PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 40P
To determine
The critical angle for total internal reflection.
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A light ray is incident at an angle x on the top surface of a block of plastic with n = 1.49.
Find the maximum value of x for which the refracted ray undergoes total internal reflection at point P at the left vertical interface of the block.
Assume the block is immersed in water (nWATER = 1.33 ).
The index of refraction of the core of a piece of fiber optic cable is 1.72. If the index of the
surrounding cladding is 1.41, what is the critical angle for total internal reflection for a light ray
in the core incident on the core-cladding interface?
a 55.1°
b 44.0⁰
c 49.6°
d 60.6°
When light goes from an unknown plastic into water (n = 1.33), it exhibits total internal reflection at a critical angle of 57.7o. What is the index of refraction of the plastic?
Chapter 31 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10P
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- Curved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.arrow_forwardCarbon disulfide (n2 = 1.63) is poured into a container made of crown glass (n1 = 1.52). What is the critical angle for internal reflection of a ray in the liquid when it is incident on the liquid-to-glass surface?arrow_forwardA block of glass has an index of refraction equal to n_g=1.68. The glass is surrounded by oil which has an index of refraction of n_o=1.28. What is the largest incident angle (deg) possible in the glass before the ray undergoes total internal reflection?arrow_forward
- White light is incident from air onto a triangular prism at a 45.0° angle with respect to the normal. It refracts into the prism then back into air as it exits the prism. From there, it enters a thick glass plate. The prism has an index of refraction of 1.49 for red light and 1.52 for violet light. The glass has an index of refraction of 1.61 for red light and 1.64 for violet light. What is the angular separation (dispersion angle) of the two noted colors while in the glass slab? Take nair = 1.00 for all wavelengths. white light 45 air prism 45 90 air 60 degrees violet light Glass red light angular separationarrow_forwardThe critical angle for a total internal reflection at air and glass interface is 39.0°. What is the speed of light in this glass? (c = 3.00×108 m/s)arrow_forwardThe bottom of a glass bottom boat allows tourists to see the coral reefs in Australia. The indices of refraction are as follows: air(n=1), glass(n=1.55), water(n=1.330).If a light ray coming from above hits the glass at an angle of 60.0deg to the normal, what is the refracted angle (deg) inside the water?arrow_forward
- A 1.0-cm-thick layer of water stands on a horizontal slab of glass. Light from within the glass is incident on the glass-water boundary. What is the maximum angle of incidence for which a light ray can emerge into the air above the water?arrow_forwardLight enters at right angle through one of the catheti of a right-angle isosceles prism which is made of glass with an index of refraction of 1.620. Because the angle of the ray with the normal when entering into the glass is zero, the ray passes straight through and strikes the interior of the hypotenuse of the prism. What is the largest value for the index of refraction of the surrounding medium which would still cause total internal reflection inside the prism?arrow_forwardWhat is the critical angle for a piece of glass (n = 1.5) immersed in water? In which material must the initial ray be located for total internal reflection to occur?arrow_forward
- The index of refraction of a certain glass is (1.44x10^0). What is the critical angle for total internal reflection at the glass-air interface? Express your result in degrees with three significant figures.arrow_forwardA ray of light is incident in air on a block of a transparent solid whose index of refraction is n. If n = 1.38, what is the largest angle of incidence θa for which total internal reflection will occur at the vertical facearrow_forwardA ray of sunlight is passing from diamond into crown glass; the angle of incidence is 30.00°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond = 2.444, ncrown glass = 1.531), and red (ndiamond = 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass. %3D Additional Materials eBook 398 1,375 APR 21 étv MacBook Air 80 esc F5 F6 F7 F1 F2 F3 F4 #3 %$4 % & 1 2 3. 4 Y くOarrow_forward
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