▼ Part A How far away can a human eye distinguish two car headlights 2.2 m apart? Consider only diffraction effects and assume an eye pupil diameter of 5.5 mm and a wavelength of 560 nm. Express your answer to two significant figures and include the appropriate units. L = 1.8x104 m Submit ✓ Correct Part B Previous Answers What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects? Express your answer using two significant figures. IVE ΑΣΦ 0= Submit Previous Answers Request Answer ? * Incorrect; Try Again; One attempt remaining of arc

▼ Part A How far away can a human eye distinguish two car headlights 2.2 m apart? Consider only diffraction effects and assume an eye pupil diameter of 5.5 mm and a wavelength of 560 nm. Express your answer to two significant figures and include the appropriate units. L = 1.8x104 m Submit ✓ Correct Part B Previous Answers What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects? Express your answer using two significant figures. IVE ΑΣΦ 0= Submit Previous Answers Request Answer ? * Incorrect; Try Again; One attempt remaining of arc

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 58P: A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The...

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On a bright clear day, you are at the top of a mountain and looking at a city 12 km away. There are two tall towers 20.0 m apart in the city. Can your eye resolve the two towers if the diameter of the pupil is 4.0 mm? If not, what should be the minimum magnification power of the telescope needed to resolve the two towers? In your calculations use 550 nm for the wavelength of the light.
A camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at 700 nm wavelength? Can it resolve the millimeter markings of a ruler placed 35 m away?
A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the moon. (a) If this is done with the Mount Wilson telescope, producing a 2.54-m-diameter beam of 633-nm light, what is the minimum angular spread of the beam? (b) Neglecting atmospheric effects, what is the size of the spot this beam would make on the moon, assuming a lunar distance of 3.84108 m?
The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
A particular person's pupil is 4.5 mm in diameter, and the person's normal‑sighted eye is most sensitive at a wavelength of 552 nm. What is angular resolution ?R of the person's eye, in radians?
The limit to the eye’s visual acuity is related to diffraction by the pupil.D = 2.85 mmdh = 1.25 m a. What is the angle between two just-resolvable points of light for a 2.85 mm diameter pupil in radians, assuming an average wavelength of 550 nm? θmin = b. Take your result to be the practical limit for the eye. What is the greatest possible distance in km a car can be from you if you can resolve its two headlights, given they are 1.25 m apart? L= c. What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye in mm? da =
Question 1 a)Calculate the resolving power of a Fabry-Perot interferometer made of re- flecting surfaces of reflectivity 0.85 and separated by a distance 1 mm at λ = 4880 ˚A. b. Calculate the minimum spacing between the plates of a Fabry?Perot interfer- ometer which will resolve two lines with ∆λ = 0.1 ˚Aat λ = 6000 ˚A. Assume the reflectivity to be 0.8. need both or else I will downvote
The diffraction limit, the smallest angle in degrees that can be resolved, is 250,000 arcsec × (wavelength/diameter of telescope). Humans have two eyes separated by about 8.1 cm and a marvelous computer between their ears. If this optical interferometer is just as good as one eyeball with a diameter as large as the separation of two regular eyeballs, what is the diffraction limit in arcsec of human vision for visible light at 612 nm?
Estimate the linear separation (in kilometers) of two objects at a distance of 1.9 × 10° km that can just be resolved by an observer on Earth (a) using the naked eye and (b) using a telescope with a 7.4-m diameter mirror. Use the following data: diameter of pupil = 5.0 mm; wavelength of light = 550 nm. %3D (a) Number i 2.5E8 Units km (b) Number i 1.7E5 Units km
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Pluto and its moon Charon are separated by 19600 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve these bodies when they are 5.40×109 km from Earth (neglecting atmospheric effects). Assume an average wavelength of 545 nm. To determine the answer, calculate the ratio of the telescope's angular resolution ?T to the angular separation ?PC of the celestial bodies.