7.10 (a) A car is travelling towards you on a long straight road at night. Estimate the distance at which you can just...
A diffraction- limited eye with a 6 mm pupil is looking at an approaching car whose headlights have a wavelength of 550 nm and are separated by 1.5 m. a) What is the minimum angular resolution of the eye? b) At what distance can you no longer resolve two distinct headlights?
Suppose your Newtonian reflect has an objective mirror 10 cm (4 inches) in diameter. a) What is the telescope's diffraction-limited angular resolution when used with yellow light of wavelength 600 nm? b) A binary star is a system of two stars orbiting each other. Suppose you are observing a binary star consisting of two yellow stars having an angular separation of 0.5 arc-seconds. Will your telescope be able to resolve the two stars? Explain your answer. c) Would you be...
1. Traveling down a long, straight road late at night, a driver notices a light approaching in the distance. After a bit the driver notices that the single light has split into two distinct headlights. Estimate the maximum distance the approaching car can be assuming that the driver’s pupils are 4 mm in diameter, the approaching car’s headlights are 5 ft apart, the headlights emit primarily 580 nm wavelength light, and that the driver’s eyesight is diffraction limited. 2. After...
You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.659 m apart. At what distance, in kilometers, are you marginally able to discern that there are two headlights rather than a single light source? Take the wavelength of the light to be 539 nm and your pupil diameter as 4.77 mm.
If you don't solve this problem correctly in 3 tries, you can get a hint. Use the angular resolution for the Hubble Telescope to determine the smallest detail which it can observe on the moon, if the moon is 3.82 x 10 m away. Assume an average wavelength of 500 nm, and that the telescope's diameter is 2.40 m. The headlights of a car are 1.14 Vm apart. What is the maximum distance at which the eye can resolve these...
Question 1: [20 Points] a) The primary mirror of the orbiting Hubble Space Telescope has a diameter of 2.50 m. Being in orbit, this telescope avoids the degrading effects of atmospheric distortion on its resolution. The Hubble Space Telescope is observing light source coming from a very far away galaxy as shown in the figure above. The scientists are debating whether the light being observed is coming from a single light source or two different light sources. You as a...
Problem 7 (20 points): Each graph below shows the relative intensity versus 0 for a double slit experiment. The horizontal scale is the same for all graphs. The only possible differences among the cases are the values of the slit width (a) and distance between the centers of the slits (d). Case For each of the three cases, calculate the ratio- a) 0.5 b) Rank the cases according to distance between the centers Case 2 of the slits (d), from...