Question 1 A particle X with mass of my = 1950m, is moving at speed of v = 0.950c along the x-axis in laboratory frame. The particle decays after 3.14 µs. (Given the mass of an electron me = 9.11 x 10-31 Kg and the charge is 1.62 x 10-19 C.) (a) Calculate the rest energy of an electron in unit of Joules and in unit of MeV. (b) Calculate the value of y for the particle X. (c) Calculate the kinetic energy of the particle X in unit of MeV. (d) Estimate the proper lifetime of the particle X.(The time in its rest frame before it decays.)

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Question 1
A particle X with mass of mx = 1950mę is moving at speed of v = 0.950c along the x-axis
in laboratory frame. The particle decays after 3.14 µs. (Given the mass of an electron me =
9.11 x 10-31Kg and the charge is 1.62 × 10-19 C.)
(a) Calculate the rest energy of an electron in unit of Joules and in unit of MeV.
(b) Calculate the value of y for the particle X.
(c) Calculate the kinetic energy of the particle X in unit of MeV.
(d) Estimate the proper lifetime of the particle X.(The time in its rest frame
before it decays.)
Transcribed Image Text:Question 1 A particle X with mass of mx = 1950mę is moving at speed of v = 0.950c along the x-axis in laboratory frame. The particle decays after 3.14 µs. (Given the mass of an electron me = 9.11 x 10-31Kg and the charge is 1.62 × 10-19 C.) (a) Calculate the rest energy of an electron in unit of Joules and in unit of MeV. (b) Calculate the value of y for the particle X. (c) Calculate the kinetic energy of the particle X in unit of MeV. (d) Estimate the proper lifetime of the particle X.(The time in its rest frame before it decays.)
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