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.)

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.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 48P

See similar textbooks

Similar questions

of 0.6 W per pulse. If the wavelength of the laser light is 60 nm. (a) how much energy is deposited per pulse and (b) how many photons does each pulse contain? 7. Light from a 2.5 mW laser source of aperture diameter 1.8 cm and A-5000 Å is focused by a lens of focal length 20 cm. Calculate the area and intensity of the image.
A laser with 589 nm wavelength and a beam diameter of 2 mm is fed through a beam-expander, then aimed from the building A to the Building B at a distance of 2.75 km. What expansion factor is required for the beam-expander in order that the diffraction-limited spot at Canary Wharf tower has a diameter of 30 cm (defined as the diameter of the first dark ring) ?
A laser with 589 nm wavelength and a beam diameter of 2 mm is fed through a beam-expander,then aimed from the G.O. Jones building to the Canary Wharf tower at a distance of 2.75 km.What expansion factor is required for the beam-expander in order that the diffraction-limited spotat Canary Wharf tower has a diameter of 30 cm (defined as the diameter of the first dark ring) ?
A laser with 589 nm wavelength and a beam diameter of 2 mm is fed through a beam-expander,then aimed from point A to point B at a distance of 2.75 km.What expansion factor is required for the beam-expander in order that the diffraction-limited spotat point B has a diameter of 30 cm (defined as the diameter of the first dark ring) ?
What angular resolution would you expect from a pinhole with a 0.55 mm diameter?(Assume light with a wavelength of 540 nm .) Express your answer using two significant figures. να ΑΣφ ? 0min rad
4. (a) A laser that emits a diffraction-limited beam (Xo = 632.84 nm), produces a light spot on the surface of the Moon a distance of 376000 km away. How big is the circular aperture of the laser, if the light spot has a radius of 58 km? Neglect any effects of the Earth's atmosphere. (b) Consider a ruby crystal with two energy levels separated by an energy difference corresponding to a free-space wavelength Xo = 694.3 nm, with a Lorentzian lines hape of width Av=330 GHz. The spontaneous lifetime it tsp = 3 ms and the refractive index of ruby is n = 1.76. What value should the population difference N₂ - №₁ assume to achieve a gain coefficient () = 0.5 cm-¹ at the central frequency? (c) How long should the crystal be to provide an overall gain of 10 at the central frequency when y() = 0.5 cm-¹?
(a) What is the minimum angular spread of a 633-nm wavelength He-Ne laser beam that is originally 1.00 mm in diameter? (b) If this laser is aimed at a mountain cliff 15.0 km away, how big will the illuminated spot be? (c) How big a spot would be illuminated on the Moon, neglecting atmospheric effects? (This might be done to hit a corner reflector to measure the round-trip time and, hence, distance.)
A crystal sample of bacteriorhodpsin, a light-sensitive protein found in halobacteria that responds to light energy, has crystal planes separated by 0.20 nm. If a beam of 11 keV x rays illuminates a sample, what angles will give diffraction maxima?
If the interplanar spacing of NaCl is 2.814x10-10 m, what is the predicted angle at which X-rays of wavelength 0.140 nm will be diffracted in a first-order maximum?
A metal with body centered cubic (bcc) structure show the first (i.e. smallest angle) diffraction peak at a Bragg angle of 0 = 30°. The wavelength of X-ray used is 2.1 Å. The volume of the PRIMITIVE unit cell of the metal is (a) 26.2 (Å)³ (b) 13.1(Á)³ (c) 9.3 (Á)³ (d) 4.6 (Ấ)³
A crystal sample of bacteriorhodopsin, a light-sensitive protein found in halobacteria that responds to light energy, has crystal planes separated by 0.20 nm. If a beam of 12keV x rays illuminates a sample, what angles will give diffraction maxima of the first, second and third order? Express your answers in degrees separated by commas in ascending order.
birds of prey have keen eyesight. If the pupil of an eagle has diameter of 10mm, at what altitude could it fly and still see clearley a mouse 7cm long? consider wavelength=550nm.