answer this question with
steps:
Homework Answers
Add Answer to:
answer this question with
steps:
3. In special relativity, the kinetic energy of a particle of...
for relativistic particles, the single particle density of states was given by g(E) =(g_sV E/ 2π^2h^3...
for relativistic particles, the single particle density of
states was given by
g(E) =(g_sV E/ 2π^2h^3 c^3) E
≥ mc^2. For an ideal gas of relativistic fermions at zero
temperature, show that the Fermi energy is
EF =
(Usually the zero point energy is not important, and so people
often subtract it off, quoting the result above minus mc^2. For
instance, this is what you need to do to match with the
non-relativistic result.) At very high densities, the second term...
Special Relativity A photon of energy E collides with a stationary particle of rest mass m0...
Special Relativity A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed. What is the velocity of the resulting composite particle? NOTE: I used consrvation of momentum: p(before) = p(after), therefore p/c (energy of photon) = gamma*m0*v and solved for v. Apparently this is incorrect????
show full work and solve all parts Problem 8 (momentum and energy in special relativity) (8...
show full work and solve all parts
Problem 8 (momentum and energy in special relativity) (8 points) A particle of mass m, moving at speed ? 0.945c, collides with an identical particle that is at rest. The two particles react to produce a new particle of mass M and nothing else. (Use the following as necessary: c and m.) (a) What is the speed V of the composite particle in terms of the speed of light? (b) What is its...
3. The Lagrangian for a relativistic particle of (rest) mass m is L=-me²/1- (A² - Elmo...
3. The Lagrangian for a relativistic particle of (rest) mass m is L=-me²/1- (A² - Elmo (The corresponding action S = ( L dt is simply the length of the particle's path through space-time.) (a) Show that in the nonrelativistic limit (v << c) the result is the correct nonrelativistic kinetic energy, plus a constant corresponding to the particle's rest energy. (Hint. Use the binomial expansion: for small 2, (1 + 2) = 1 +a +a(-1) + a(a-1)(-2) 13 +...
(a) The Michelson-Morley experiment, which contributed to the formulation of the theory of relati...
(a) The Michelson-Morley experiment, which contributed to the formulation of the theory of relativity, involved the difference between two times t and t2 that light took to travel between two points. If v is velocity; 1,2 anmd c are constants; and v
3. (a) Show that for a freely moving matter particle (in a zero potential energy region)...
3. (a) Show that for a freely moving matter particle (in a zero potential energy region) that the wave function: Ψ(x, t) ei(kx-at) is a solution to the time-dependent Schrödinger equation if the angular frequency o(k) is a function of the wavenumber k, given by hk2 o(k) = (b) Show that the group velocity vg for a packet of waves having o(k) from part (a) is equal to the particle velocity v from the non-relativistic momentum relation p = mv....
3. A nonlinear system: In class we learned how to use Taylor expansion up to the 1* order term to...
3. A nonlinear system: In class we learned how to use Taylor expansion up to the 1* order term to solve a system of two non-linear equations; u(x.y)- 0 and v(x.y)-0. This method is also called Newton-Raphson method. (a) As we did in lecture, expand u and v in Taylor series up to the 1st order and obtain the iterative formulas of the method. (In the exam you should have this ready in your formula sheet). 1.2) as an initial...
Answer all of the questions: Reference: (Problem 3, don't need to answer this) (25 pts) Consider...
Answer all of the questions:
Reference: (Problem 3, don't need to answer
this)
(25 pts) Consider a Harmonic Oscillator for a particle of mass m in a potential V = kx?, and with an added perturbation H' = Ex4. a. Find the first order correction to the energy of the nth state. b. Are there non-zero 2nd order corrections to the energy? Explain. c. Are there values for n where the first-order approximation breaks down? Explain physically why this makes...
can you helpme of third one problem Show that the threshold kinetic energy in the Laboratory...
can you helpme of third one problem
Show that the threshold kinetic energy in the Laboratory for the production of n pions in the collision of protons with a hydrogen target is given by T= 2nm (1 + nm,/4mp) where m, and mp are respectively the pion and proton masses. A gamma ray interacts with a stationary proton and produces a neutral pion according to the scheme y + p → P +7° Calculate the threshold energy given Mp =...
D Question 3 6 pts Short Answer 3. (6 pts) An alpha particle is simply a...
