SSM In Fig. 35-51 a , the waves along rays 1 and 2 are initially in phase, with the same wavelength λ in air. Ray 2 goes through a material with length L and index of refraction n . The rays are then reflected by mirrors to a common point P on a screen. Suppose that we can vary L from 0 to 2400 nm. Suppose also that, from L = 0 to Ls = 900 nm, the intensity I of the light at point P varies with L as given in Fig. 35-52. At what values of L greater than Ls is intensity I (a) maximum and (b) zero? (c) What multiple of λ gives the phase difference between ray 1 and ray 2 at common point P when L = 1200 nm? Figure 35-52 Problem 87.
SSM In Fig. 35-51 a , the waves along rays 1 and 2 are initially in phase, with the same wavelength λ in air. Ray 2 goes through a material with length L and index of refraction n . The rays are then reflected by mirrors to a common point P on a screen. Suppose that we can vary L from 0 to 2400 nm. Suppose also that, from L = 0 to Ls = 900 nm, the intensity I of the light at point P varies with L as given in Fig. 35-52. At what values of L greater than Ls is intensity I (a) maximum and (b) zero? (c) What multiple of λ gives the phase difference between ray 1 and ray 2 at common point P when L = 1200 nm? Figure 35-52 Problem 87.
SSM In Fig. 35-51a, the waves along rays 1 and 2 are initially in phase, with the same wavelength λ in air. Ray 2 goes through a material with length L and index of refraction n. The rays are then reflected by mirrors to a common point P on a screen. Suppose that we can vary L from 0 to 2400 nm. Suppose also that, from L = 0 to Ls = 900 nm, the intensity I of the light at point P varies with L as given in Fig. 35-52. At what values of L greater than Ls is intensity I (a) maximum and (b) zero? (c) What multiple of λ gives the phase difference between ray 1 and ray 2 at common point P when L = 1200 nm?
63 In Fig. 33-60, light enters a 90°
triangular prism at point P with inci-
dent angle 0, and then some of it
refracts at point Q with an angle of
refraction of 90°. (a) What is the in-
dex of refraction of the prism in
terms of 0? (b) What, numerically,
Air
Q
Figure 33-60 Problem 63.
is the maximum value that the index of refraction can have? Does
light emerge at Q if the incident angle at P is (c) increased slightly
and (d) decreased slightly?
53 SSM www ILW In Fig. 33-53, a ray is incident on one face
of a triangular glass prism in air. The angle of incidence e is chosen
so that the emerging ray also makes the same angle e with the nor-
mal to the other face. Show that the index of refraction n of the
glass prism is given by
sin ( + 6)
sin o
where o is the vertex angle of the prism and is the deviation
angle, the total angle through which the beam is turned in passing
through the prism. (Under these conditions the deviation angle u
has the smallest possible value, which is called the angle of mini-
mum deviation.)
Figure 33-53 Problems 53 and 64.
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.
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