The limit to the eye’s visual acuity is related to diffraction by the pupil. Randomized VariablesD = 3.05 mm dh = 1.4 m Part (a) What is the angle between two just-resolvable points of light for a 3.05 mm diameter pupil in radians, assuming an average wavelength of 550 nm? Part (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 1.4 m apart? Part (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye in mm?

The limit to the eye’s visual acuity is related to diffraction by the pupil. Randomized VariablesD = 3.05 mm dh = 1.4 m Part (a) What is the angle between two just-resolvable points of light for a 3.05 mm diameter pupil in radians, assuming an average wavelength of 550 nm? Part (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 1.4 m apart? Part (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye in mm?

Similar questions

The diamond has a face-centered cubic crystal lattice, and there are eight atoms in a unit cell. Its density is 3.51 g cm -3 Calculate the first six angles at which reflections would be ob tained using an X-ray beam of wavelength 7.12 pm.
Atomic sodium produces two prominent spectral lines at 588.995 nm and 589.592 nm. Find the angular separation between these lines when observed in third order using a spectrometer with 2100 lines per cm. Include proper units.
What is the coherence length (I) of an optical coherence tomography system if it uses a lazer with the central wavelength of A. = 850 nm and bandwidth of = 0.5 nm? %3D A1 =
A laser delivers an irradiance of 105 W/cm2 in a certain target area. If you are working in this area and the MPE for this laser is given by Table 2-3 to be 0.005 W/cm2, what is the minimum OD for the laser goggles you should be wearing?
A proposed "star wars" antimissile laser is to focus infrared light with 2.8-µm wavelength to a 50-cm-diameter spot on a missile 2500 km distant. Find the minimum diameter for a concave mirror that can achieve this spot size, given the diffraction limit. (Your answer suggests one of many technical difficulties faced by antimissile defense systems.)
In June 1985, a laser beam was sent out from the Air Force Optical Station on Maui, Hawaii, and reflected back from the shuttle Discovery as it sped by 354 km overhead.The diameter of the central maximum of the beam at the shuttle position was said to be 9.1 m, and the beam wavelength was 500 nm.What is the effective diameter of the laser aperture at the Maui ground station? (Hint: A laser beam spreads only because of diffraction; assume a circular exit aperture.)
A third-order diffraction maximum is observed when a 0.862 Å X-ray beam is diffracted by the planes (111) of a copper crystal. The incident and diffracted beams form angles of 38.26° with the planes. Find the distance between adjacent (111) planes.
You are looking into the headlights of a distant vehicle on an autoroute in France. The driver has shown his resistance to the Europeanization of Europe by resolutely continuing to use yellow headlights (wavelength 550 nm). (a) What is the theoretical limit of angular resolution of your eyes for these headlights when your iris has a diameter of 6.00 mm? (Express your answer in milli-radians (mrad).) (b) If the headlights of the car are separated by 1.80 m, with this resolution at what distance would you be just be able to tell that the vehicle had, in fact, two headlights? (Express your answer in km.)
In a certain photo-chemical experiment, the light from a sodium lamp at 589.0 nmneeds to be diffracted at an angle of 55 degrees in thesecond diffraction order. Howmany lines/mm would your grating need to have in orderto do this?
Question A4 The mineral schreibersite is often found in iron-nickel meteorites. One sample was found to have a body-centred tetragonal structure with a = 9.0168 Å and c = 4.4491 Å. Calculate the scattering angle and the multiplicity for the first (lowest 0) diffraction peak, using Cu Ka radiation of wavelength X = 1.5406 Å.
The dispersion curve of glass is the curve that describes how the index of refraction of glass changes as a function of the wavelength. This curve can be represented approximately by Cauchy's empirical equation, n = A + B/2² where for a specific glass in question A = 1.40 and B = 2.5 × 10 nm² (yes, those units are nanometer squared). Find the phase and group velocities for light of 500nm wavelength in that glass.
Chapter 36, Problem 017 (a) Find the equation of a at which intensity extrema for single-slit diffraction occur (Im - is maximum). What are the (b) smallest a and (c) associated m, the (d) second smallest a and (e) associated m, and the (f) third smallest a and (g) associated m? (Note: To find values of a satisfying this conditiion, plot the curve y = tan a and the straight line y = a and then find their intersections, or use a calculator to find an appropriate value of a by trial and error. Next, from a = (m+1/2)x, determine the values of m associated with the maxima in the single-slit pattern. These m values are not integers because secondary maxima do not lle exactly halfway between minima.) (a) = 0 2 Edit •1 (b) a = Number Units 2 Units (c) m = Number *3 Units (d) a = Number *4 Units (e) m = Number Units (f) a = Number Units (g) m = Number