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HW3 Sol Phys 375 F10 - Phys 375 HW 3 Fall 2010 Due 4...

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1 Phys 375 HW 3 Fall 2010 Due 4 October, 2010 1. Imagine that you are standing 5 feet from, and looking directly toward, a brass ball 1 foot in diameter hanging in front of a pawn shop. State the type of image, position, magnification, and whether it is upright or inverted. Use the mirror equation 1/s o +1/s i = -2/R, with R = 0.5 ft. The sign convention for radius is negative here. 1/s i = -2/(0.5ft)-1/(5ft) so s i = -5/21 = -0.24 ft. M = -s i /s o = (- 0.24)/5 = 0.048. The image is virtual, erect, and 0.048 times the object size. 2 . Design a little dentist’s mirror to be fixed at the end of a shaft for use in the mouth of some happy soul. The requirements are (1) that the image be erect as seen by the dentist and (2) and that when held 1.5 cm from a tooth the mirror produces and image twice life- size. The mirror must be concave to produce an upright, virtual image. M = 2.0 = s i /0.015 m implies s i = -0.03 m. Putting into the mirror equation gives 1/f = 1/0.015- 1/0.03 so f = 0.03 m and R = 0.06 m. 3. A candle that is 6.00 cm tall is standing 10 cm from a thin diverging lens whose focal length is -30 cm.
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