# hw19a - aldawsari(ma28683 HW19 Betancourt(16856 This...

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aldawsari (ma28683) – HW19 – Betancourt – (16856) 1 This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 34.1-34.4 001 (part 1 oF 3) 10.0 points A concave mirror has a Focal length f = 51 cm. Determine the conditions on the object po- sition p For the image to be erect at q . 1. q = p 2. f < q 3. p < q 4. q < f < p 5. f < p < q 6. p < q < f 7. f < p 8. p < f correct 9. q < f Explanation: 1 p + 1 q = 1 f = 2 R M = h h = - q p Concave Mirror f > 0 >p> f f <q < 0 >M > -∞ f >p> 0 -∞ <q < 0 >M > 1 Let : f = 51 cm . In order For the image to be erect, the mag- nifcation M = - q p must be positive. ( p = object distance, q = image distance). Us- ing the mirror equation, we can solve For q in terms oF p and f . 1 p + 1 q = 1 f , so 1 q = 1 f - 1 p 1 q = p - f f p . Now, plugging into the equation For M we obtain M = - q p = f f - p . So the condition For M to be positive is that p < f . 002 (part 2 oF 3) 10.0 points Determine the object position p For the image to be erect and 4 times the size oF the object. Correct answer: 38 . 25 cm. Explanation: Let : M = 4 . q = - M p Using the mirror equation, 1 - M p + 1 p = 1 f 1 p p 1 - 1 M P = 1 f ThereFore p = f - f M = 51 cm - 51 cm 4 = 38 . 25 cm . 003 (part 3 oF 3) 10.0 points What is the radius oF curvature oF the mirror? Assume the mirror is spherical. Correct answer: 102 cm. Explanation: The Focal length For a spherical mirror is one halF oF the radius oF curvature R . So, R = 2 f = 102 cm . 004 (part 1 oF 9) 10.0 points ±or a concave mirror, when the object is placed Farther From the mirror than the mir- ror’s Focal length, but closer to the mirror than the mirror’s radius ( f < p < R ), the image is

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aldawsari (ma28683) – HW19 – Betancourt – (16856) 2 1. larger than the object. correct 2. same size as the object. 3. smaller than the object. Explanation: 1 p + 1 q = 1 f = 2 R m = h h = - q p Concave Mirror f > 0 >p> f f <q < 0 >m> -∞ f >p> 0 -∞ <q < 0 >m> 1 q p h h' f R 005 (part 2 of 9) 10.0 points For a concave mirror, when the object is placed farther from the mirror than the mir- ror’s focal length, but closer to the mirror than the mirror’s radius ( f < p < R ), the image is 1. inverted. correct 2. at in±nity or undetermined. 3.
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hw19a - aldawsari(ma28683 HW19 Betancourt(16856 This...

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