![Problem:5 Show that [Ae(kx + Be-k] and [C cos kxD sin kx] are equivalent way of writing the same function of x, find the constants C and D in terms of A and B, and vice versa.](http://img.homeworklib.com/questions/52a48fb0-7373-11ea-89db-f717913f5de9.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
Problem:5 Show that [Ae(kx + Be-k] and [C cos kxD sin kx] are equivalent way of...
Show that sin (kx) and cos (kx) given in Eq. (11-48a) are two independent solutions of...
Show that sin (kx) and cos (kx) given in Eq. (11-48a) are two independent solutions of the differentia equation, Eq. (11-47a). Consider a rectangular wavequide haing dimoneinc 404 We were unable to transcribe this image(11-48a) X(x)- Asin(k,x)+B cos (k,x)
A varying force is given by F=Ae^?kx, where x is the position; A and k are constants that have units of N and m^?1, re...
A varying force is given by F=Ae^?kx, where x is the position; A and k are constants that have units of N and m^?1, respectively. What is the work done when x goes from 0.10 m to infinity? Express your answer in terms of the variables A, k, and appropriate constants. W=
Show that the wavefunction Ѱ = C sin (kx) is a solution of the following Schrödinger’s...
Show that the wavefunction Ѱ = C sin (kx) is a solution of the
following Schrödinger’s equation where V0 is a constant. What is
the energy corresponding to this wavefunction? (14 marks)
Calculate the probability density given by the wavefunctions for
the groud state, first and second excited states. (6
marks)
a) Show that the wavefunction ) = C sin(kx) is a solution of the following Schrödinger's equation h2 d2 2m dx2 V = Et where V is just a...
A free proton has a wave function Psi (x) = A sin (kx), where k =...
A free proton has a wave function Psi (x) = A sin (kx), where k = 1.2 times 10^10 m^-1 What is the proton's lambda? What is the proton's momentum? What is the proton's speed? Normalize Psi (x) if the wave only exists inside an infinite square well with width a = 2.1 m, (so that Psi (x) = A sin (kx) between 0 < x < a and Psi (x) = 0 otherwise).
Can you do (b) and (c) only thank you PrOBleM: SoLuTiONS To THE WAvE EQuATION a)...
Can you do (b) and (c) only thank you
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) -...
Problem 5. (20 pts) In this problem, I wil lead you through a procedure that allows...
Problem 5. (20 pts) In this problem, I wil lead you through a procedure that allows you to write the function f(z) = (2 m) cos(kx-π / 5) + (3 m) sin(kx + π / 4) in cosine form. This method can be extended to write the sum of any frequency as a single cosine function inusoidal f unctions of the same spatia A) Write (2 m) cos(ka-π/5) in quadrature form B) write (3 m) sin(kx+π/4) in quadrature form. C)...
4.1.26 If y has the double sine series Ek by sin kx sin ly, show that...
4.1.26 If y has the double sine series Ek by sin kx sin ly, show that Poisson's equation - Uxx - Wyſ is solved by the double sine series u = b sin kx sin ly/(k? + 1). This is solution with u = 0 on the boundary of the square -1 < x, y <n.
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x,...
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x, t) = -B_max cos(kx + omega t), find the direction of the Poynting vector. in the - y -direction in the +x -direction in the +y -direction in the -x -direction Part B Find the average magnitude of the Poynting vector. Express your answer in terms of the variables E_max, B_max, and appropriate constants (mu 0 or epsilon_0). submit
Which of the following is/are solution to the wave equation, 1. ei(kx-wt) a. b. (cos kx)...
Which of the following is/are solution to the wave equation, 1. ei(kx-wt) a. b. (cos kx) (sin ot) sin et C. e sin (kx - t) d. e COs t e. e 2. A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 x 10 (C) ) A...
Problem 1.Consider the harmonically forced undamped oscillator described by the following ODE:mx′′+kx=F0cosωt, k >0, m >0,...
