The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just-resolvable points of light for a 7.25 mm diameter pupil, assuming the average wavelength of 554 nm? 0.00534 O angle between two points of light: Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.50 m apart? greatest distance at which headlights can be distinguished: m 1.61 Incorrect What is the distance between two just-resolvable points held at an arm's length (0.900 m) from a person's eye? 0.145 distance between two points 0.900 m from a person's eye: m Incorrect

The diffraction grating is a way of separating or dispersing light of different wavelengths, producing a spectrum of light.  The grating interferes light constructively in particular directions: dsinθm=mλdsin⁡θm=mλ  For a particular angle, we calculate the wavelength. The grating constant (or line density) is 500 lines per mm -- every millimeter has 500 lines scratched onto it, equally spaced.  The quantity d is the distance between the lines, and λ is the light wavelength.   In the previous problem, calculate y2, where one of the second-order spots appears on the meter stick.  Either that, or show that y2 can't be determined.

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?

You measure the distance between the finges of a diffraction pattern as follows: Distance (mm): 3.01, 3.27, 3.28 You measure the distance eight additional times to obtain the following ten values: Distance (mm): 3.01, 3.27, 3.28, 3.31, 3.16, 3.17, 3.15, 3.25, 3.18, 1.46 What values for the distance and uncertainty would you report using the first three measurements and the entire set of ten measurements? Group of answer choices First three: (3.22 ± 0.03) mm, All ten: (3.22 ± 0.02) mm First three: (3.19 ± 0.09) mm, All ten: (3.0 ± 0.2) mm First three: (3.186667 ± 0.07216237) mm, All ten: (3.201000 ± 0.02613236) mm First three: (3.216667 ± 0.02880329) mm, All ten: (3.216000 ± 0.02379916) mm First three: (3.240000 ± 0.04082483) mm, All ten: (3.217000 ± 0.02702036) mm First three: (3.24 ± 0.04) mm, All ten: (3.22 ± 0.03) mm

Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nm

The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 31.5 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 516 nm. Provide your answer in millidegrees  (mdeg).

Incident nA = SQ + QT (3.19) na = dnki sin 0+ dnki sin 0 (3.20) = 2drki sin 0 H.W. Derive equation 3.20 (Bragg's Law) from equation 3.19 using trigonometry formulas.

The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just‑resolvable points of light for a 6.25 mm diameter pupil, assuming the average wavelength of 539 nm? angle between two points of light:   ° Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.20 m apart? greatest distance at which headlights can be distinguished:   m What is the distance between two just‑resolvable points held at an arm's length (0.750 m) from a person's eye? distance between two points 0.750 m from a person's eye:

Information is stored on an audio compact disc, CD-ROM, or DVD disc in a series of pits on the disc. These pits are scanned by a laser beam. An important limitation on the amount of information that can be stored on such a disc is the width of the laser beam. Explain why this should be, and explain how using a shorter-wavelength laser allows more information to be stored on a disc of the same size. With which color of light can the Hubble Space Telescope see finer detail in a distant astronomical object: red, blue, or ultraviolet? Explain your answer.