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Consider the lens–mirror arrangement shown in Figure P35.55. There are two final image positions to the left of the lens of focal length fL. One image position is due to light traveling from the object to the left and passing through the lens. The other image position is due to light traveling to the right from the object, reflecting from the mirror of focal length fM and then passing through the lens. For a given object position p between the lens and the mirror and measured with respect to the lens, there are two separation distances d between the lens and mirror that will cause the two images described above to be at the same location. Find both positions.
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Chapter 35 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 10th + WebAssign Printed Access Card for Serway/Jewett's Physics for Scientists and Engineers, 10th, Multi-Term
- In Figure P35.30, a thin converging lens of focal length 14.0 cm forms an image of the square abed, which is he = hb = 10.0 cm high and lies between distances of pd = 20.0 cm and pa = 30.0 cm from the lens. Let a, b, c. and d represent the respective corners of the image. Let qa represent the image distance for points a and b, qd represent the image distance for points c and d, hb, represent the distance from point b to the axis, and hc represent the height of c. (a) Find qa, qd, hb, and hc. (b) Make a sketch of the image. (c) The area of the object is 100 cm2. By carrying out the following steps, you will evaluate the area of the image. Let q represent the image distance of any point between a and d, for which the object distance is p. Let h represent the distance from the axis to the point at the edge of the image between b and c at image distance q. Demonstrate that h=10.0q(114.01q) where h and q are in centimeters. (d) Explain why the geometric area of the image is given by qaqdhdq (e) Carry out the integration to find the area of the image. Figure P35.30arrow_forward(i) An object is plated at a position p f from a concave mirror as shown in Figure CQ39.12a, where f is the focal length of the mirror. In a finite time interval, the object is moved to the right to a position at the focal point F of the mirror. Show that the image of the object moves at a speed greater than the speed of light. (ii) A laser pointer is suspended in a horizontal plane and set into rapid rotation as shown in Figure CQ39 12b. Show that the spot of light it produces on a distant screen can move across the screen at a speed greater than the speed of light. (If you carry out this experiment. make sure the direct laser light cannot enter a person's eyes.) (iii) Argue that the experiments in parts (i) and (ii) do not invalidate the principle that no material, no energy, and no information can move faster than light moves in a vacuum. Figure CQ39.12arrow_forwardA plane mirror and a concave mirror (f = 6.70 cm) are facing each other and are separated by a distance of 20.0 cm. An object is placed between the mirrors and is 10.0 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number i C Object F Unitsarrow_forward
- A plane mirror and a concave mirror (f = 7.50 cm) are facing each other and are separated by a distance of 17.0 cm. An object is placed between the mirrors and is 8.50 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number i Object (-²) Units ◄►arrow_forwardA laser beam is reflected by a plane mirror. It is observed that the angle between the incident and reflected beams is 25°. If the mirror is now rotated so that the angle of incidence increases by 6.0°, what is the new angle between the incident and reflected beams? Group of answer choices 29° 13° 21° 37°arrow_forwardA plane mirror and a concave mirror (f = 7.70 cm) are facing each other and are separated by a distance of 21.0 cm. An object is placed between the mirrors and is 10.5 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number H с Units Object > Farrow_forward
- A block of crown glass is immersed in water as in the figure below. A light ray is incident on the top face at an angle of θ1= 41° with the normal and exits the block at point P. Find the angle of refraction θ2 of the light ray leaving the block at P. 80.2° 41° 43.3° 68.9°arrow_forwardA ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. a.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? b.) At what speed (in m/s) does the light travel within the glass? c.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?arrow_forwardA light ray in the core (n 1.40) of a cylindrical optical fiber travels at an angle Θ1 = 49.0° with respect to the axis of the fiber. A ray is transmitted through the cladding (n 1.20) and into the air. What angle Θ2 does the exiting ray make withthe outside surface of the claddingarrow_forward
- A light from a projector passes through a two-lens system, where it first passes through a concave lens that has an unknown focal length and then through a convex lens of focal length 20 cm after which the light hits a screen. Given that the distance between the light source and the concave lens is 8 cm, the distance between the convex and concave lens is 60 cm, and the distance between the convex lens and the screen is 26 cm, find the focal length of the concave lensarrow_forwardA plane mirror and a concave mirror (f = 8.70 cm) are facing each other and are separated by a distance of 27.0 cm. An object is placed between the mirrors and is 13.5 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number i Object (+) F Unitsarrow_forwardA ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below. A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle θ1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle θ2 with the vertical. (a) Find the angle of refraction θ2 if the second medium is ice.°(b) Find the angle of refraction θ2 if the second medium is fluorite.°(c) Find the angle of refraction θ2 if the second medium is carbon tetrachloride.°arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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