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hw23b - aljabr(faa335 Hw23 Ross(89251 This print-out should...

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aljabr (faa335) – Hw23 – Ross – (89251) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points A diverging lens has a focal length of - 24 cm. An object 2 . 82 cm in height is placed 170 cm in front of the lens. Locate the position of the image. Correct answer: - 21 . 0309 cm. Explanation: Basic Concepts: 1 p + 1 q = 1 f m = h h = - q p Diverging Lens 0 > f >p> 0 f <q < 0 0 <m< 1 Solution: Using the thin lens equation 1 p + 1 q = 1 f , with p = 170 cm and f = - 24 cm , we get q = pf p - f = (170 cm) ( - 24 cm) (170 cm) - ( - 24 cm) = - 21 . 0309 cm . The negative sign tells us that the image is virtual. 002 (part 2 of 3) 10.0 points What is the magnification? Correct answer: 0 . 123711. Explanation: The magnification is given by M = - q p = - ( - 21 . 0309 cm) 170 cm = 0 . 123711 . The positive sign of M means that the image is upright and on the same side of the lens as the object. 003 (part 3 of 3) 10.0 points Find the height of the image. Correct answer: 0 . 348866 cm. Explanation: From the formula M = H h , where H is the height of the image and h is the height of the object, we obtain H = M h = (0 . 123711) (2 . 82 cm) = 0 . 348866 cm . 004 10.0 points A converging lens of focal length 0 . 216 m forms a virtual image of an object. The image appears to be 0 . 912 m from the lens on the same side as the object. What is the distance between the object and the lens? Correct answer: 0 . 174638 m. Explanation: Basic Concepts: 1 p + 1 q = 1 f m = h h = - q p Converging Lens f > 0 >p> f f <q< 0 >m> -∞ f >p> 0 -∞ <q< 0 >m> 1 The image appears on the same side as the object, so q is negative: 1 p = 1 f - 1 q 1 p = 1 0 . 216 m + 1 0 . 912 m = 1 5 . 72612 m 1 p = 0 . 174638 m .
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