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- Problem 6: Electric room heaters use a concave mirror to reflect infrared (IR) radiation from hot coils. Note that IR follows the same law of reflection as visible light. Find the magnification of the heater element, given that the mirror has a radius of curvature of 49 cm and produces an image of the coils 3.2 m away from the mirror.Can a light ray traveling in air be totally reflected when itstrikes a smooth water surface if the incident angle is chosencorrectly? Explain.15 .) see photo for details
- 7. Two identical lenses of focal length f are placed at a distance 2f from each other. An object of height h is placed at a distance 3f to the left of the left lens of the pair. If one views the object through these two lenses from the right, what is the height of the image? (1) 0.67 h (2) h (3) 0.25 h 8. A uniform magnetic field is going into the plane of the page (4) 0.33 h Two charged particles of the (5) 0.5 h 24. A dance hall is built without pillars and with a horizontal ceiling 7.20 m above the floor. A mirror is fastened flat against one section of the ceiling. Following an earthquake, the mirror is in place and unbroken. An engineer makes a quick check of whether the ceiling is sagging by directing a vertical beam of laser light up at the mirror and observing its reflection on the floor. (a) Show that if the mirror has rotated to make an angle o with the horizontal, the normal to the mirror makes an angle o with the vertical. (b) Show that the reflected laser light makes an angle 20 with the vertical. (c) Assume the reflected laser light makes a spot on the floor 1.40 cm away from the point vertically below the laser. Find the angle o.how to slove?
- 112 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.A ring with a colorless gemstone is dropped into water. The gemstone becomes invisible when submerged. Can it be a diamond? Explain.