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# parshotam (jp34732) - Optical Instruments - mitchler - (3) This print-out should have 17 questions. Multiple-choice questions may continue on the

Physics homework
Optics

Everything from number 9 to 17 in attached document
parshotam (jp34732) – Optical Instruments – mitchler – (3) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points IF the distance From Earth to the Moon is 3 . 7 × 10 8 m, what diameter would be required For a telescope objective to resolve a Moon crater 272 m in diameter? Assume a wavelength oF 420 nm. Answer in units oF m. 002 10.0 points The angular resolution oF a radio telescope is to be 0 . 141 when the incident waves have a wavelength oF 3 . 84 mm. Approximately what minimum diameter is required For the telescope’s receiving dish? Answer in units oF m. 003 10.0 points A binary star system in the constellation Orion has an angular separation between the two stars oF 1 . 3 × 10 5 rad. IF the wavelength is 301 nm, what is the smallest diameter a telescope can have and just resolve the two stars? Answer in units oF cm. 004 (part 1 oF 2) 10.0 points What is the maximum angular magnifcation oF a lens having a Focal length oF 21 . 7 cm? 005 (part 2 oF 2) 10.0 points ±ind the angular magnifcation oF this lens when the eye is relaxed. 006 10.0 points Light is re²ected From a smooth surFace, and the re²ected ray is completely polarized. ±ind the angle oF incidence. The index oF reFraction oF the surFace is 1 . 46. Answer in units oF . 007 (part 1 oF 2) 10.0 points A reFracting telescope has a 0 . 828 m diameter objective lens with Focal length 12 . 3 m and an eyepiece with Focal length 1 . 86 cm. What is the angular magnifcation oF the telescope? 008 (part 2 oF 2) 10.0 points Describe the fnal image. 1. inverted and real 2. inverted and virtual 3. erect and virtual 4. None oF these. 5. erect and real 009 10.0 points The desired overall magnifcation oF a com- pound microscope is 158 × . The objective alone produces a lateral magnifcation oF 10 × . ±ind the required Forcal length oF the eye- piece. Assume the near point is 25 cm. Answer in units oF cm. 010 10.0 points An unpolarized light beam with intensity oF I 0 passes through 2 polarizers shown in the picture. I 0 42 72 I IF the frst polarizer is rotated at an angle 42 with respect to vertical and the second and angle 72 with respect to vertical, what is the beam intensity I aFter the second polarizer? 1. I = 3 8 I 0 2. I = 1 2 I 0 3. I = 1 8 I 0
parshotam (jp34732) – Optical Instruments – mitchler – (3) 2 4. I = 3 16 I 0 5. I = 9 16 I 0 6. I = 1 16 I 0 7. I = 5 8 I 0 8. I = 7 16 I 0 9. I = 1 4 I 0 10. I = 5 16 I 0 011 10.0 points A 644 nm light beam hits the fat surFace oF a certain liquid, and the beam is split into a refected ray and a reFracted ray. IF the refected ray is completely polarized at grazing angle 23 , what is the wavelength oF the reFracted ray? Answer in units oF nm. 012 10.0 points Plane-polarized light is incident on a single polarizing disk with the direction oF E 0 paral- lel to the direction oF the transmission axis. Through what angle should the disk be ro- tated so that the intensity in the transmitted beam is reduced by a Factor oF 3 . 92? Answer in units oF . 013 (part 1 oF 4) 10.0 points Note: The repiprocal oF the Focal length is called the power oF a lens. When the Focal length is expressed in meters, the power is given in reciprocal meters, call “diopters (D)” A crude, symmetric handheld microscope consists oF two converging 14 D lenses Fastened in the ends oF a tube 21 cm long. What is the “tube length” (distance be- tween the Foci oF the two lenses) oF this micro- scope? Answer in units oF cm. 014 (part 2 oF 4) 10.0 points What is the lateral magni±cation oF the ob- jective? 015 (part 3 oF 4) 10.0 points What is the magniFying power oF the micro- scope? 016 (part 4 oF 4) 10.0 points How Far From the objective should the object be placed? Answer in units oF cm. 017 10.0 points Note the index oF reFraction oF your eye changes the wavelength oF light when it passes through your eye. Suppose you are standing on a straight highway and watching a car moving away From you at 30 m / s. The air is perFectly clear, and aFter 2 . 58 min you see only one taillight. IF the diameter oF your pupil is 3 . 49 mm and the index oF reFraction oF your eye is 1 . 48, estimate the width oF the car. (Taillights are red, so use a wavelength oF 650 nm.) Answer in units oF m.

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