The distance of the nearest star.

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Chapter 44, Problem 40GP

To determine

The distance of the nearest star.

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Three slits, each separated from its neighbor by d = 0.06 mm, are illuminated by a coherent light source of wavelength 550 nm. The slits are extremely narrow. A screen is located L = 2.5 m from the slits. The intensity on the centerline is 0.05 W. Consider a location on the screen x = 1.72 cm from the centerline. a) Draw the phasors, according to the phasor model for the addition of harmonic waves, appropriate for this location. b) From the phasor diagram, calculate the intensity of light at this location.

A Jamin interferometer is a device for measuring or for comparing the indices of refraction of gases. A beam of monochromatic light is split into two parts, each of which is directed along the axis of a separate cylindrical tube before being recombined into a single beam that is viewed through a telescope. Suppose we are given the following, • Length of each tube is L = 0.4 m. • λ= 598 nm. Both tubes are initially evacuated, and constructive interference is observed in the center of the field of view. As air is slowly let into one of the tubes, the central field of view changes dark and back to bright a total of 198 times. (a) What is the index of refraction for air? (b) If the fringes can be counted to ±0.25 fringe, where one fringe is equivalent to one complete cycle of intensity variation at the center of the field of view, to what accuracy can the index of refraction of air be determined by this experiment?