intensity I m at the center of the pattern? (b) Determine where P is in the two-slit interference pattern by giving the maximum or minimum on which it lies or the maximum and minimum between which it lies. (c) In the same way, for the diffraction that occurs, determine where point P is in the diffraction pattern.
GO In the two-slit interference experiment of Fig. 35-10, the slit widths are each 12.0 µ m, their separation is 24.0 µ m, the wavelength is 600 nm, and the viewing screen is at a distance of 4.00 m. Let I P represent the intensity at point P on the screen, at height y = 70.0 cm. (a) What is the ratio of I P to the intensity I m at the center of the pattern? (b) Determine where P is in the two-slit interference pattern by giving the maximum or minimum on which it lies or the maximum and minimum between which it lies. (c) In the same way, for the diffraction that occurs, determine where point P is in the diffraction pattern.
GO In the two-slit interference experiment of Fig. 35-10, the slit widths are each 12.0 µm, their separation is 24.0 µm, the wavelength is 600 nm, and the viewing screen is at a distance of 4.00 m. Let IP represent the intensity at point P on the screen, at height y = 70.0 cm. (a) What is the ratio of IP to the intensity Im at the center of the pattern? (b) Determine where P is in the two-slit interference pattern by giving the maximum or minimum on which it lies or the maximum and minimum between which it lies. (c) In the same way, for the diffraction that occurs, determine where point P is in the diffraction pattern.
www In Fig. 35-48,
an airtight chamber of length d
5.0 cm is placed in one of the arms
of a Michelson interferometer. (The
glass window on each end of the cham-
ber has negligible thickness.) Light of
wavelength A = 500 nm is used.
Evacuating the air from the chamber
causes a shift of 60 bright fringes. From
these data and to six significant figures,
81 SSM
Mirror
%3D
Source
Mirror
To vacuum
find the index of refraction of air at
pump
atmospheric pressure.
..40 Go Figure 36-45 gives the pa- ß (rad)
rameter of Eq. 36-20 versus the ßs
sine of the angle in a two-slit inter-
ference experiment using light of
wavelength 435 nm. The vertical axis
scale is set by B, = 80.0 rad. What are
(a) the slit separation, (b) the total
number of interference maxima
(count them on both sides of the
pattern's center), (c) the smallest angle for a maxima, and (d) the
greatest angle for a minimum? Assume that none of the interference
maxima are completely eliminated by a diffraction minimum.
0
sin 0
0.5
1
Figure 36-45 Problem 40.
The double slit experiment is a quintessential wave experiment in physics. Given a third order fringe 5.00 cm away from the central fringe, a double slit with a
separation of 0.0510 mm, and a distance between the slits and the fringes of 1.50 m, find the following.
(a) wavelength
56E-9 X
For a double slit, how is the distance from the central maximum to any constructive interference site (bright fringe) related to the separation of the
slits, distance between the slits and the interference pattern, and the wavelength of the light? nm
(b) separation between adjacent fringes
cm
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