COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 37QAP
To determine
Distance travelled by light in methylene iodide
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•39 In Fig. 34-38, a beam of parallel light rays from a laser is in-
cident on a solid transparent sphere of index of refraction n. (a) If
a point image is produced at the
back of the sphere, what is the index
of refraction of the sphere? (b)
What index of refraction, if any, will
produce a point image at the center
of the sphere?
•• A slab of glass that has an index of refraction of 1.50 is
submerged in water that has an index of refraction of 1.33. Light
in the water is incident on the glass. Find the angle of refraction
if the angle of incidence is (a) 60°, (b) 45°, and (c) 30°. SSM
31
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Chapter 23 Solutions
COLLEGE PHYSICS
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- •• ENGINEERING APPLICATION An optical fiber allows rays of light to propagate long distances by using total internal reflec- tion. Optical fibers are used extensively in medicine and in digital communications. As shown in Figure 31-58 the fiber consists of a core material that has an index of refraction n, and radius b sur- rounded by a cladding material that has an index of refraction n3 < n2. The numerical aperture of the fiber is defined as sine, where 0, is the angle of incidence of a ray of light that impinges on the center of the end of the fiber and then reflects off the core- cladding interface just at the critical angle. Using the figure as a guide, show that the numerical aperture is given by sine, = Vn3 - n? assuming the ray is initially in air. Hint: Use of the Pythagorean theorem may be required. 44arrow_forwardV:46)arrow_forwardiiarrow_forward
- Physics v Q21 A convex lens made of glass, with refractive index (), is placed in a medium of refractive index . A parallel beam of light entering the lens diverges converges undergoes no refraction comes out as a parallel beam by itself. Physicsarrow_forward112 You look down at a coin that lies at the bottom of a pool of liquid of depth d and index of refractionn To left (Fig. 34-57). Because you view with two eyes, which intercept different rays of light from the coin, you per- To right eye eye Air ceive the coin to be where extensions of the intercepted rays cross, at depth d, instead of d. Assuming that the intercepted rays in Fig. 34-57 are close to a vertical axis through the coin, show that d, = din. (Hint: Use the small-angle approximation sin 0 tan 6- 0.) Figure 34-57 Problem 112.arrow_forwardDoes the refractive index of a certain material depend on the color of light incident on it? Explain.arrow_forward
- D) 2376 m/s During an Apollo moon landing, reflecting panels were placed on the moon. This allowed earth-based astronomers to shoot laser beams at the moon's surface to determine its distance. The reflected laser beam was observed 2.52 s after the laser pulse was sent. If the speed of light is 3.00x10 m/s, what was the distance between the astronomers and 10) the moon? A) 3.78x10 m B) 37800000 m 8.40x10 m D) 8.40x10 if you were the first Mars explorer and discovered that when you dropped a hammer if took 0.68 s to fall 0.90 m to the ground, what would you calculate for the gravitational acceleration on Mars? 11) A) 4.32x 10 m/sarrow_forward--/0.5 Question 10 A beam of light of wavelength traveling in air is incident on a slab of transparent material. The incident beam makes an angle of 40.0°with the normal, and the refracted beam makes an angle of 26.0° with the normal. Find the index of refraction of the material. 0.47 1.47 2.47arrow_forwardWe know that the index of refraction of materials can help identify those materials. A light beam is shined onto a surface a reflected ray and is found to be completely polarized when the angle of incidence is 53.5°.(a) What is the index of refraction of the reflecting material? (b) What is the angle of refraction if some light passes through the surface of the material?°arrow_forward
- Compare the magnitudes of the equilibrant vectors measured from the experiment with those obtained from the graphical and component methods. Example: A: 200 g 60° above +x axis B: 300 g 45° above -x axis C: 400 g 30° below-x-axis A. A cos a = 1.96 N x cos 60°= 0.98 N B = B cos b = 2.94 N x cos 135º = -2.08 N Cx = C cos g = 3.92 N x cos 210° = -3.39 N R. A + B + C₂ = -4.49 N A, = A sin a = 1.96 N x sin 60° = 1.70 N By = B sin b = 2.94 N x sin 135° = 2.08 N Cy= C sin g = 3.92 N x sin 210° = -1.96 N Ry= Ay+ By + Cy = 1.82 N Questions: II: (a) A: 150 g 60° along +y axis B: 200 g 45° above -x axis C: 100 g 30° below -x axis A, A cos a = B₂= B cos b = C₂ = C cos g = R-A₂+B+C₂ A = A sin a = B, =B sin b = C₂ = C sin g = R₂ = A +By+C₂= R = (R₂. R₂): Quadrant (c) A: 200 g along -y axis B: 100 g 60° above +x axis C: 200 g 45° below →x axis A, A cos a= B₂B cos b = C₂ = C cos g = R₂-A₂+B+C₂ A₁ = A sin a = B = B sin b = C₁=C sin g = Ry= Ay+By+Cy= R = (R₁, R₂): Quadrantarrow_forward1) The Apollo 11 astronauts set up a panel of efficient corner cube retroreflectors on the Moon's surface. The speed of light can be found by measuring the time interval required for a laser beam to travel from Earth, reflect from the panel, and return to Earth. If this interval is measured to be 2.51 s, what is the measured speed of light? Take the center-tocenter distance from Earth to Moon to be 3.84 x 10* m, and do not ignore the sizes of the Earth and Moon.arrow_forwardLight is an incident on a vertical interface between two mediums as shown in the picture. The medium on the left has an index of refraction n(left) & the medium on the right has an index of refraction n(right). The light comes from the bottom left. If n(left)=1.3, n(right)=2.3, & angle of incidence = 41degrees. What is the angle of refraction? -68.2 -49.0 -0 -41.0 -21.8 If n(left)=1.3, n(right)=2.3, & angle of incidence= 41degrees, what is the angle of reflection? *same choices as first question*arrow_forward
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