D Question 3 6 pts Short Answer 3. (6 pts) An alpha particle is simply a helium atom stripped of its electrons (i.e., it is the nucleus of a helium atom, which consists of two protons and two neutrons). If this alpha particle is accelerated through a potential difference of 588 V, how much kinetic energy does it gain in units of eV (electron volts)? Answer to at least three significant figures. 1 eV = 1.6 x 10-19 J and...
for relativistic particles, the single particle density of
states was given by
g(E) =(g_sV E/ 2π^2h^3 c^3) E
≥ mc^2. For an ideal gas of relativistic fermions at zero
temperature, show that the Fermi energy is
EF =
(Usually the zero point energy is not important, and so people
often subtract it off, quoting the result above minus mc^2. For
instance, this is what you need to do to match with the
non-relativistic result.) At very high densities, the second term...
show full work and solve all parts
Problem 8 (momentum and energy in special relativity) (8 points) A particle of mass m, moving at speed ? 0.945c, collides with an identical particle that is at rest. The two particles react to produce a new particle of mass M and nothing else. (Use the following as necessary: c and m.) (a) What is the speed V of the composite particle in terms of the speed of light? (b) What is its...
3. The Lagrangian for a relativistic particle of (rest) mass m is L=-me²/1- (A² - Elmo (The corresponding action S = ( L dt is simply the length of the particle's path through space-time.) (a) Show that in the nonrelativistic limit (v << c) the result is the correct nonrelativistic kinetic energy, plus a constant corresponding to the particle's rest energy. (Hint. Use the binomial expansion: for small 2, (1 + 2) = 1 +a +a(-1) + a(a-1)(-2) 13 +...
(a) The Michelson-Morley experiment, which contributed to the formulation of the theory of relativity, involved the difference between two times t and t2 that light took to travel between two points. If v is velocity; 1,2 anmd c are constants; and v
3. (a) Show that for a freely moving matter particle (in a zero potential energy region) that the wave function: Ψ(x, t) ei(kx-at) is a solution to the time-dependent Schrödinger equation if the angular frequency o(k) is a function of the wavenumber k, given by hk2 o(k) = (b) Show that the group velocity vg for a packet of waves having o(k) from part (a) is equal to the particle velocity v from the non-relativistic momentum relation p = mv....
3. A nonlinear system: In class we learned how to use Taylor expansion up to the 1* order term to solve a system of two non-linear equations; u(x.y)- 0 and v(x.y)-0. This method is also called Newton-Raphson method. (a) As we did in lecture, expand u and v in Taylor series up to the 1st order and obtain the iterative formulas of the method. (In the exam you should have this ready in your formula sheet). 1.2) as an initial...
Answer all of the questions:
Reference: (Problem 3, don't need to answer
this)
(25 pts) Consider a Harmonic Oscillator for a particle of mass m in a potential V = kx?, and with an added perturbation H' = Ex4. a. Find the first order correction to the energy of the nth state. b. Are there non-zero 2nd order corrections to the energy? Explain. c. Are there values for n where the first-order approximation breaks down? Explain physically why this makes...
can you helpme of third one problem
Show that the threshold kinetic energy in the Laboratory for the production of n pions in the collision of protons with a hydrogen target is given by T= 2nm (1 + nm,/4mp) where m, and mp are respectively the pion and proton masses. A gamma ray interacts with a stationary proton and produces a neutral pion according to the scheme y + p → P +7° Calculate the threshold energy given Mp =...
D Question 3 6 pts Short Answer 3. (6 pts) An alpha particle is simply a helium atom stripped of its electrons (i.e., it is the nucleus of a helium atom, which consists of two protons and two neutrons). If this alpha particle is accelerated through a potential difference of 588 V, how much kinetic energy does it gain in units of eV (electron volts)? Answer to at least three significant figures. 1 eV = 1.6 x 10-19 J and...
Most questions answered within 3 hours.
-
If we observe in a protein solution that DNA is causing a
mixture 260/280 ratio ~0.9,...
asked 4 minutes ago -
Explain the steps involved in making cDNA from mRNA, and how you
would create a cDNA...
asked 5 minutes ago -
A beta (β) particle is described by which of the following?
Select the correct answer below:...
asked 8 minutes ago -
A new machine costs $150,000, lasts 10 years, has an annual
O&M cost of $50,000, and...
asked 11 minutes ago -
A newspaper in a large Midwestern city reported that the
National Association of Realtors said that...
asked 13 minutes ago -
1. Develop a use case diagram for the bank case study described
in Chapter 1. 2....
asked 22 minutes ago -
The phylum Protista has often been referred to as a junk drawer
of classification. Explain what...
asked 29 minutes ago -
The average amount of money spent for lunch per person in the
college cafeteria is $7.09...
asked 31 minutes ago -
You follow the lab procedure and at the end of Part 4C, you used
an average...
asked 50 minutes ago -
Write 250-450 words, about the following: • Analyze how a
servant leader in your organization or...
asked 54 minutes ago -
3. American and Japanese workers can each produce 4 cars a
year. An American worker can...
asked 57 minutes ago -
On October 1, 20X1, a company purchased a piece of land by
agreeing to pay the...
asked 1 hour ago