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1.What is prograde and retrograde motion of planets? When does an outer planet exhibit the most pronounced retrograde motion: At opposition or conjunction? Explain?
2.Explain (with diagrams) how Galileo’s observations of Venus showed that Venus must orbit the Sun. Why is it critical in the argument to note that Venus is always fairly close to the Sun in the sky?
3.What are the three strongest Fraunhofer lines of the sun and what causes them?
4.A single rectangular aperture with a width of 0.25 mm and a height of 0.40 mm is illuminated at normal incidence by a uniform plane wave of laser light with a wavelength of 633 nm. The diffraction pattern produced by the aperture is observed on a screen at a distance of 5.0 m from the aperture. The power density at the centre of the diffraction pattern is measured to be 2.0 W/m2.
(a)Verify that the Fraunhofer condition is satisfied in this situation.
(b)What is (a) the width and (b) the height of the central bright maximum of the diffraction pattern, measured between the two dark fringes on either side?
(c)What is the power density half way between the first and second dark fringes on one side of the central maximum?
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5.Monochromatic light with a wavelength of 500nm is incident normally on two slits. The slits are 0.012mm wide and are separated by a center-to-center distance of 0.060mm. On a screen located a distance of 2.0m behind the slits is a diffraction pattern that has a bright central maximum and many bright fringes to each side of the central maximum.
a) How far away from the center of the pattern is the center of the first bright fringe to one side?
b) How far away from the center of the pattern is the center of the second bright fringe to one side?
c) On each side, some of the bright fringes due to the double slit are “missing”. This effect is caused by the finite width of the single slit. Which bright fringe, closest to center, is missing?
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