3.9 For the typical human eye at the standard viewing distance of 25 cm, what is the spacing of the dots in a halftone picture such that they can just be resolved?
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- Suppose you are looking down at a highway from a jetliner flying at an altitude of 6.0 km. How far apart must two cars be if you are able to distinguish them? Assume that =550 nm and that the diameter of your pupils is 4.0 mm.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 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?
- An astronaut can barely resolve two objects on the earth's surface, 230 km below. The diameter of the astronaut's pupils is 5.0 mm and the wavelength of the light is 550 nm. What is the minimum distance smin that separates the two objects?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 7.8 cm and a marvelous computer between their ears. If this optical interferometer is just as good as one eyeball and as large as the separation of two regular eyeballs, what is the diffraction limit in arcsec of human vision for visible light at 525 nm?The pupil of a cat’s eye narrows to a vertical slit of width 0.53 mm in daylight. Assume the average wavelength of the light is 498 nm. What is the maximum distance for which the cat can separate two mice in horizontal plane located at 9 cm from each other? (Give your answer in decimal with one digit after the decimal point, using "m" (meter) as unit.)
- An astronaut can barely resolve two objects on the earth’s surface, 170 km below. The diameter of the astronaut’s pupils is 5.0 mm, and the wavelength of the light is 550 nm. What is the minimum distance smin that separates the two objects? I have no clue how to solve for thisThe 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?Find the angle in degrees between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.90 µm. .01008912 O (b) What is the distance in mm between these minima if the diffraction pattern falls on a flat screen 2.00 m from the slit? .3448 X mm (c) Discuss the ease or difficulty of measuring such a distance. (Select all that apply.) ✔This distance is easily measured using a microscope. This distance is easily measured by the human eye. ✔This distance is easily measured using a magnifying glass.
- 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?a beam of wavelength 500nm falls on YDSE.if the width of the slit is 0.3mm,find number of maxima in -30<0<0 where theta is angular position option 1.150 2.5993.300 4.149An interferometer is an instrument that uses interference effects to makevery precise measurements of small changes in distance.Figure QB3a shows the set-up of a simple interferometer. The lightproduced by the laser (λ = 700 nm) travels to the beam splitter, C (a halfsilvered mirror), where 50% of the laser light travels straight throughwithout changing direction (beam 1) and the other 50% is reflected(beam 2).Beam 1 hits mirror A and returns to the beam splitter, where it is thenreflected towards the screen (D). Beam 2 hits mirror B and returns tothe beam splitter, where it then travels straight through without changingdirection, also reaching the screen.All parts of the interferometer are suitably enclosed such that the onlylight inside the device comes from the laser.(i) Assuming that AC and BC are the same length, explain what youwould expect to observe on the screen and why.(ii) The interferometer set-up is modified such that the length of BCis 0.000525 mm longer than the length…