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Show detailed steps for the following questions In a single-slit interference experiment, a laser passes through an opening of 42.0m. The pattern forms on a

Show detailed steps for the following questions

  • In a single-slit interference experiment, a laser passes through an opening of 42.0m. The pattern forms on a screen that is 2.90m from the slits. The sixteenth dark fringe is 51.0cm from the center of the central bright fringe. What is the angular position of this dark fringe and what is the wavelength of the laser? Show as much work as possible.
  • A diverging lens has a focal length of 16.0cm , you decide which. An object is placed 24.0cm in front of the lens. What is the image distance?
  • In a material light travels at 1.23x108m/s . Another material has an index of refraction of 1.58 . Can light in one of these materials be totally internally reflected at an interface between the two? If yes, what is the critical angle?
  • A concave mirror has a radius of curvature of 48.0cm , you decide which. An object is placed 15.0cm in front of the mirror. What is the image distance?
  • Dr. Evil and Dr. Strange are flying in their rockets. Dr. Evil flies away from Dr. Strange at 3.30x105m/s. Dr. Strange flies toward Dr. Evil at 5.80x105m/s. What is their relative velocity?
  • A 625nm laser has an intensity (this really means average intensity) of 0.790mW/mm2. What is the amplitude of the electric field, and what is the amplitude of the magnetic field, in the beam? Show as much work as possible.
  • Dr. Evil is an avid bird watcher. He is using a telescope with a 3.00inch (that is 7.62cm) aperture to look at two eggs that are 1.93cm apart, in a bird's nest. Assuming a wavelength for light of 600.nm, what is the minimum angular separation of the eggs and what is the farthest that the nest can be from Dr. Evil, for Dr. Evil to be able to distinguish two separate eggs? Show as much work as possible.

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