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Q. A nonreflective coating of magnesium fluoride (n = 1.31) covers the glass (n = 1.52) of a camera lens. Assuming that the coating prevents reflection of yellow-green light (wavelength in vacuum = 568 nm), determine the minimum nonzero thickness that the coating can have.

Q. A shotgun fires a large number of pellets upward, with some pellets traveling very nearly vertically and others as much as 1.0o from the vertical. Assume that the initial speed of the pellets is uniformly 150ms-1 and ignore air resistance.

a) Within what radius from the point of firing will the pellets land?

b) If there are 1000 pellets, and they fall in a uniform distribution over a circle with the radius calculated in part a, what is the probability that at least one pellet will fall on the head of the person who fires the gun?

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