Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 36, Problem 46CP
To determine
The radius of the
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A plano-convex lens having a radius of curvature of r = 4.00 m is placed on a concave glass surface whose radius of curvature is R = 12.0 m as shown in Figure P36.46. Assuming 500-nm light is incident normal to the flat surface of the lens, determine the radius of the 100th bright ring.
34. Consider a beam of light from the
left entering a prism of apex angle
O as shown in Figure P34.34. Two
angles of incidence, 0, and 0,, are
shown as well as two angles of
refraction, 0, and 0,. Show that
O = 0, + 0g-
2
%D
2
3°
71. A light ray enters a rectangular block of plastic at an angle& 1 ! 45.0° and emerges at an angle & 2 ! 76.0°, as shownin Figure P35.71. (a) Determine the index of refraction ofthe plastic. (b) If the light ray enters the plastic at a pointL ! 50.0 cm from the bottom edge, how long does it takethe light ray to travel through the plastic?
Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 36.2 - Which of the following causes the fringes in a...Ch. 36.3 - Using Figure 36.6 as a model, sketch the...Ch. 36.5 - One microscope slide is placed on top of another...Ch. 36 - Two slits are separated by 0.320 mm. A beam of...Ch. 36 - Prob. 2PCh. 36 - A laser beam is incident on two slits with a...Ch. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Light with wavelength 442 nm passes through a...Ch. 36 - Prob. 7P
Ch. 36 - A student holds a laser that emits light of...Ch. 36 - Coherent light rays of wavelength strike a pair...Ch. 36 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - In the double-slit arrangement of Figure P36.13, d...Ch. 36 - Monochromatic light of wavelength is incident on...Ch. 36 - Prob. 15PCh. 36 - Show that the distribution of intensity in a...Ch. 36 - Prob. 17PCh. 36 - Monochromatic coherent light of amplitude E0 and...Ch. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - When a liquid is introduced into the air space...Ch. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28APCh. 36 - Prob. 29APCh. 36 - Prob. 30APCh. 36 - Prob. 31APCh. 36 - Prob. 32APCh. 36 - In a Youngs double-slit experiment using light of...Ch. 36 - Prob. 34APCh. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - Prob. 36APCh. 36 - In a Newtons-rings experiment, a plano-convex...Ch. 36 - Prob. 38APCh. 36 - A plano-concave lens having index of refraction...Ch. 36 - Prob. 40APCh. 36 - Interference fringes are produced using Lloyds...Ch. 36 - A plano-convex lens has index of refraction n. The...Ch. 36 - Prob. 43APCh. 36 - Prob. 44APCh. 36 - Prob. 45APCh. 36 - Prob. 46CPCh. 36 - Prob. 47CPCh. 36 - Prob. 48CPCh. 36 - Prob. 49CPCh. 36 - Prob. 50CP
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- How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forwardAn object is placed a distance of 10.0 cm to the left of a thin converging lens of focal length f = 8.00 cm, and a concave spherical mirror with radius of curvature +18.0 cm is placed a distance of 45.0 cm to the right of the lens (Fig. P38.129). a. What is the location of the final image formed by the lensmirror combination as seen by an observer positioned to the left of the object? b. What is the magnification of the final image as seen by an observer positioned to the left of the object? c. Is the final image formed by the lensmirror combination upright or inverted? FIGURE P38.129arrow_forward
- Interference effects are produced at point P on a screen as a result of direct rays from a 5.00 x 102 - nm source and reflected rays off a mirror, as shown in Figure P24.67. If the source is L = 1.00 x 102 m to the left of the screen and h = 1.00 cm above the mirror, find the distance y (in millimeters) to the first dark band above the mirror.arrow_forwardWhen the light illustrated in Figure P35.21 passes through the glass block, it is shifted laterally by the distance d. Find the time interval required for the light to pass through the glass block, where t = 1.50 cm, n = 1.50, and = 35.0⁰ ps Figure P35.21arrow_forwardFor 589nm light, calculate the critical angle for the following materials surrounded by air. (a) diamond, n = 2.419 (b) flint glass, n = 1.66 (c) ice, n = 1.309arrow_forward
- In the figure, light is incident at angle θ1 = 38.0˚ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28, n2 = 1.38, n3 = 1.32 and n4 = 1.47, what is the value of (a) θ5 and (b) θ4?arrow_forwardThe prism in Figure P22.32 is made of glass with an index ofrefraction of 1.64 for blue light and 1.60 for red light. Find(a) δR , the angle of deviation for red light, and (b) δB , theangle of deviation for blue light, if white light is incident onthe prism at an angle of 30.0°.arrow_forwardIn the figure, light is incident at angle θ1 = 40.1° on a boundary between two transparent materials. Some of the light travels down through the next 3 layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.30, n2 = 1.40, n3 =1.32 and n4 = 1.45, what is the value of:(a) θ5 and(b) θ4?arrow_forward
- Light can travel from air into water. Some possible paths for the light ray in the water are shown in Figure OQ35.7. Which path will the light most likely follow? (a) A (b) B (c) C (d) D (e) Earrow_forwardIn the figure, light is incident at angle 01 = 37.0° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28, n2 = 1.40, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? Air N2 n4 (a) 85: %3D Number Units (b) 84 Number Unitsarrow_forwardIn the figure, two light rays pass from air through five layers of transparent plastic and then back into air. The layers have parallel interfaces and unknown thicknesses; their indexes of refraction are n1 = 1.8, n2 = 1.8, n3 = 1.7, n4 = 1.5, and ng = 1.9. Ray bis incident at angle O, = 32°. Relative to a normal at the last interface, at what angle do (a) ray a and (b) ray b emerge? (Hint: Solving the problem algebraically can save time.) If the air at the left and right sides in the figure were, instead, glass with index of refraction 1.4, at what angle would (c) ray a and (d) ray b emerge? 9. Air Air (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units >arrow_forward
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