The Keck Telescope has a diameter of 10.0 m. When it is looking at Mars, 7.38•1010 m from us, how far apart are the closest objects it could possibly resolve? Assume the light has wavelength 633 nm.

New York and Chicago are 1170 km apart. There is a fiber optic link between them with a refractive index of 1.44. There is also a satellite in orbit above at an altitude of 550 km. Assuming that the satellite is exactly midway between the cities and there are no other communication delays in the electronics, which route would provide the fastest data link?

In the figure, assume two waves of light in air, of wavelength 460 nm, are initially in phase. One travels through a glass layer of index of refraction n₁ = 1.59 and thickness L. The other travels through an equally thick plastic layer of index of refraction n₂ = 1.20. (a) What is the smallest value L in meters should have if the waves are to end up with a phase difference of 5.84 rad? (b) If the waves arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive, or intermediate but closer to fully destructive? L (a) Number (b) Units >

In the figure, assume two waves of light in air, of wavelength 657 nm, are initially in phase. One travels through a glass layer of index of refraction n₁ = 1.57 and thickness L. The other travels through an equally thick plastic layer of index of refraction n₂ = 1.25. (a) What is the smallest value L in meters should have if the waves are to end up with a phase difference of 5.71 rad? (b) If the waves arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive, or intermediate but closer to fully destructive? Ro n1