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# hw5 - Homework Problem Set No 5 Physics 17 Due in class...

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Homework Problem Set No. 5 – Physics 17 Due in class, Wednesday, November 5 1. Radioactive decay can be described by Poisson statistics. There are many particles but in a given time interval, the probability of decay is very small. Assume that in 1 minute, a sample exhibits 100 radioactive decays. Calculate the probability of ﬁnding 0, 1, 2, 3 and 4 decays in any 1-second interval. 2. One way to search for extrasolar planets is to look for “dips” in the light from a star it is eclipsed by a transiting planet. Assume that the “dip” produced by a planet re- duces the light from the star by 1% so that we still get 99% of the light. Ignoring problems caused by the Earth’s atmosphere or instrumental ﬂuctations, how many photons need we receive to have “high conﬁdence” that the source is variable at the 1% level? [Assume “high conﬁdence” means that the result has less than 0.1% of occurring by chance.] 3. Consider a circle of radius r that is centered on the origin in the

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hw5 - Homework Problem Set No 5 Physics 17 Due in class...

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