# ps7 - Assignment #7 PHYSICS 8.284 Due 11:04 am MONDAY 10...

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Assignment #7 PHYSICS 8.284 Due 11:04 am MONDAY 10 April 2006 Reading: Clayton § 4.3 through equation (4-62). Hansen Kawaler 6.3-5; Bohm- §§ Vitense, Volume 2, Chapters 5 (Eddington-Barbier), 6 (Temperature Stratiﬁcation) and 10 (Line Formation) as nedeed. 1. The solar neutrinos observed in the Homestake Mine experiment came from the PP III branch of the proton-proton chain. The limiting reaction is Be 7 + p B 8 + θ which is followed almost immediately by the emission of a positron and a neutrino. a) Take the central temperature of the Sun to be 1 . 5 × 10 7 K, so that kT = 1 . 293 kev. Calculate by how much (expressed as a percent or as a factor) the cen- tral temperature must drop to cause the rate of PP III neutrinos to drop by a factor of 3, which is the observed shortfall. Hint: Calculate the derivative of the natural log of the rate with respect to temperature and ﬁnd the dT which changes the log of the rate by an appropriate amount. b)

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## This note was uploaded on 02/26/2012 for the course PHYS 8.284 taught by Professor Rappaport during the Spring '06 term at MIT.

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ps7 - Assignment #7 PHYSICS 8.284 Due 11:04 am MONDAY 10...

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