In this problem, you will calculate the difference in the

Chapter , Problem 40

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In this problem, you will calculate the difference in the time of arrival of two neutrinos of different energy from a supernova that is light-years away. Let the energies of the neutrinos be and and assume that the mass of a neutrino is Because the total energies of the neutrinos is so much greater than their rest energies, the neutrinos have speeds that are very nearly equal to and energies that are approximately (a) If and are the times that the neutrinos with speeds and take to travel a distance show that (b) The speed of a neutrino of mass and total energy can be found from (Equation 39-24). Show that when the speed ratio is given approximately by (c) Use the results from Part (a) and Part (b) to calculate for the energies and mass given, and calculate from the result from Part (a)for (d) Repeat the calculation in Part (c) using 20 eV>c2 for the neutrino mass.

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