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p7 - 0 cm and focal length 50 cm Consider diffraction and...

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Physics 25 Problem Set 7 Harry Nelson due Monday, May 19 Please make your work neat, clear, and easy to follow. It is hard to grade sloppy work accurately. Generally, make a clear diagram, and label quantities. Derive symbolic answers, and then plug in numbers after a symbolic answer is available. 1. Consider a concave mirror where x is the horizontal, y is vertical, and the formula for the surface of the mirror is y 2 / (2 R ), where R is the radius of the mirror; this is as done in class. Assume y is small and y 2 / (2 R ) is tiny. Consider an object at distance p from the mirror, and use geometry and algebra to show that the three principal rays all converge at a distance q from the mirror, where 1 /p + 1 /q = 2 /R . 2. Consider a telescope with an objective of diameter 5
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Unformatted text preview: . 0 cm and focal length 50 cm. Consider diffraction, and estimate the width of a distant star in the focal plane of the objective. What focal length should you choose for the eyepiece to get an angular magnification of 10? 3. Crawford 9.32 4. Crawford 9.60. Hint: use the formula(s) for angular deflection discussed in class. Add the following questions: evaluate f (defined in the problem) for a pair consisting of a converging lens of focal length f 1 and a diverging lens of focal length-f 1 , for two cases: (a) rays incident from the left; (b) rays incident from the right. 5. Anderson, 3-5 6. Anderson, 3-6...
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