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Chapter 44: Q52P (page 1368)

Calculate the difference in mass, in kilograms, between the muon and pion of Sample Problem 44.01.

Short Answer

Expert verified

The difference in mass between the pion and muon is 6.03×10-29kg.

Step by step solution

01

Given data

The interaction provided is

π+→μ++ν

02

Rest mass of muon and pion

The muon rest mass is

m0μ=105.7MeV/c2.......1

The pion rest mass is

role="math" localid="1663137427708" m0π=139.6MeV/c2........2

Here, c is the speed of light in vacuum with value

c=3×108m/s

03

Determining the difference in masses of muon and pion

From equations (I) and (II), the difference in the masses of muon and pion are

m0π-m0μ=139.6MeV/c2-105.7MeV/c2=33.93×1082·1MeV×1.602×10-13kg·m2/s21MeV·11m2/s2=6.03×10-29kg

Thus, the difference is =6.03×10-29kg.

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Most popular questions from this chapter

Certain theories predict that the proton is unstable, with a half-life of about 1032 years. Assuming that this is true, calculate the number ofproton decays you would expect to occur in one year in the water ofan Olympic-sized swimming pool holding 4.32 x 105L of water.

Which conservation law is violated in each of these proposed reactions and decays? (Assume that the products have zero orbital angular momentum.)

(a)∧0→pK-;(b)Ω-→∑-+π0(S=-3,q=-1,m=162MeV/c2,andms=32forΩ);(c)K-+p→∧0+π+

Does the proposed reaction

P+P¯→λ°+∑++e-

conserve (a) charge, (b) baryon number, (c) electron lepton number, (d) spin angular momentum, (e) strangeness, and (f) muon lepton number?

Consider the neutrino whose symbol is ντ¯ . (a) Is it a quark, a

lepton, a meson, or a baryon? (b) Is it a particle or an antiparticle? (c) Is it a boson or a fermion? (d) Is it stable against spontaneous decay?

Question: Figure 44-12 is a hypothetical plot of the recessional speeds v of galaxies against their distance r from us; the best-fit straight line through the data points is shown. From this plot determine the age of the universe, assuming that Hubble’s law holds, and that Hubble’s constant has always had the same value.
See all solutions

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