Plans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity γ = 1 1 − v 2 / c 2 be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?
Plans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity γ = 1 1 − v 2 / c 2 be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?
Plans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity
γ
=
1
1
−
v
2
/
c
2
be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?
The figure (Figure 1) shows representations of six
thermodynamic states of the same ideal gas sample.
Figure
1 of 1
Part A
■Review | Constants
Rank the states on the basis of the pressure of the gas sample at each state.
Rank pressure from highest to lowest. To rank items as equivalent, overlap them.
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highest
0
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B
F
A
D
E
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Part A
m
2πkT
) 3/2
Calculate the integral (v) = f vƒ (v)dv. The function f(v) describing the actual distribution of molecular speeds is called the Maxwell-Boltzmann distribution,
=
ƒ(v) = 4π (· v²e-mv²/2kT
. (Hint: Make the change of variable v² =x and use the tabulated integral foxne
integer and a is a positive constant.)
Express your answer in terms of the variables T, m, and appropriate constants.
-ax dx
n!
-
an+1
where n is a positive
(v)
=
ΕΠΙ ΑΣΦ
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