Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 43, Problem 45P
To determine

To calculate:

(a) the rate at which the Sun generates neutrinos.

(b) the rate at which the Sun’s neutrinos reach the Earth

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The probability of two protons tunneling in the Sun's core is Ptunnel 1010. This means that out of each 1010 pairs of protons, one pair tunnels successfully. Make an estimate showing that this probability can account for the 1038 fusion reactions that take place each second in the Sun's core. Hint: Assume that the Sun's core contains about 40% of its mass.
(a) Calculate the rate at which the Sun generates neutrinos. Assume that energy production is entirely by the proton–proton fusion cycle. (b) At what rate do solar neutrinos reach Earth?
The power output of the Sun is 4 × 1026 W. Part (a)  If 93 % of this is supplied by the proton-proton cycle, how many protons are consumed per second?   Part (b)  How many neutrinos per second should be incident on every square meter of the Earth from this process? This huge number is indicative of how rarely a neutrino interacts, since large detectors observe very few per day.
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