Figure 35-56 a shows two light rays that are initially in phase as they travel upward through a block of plastic, with wavelength 400 nm as measured in air. Light ray r 1 exits directly into air. However, before light ray r 2 exits into air, it travels through a liquid in a hollow cylinder within the plastic. Initially the height L liq of the liquid is 40.0 μ m, but then the liquid begins to evaporate. Let φ be the phase difference between rays r 1 and r 2 once they both exit into the air. Figure 35-56 b shows φ versus the liquids height L liq until the liquid disappears, with φ given in terms of wavelength and the horizontal scale set by L s = 40.00 μ m. What are (a) the index of refraction of the plastic and (b) the index of refraction of the liquid? Figure 35-56 Problem 92.
Figure 35-56 a shows two light rays that are initially in phase as they travel upward through a block of plastic, with wavelength 400 nm as measured in air. Light ray r 1 exits directly into air. However, before light ray r 2 exits into air, it travels through a liquid in a hollow cylinder within the plastic. Initially the height L liq of the liquid is 40.0 μ m, but then the liquid begins to evaporate. Let φ be the phase difference between rays r 1 and r 2 once they both exit into the air. Figure 35-56 b shows φ versus the liquids height L liq until the liquid disappears, with φ given in terms of wavelength and the horizontal scale set by L s = 40.00 μ m. What are (a) the index of refraction of the plastic and (b) the index of refraction of the liquid? Figure 35-56 Problem 92.
Figure 35-56a shows two light rays that are initially in phase as they travel upward through a block of plastic, with wavelength 400 nm as measured in air. Light ray r1 exits directly into air. However, before light ray r2 exits into air, it travels through a liquid in a hollow cylinder within the plastic. Initially the height Lliq of the liquid is 40.0 μm, but then the liquid begins to evaporate. Let φ be the phase difference between rays r1 and r2 once they both exit into the air. Figure 35-56b shows φ versus the liquids height Lliq until the liquid disappears, with φ given in terms of wavelength and the horizontal scale set by Ls = 40.00 μm. What are (a) the index of refraction of the plastic and (b) the index of refraction of the liquid?
A ray of white light traveling through air enters a block of glass that has an index of refraction of 1.44 for the red end of the spectrum and 1.46 for the violet end. If the ray has an angle of incidence of 60.0 degrees with respect to the normal of the interface boundary, what's the angular separation between the red and violet ends of the spectrum within the glass?
The index of refraction of a glass rod is 1.48 at T = 20.0°C and varies linearly with temperature, with a coefficient of 2.50 x 10-5/C°. The coefficient of linear expansion of the glass is 5.00 x 10-6/C°. At 20.0°C the length of the rod is 3.00 cm. A Michelson interferometer has this glass rod in one arm, and the rod is being heated so that its temperature increases at a rate of 5.00 C°/min. The light source has wavelength λ = 589 nm, and the rod initially is at T = 20.0°C. How many fringes cross the field of view each minute?
92 Figure 35-56a shows two light rays that are initially in phase
as they travel upward through a block of plastic, with wavelength
400 nm as measured in air. Light ray r, exits directly into air.
However, before light ray r, exits into air, it travels through a liquid
in a hollow cylinder within the plastic. Initially the height Lúq of the
liquid is 40.0 um, but then the liquid begins to evaporate. Let o be
the phase difference between rays r, and r, once they both exit into
the air. Figure 35-56b shows versus the liquid's height Lig
until the liquid disappears, with o given in terms of wavelength and
the horizontal scale set by L, = 40.00 µm. What are (a) the index of
refraction of the plastic and (b) the index of refraction of the
liquid?
60
L'ia
20
- Plastic
L,
Liq (um)
(a)
(6)
(Y) ¢
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