Problem 1.Consider the harmonically forced
undamped oscillator described by the following ODE:mx′′+kx=F0cosωt,
k >0, m >0, ω >0, F0∈R.
Problem 1. Consider the harmonically forced undamped oscillator described by the following ODE: mx" + kx = Fo cos wt, k > 0, m > 0,w > 0, F0 E R. (1) a) Suppose wa #k/m. Find the general solution of the ODE ). b) Consider the initial value problem of the ODE () with initial conditions x(0) = 0 and...
Show that sin (kx) and cos (kx) given in Eq. (11-48a) are two independent solutions of the differentia equation, Eq. (11-47a). Consider a rectangular wavequide haing dimoneinc 404 We were unable to transcribe this image(11-48a) X(x)- Asin(k,x)+B cos (k,x)
Show that the wavefunction Ѱ = C sin (kx) is a solution of the
following Schrödinger’s equation where V0 is a constant. What is
the energy corresponding to this wavefunction? (14 marks)
Calculate the probability density given by the wavefunctions for
the groud state, first and second excited states. (6
marks)
a) Show that the wavefunction ) = C sin(kx) is a solution of the following Schrödinger's equation h2 d2 2m dx2 V = Et where V is just a...
A free proton has a wave function Psi (x) = A sin (kx), where k = 1.2 times 10^10 m^-1 What is the proton's lambda? What is the proton's momentum? What is the proton's speed? Normalize Psi (x) if the wave only exists inside an infinite square well with width a = 2.1 m, (so that Psi (x) = A sin (kx) between 0 < x < a and Psi (x) = 0 otherwise).
Can you do (b) and (c) only thank you
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions satisfy the wave equation 1. g(z, t)-A cos(kr - wt) where A, k, w are positive constants 2. h(z,t)-Ae-(kz-wt)2 where A, k, ω are positive constants 3. p(x, t) A sinh(kx-wt) where A, k,w are positive constants 4. q(z, t) - Ae(atut) where A,a, w are positive constants 5. An arbitrary function: f(x, t) -...
Problem 5. (20 pts) In this problem, I wil lead you through a procedure that allows you to write the function f(z) = (2 m) cos(kx-π / 5) + (3 m) sin(kx + π / 4) in cosine form. This method can be extended to write the sum of any frequency as a single cosine function inusoidal f unctions of the same spatia A) Write (2 m) cos(ka-π/5) in quadrature form B) write (3 m) sin(kx+π/4) in quadrature form. C)...
4.1.26 If y has the double sine series Ek by sin kx sin ly, show that Poisson's equation - Uxx - Wyſ is solved by the double sine series u = b sin kx sin ly/(k? + 1). This is solution with u = 0 on the boundary of the square -1 < x, y <n.
For the electromagnetic wave represented by the equations E_y(x, t) = E_max cos(kx + Wt), B_z(x, t) = -B_max cos(kx + omega t), find the direction of the Poynting vector. in the - y -direction in the +x -direction in the +y -direction in the -x -direction Part B Find the average magnitude of the Poynting vector. Express your answer in terms of the variables E_max, B_max, and appropriate constants (mu 0 or epsilon_0). submit
Which of the following is/are solution to the wave equation, 1. ei(kx-wt) a. b. (cos kx) (sin ot) sin et C. e sin (kx - t) d. e COs t e. e 2. A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 x 10 (C) ) A...
Problem 1.Consider the harmonically forced
undamped oscillator described by the following ODE:mx′′+kx=F0cosωt,
k >0, m >0, ω >0, F0∈R.
Problem 1. Consider the harmonically forced undamped oscillator described by the following ODE: mx" + kx = Fo cos wt, k > 0, m > 0,w > 0, F0 E R. (1) a) Suppose wa #k/m. Find the general solution of the ODE ). b) Consider the initial value problem of the ODE () with initial conditions x(0) = 0 and...
Most questions answered within 3 hours.
-
Please explain steps:
An 80 kg swimmer steps off a platform 10 m above the water...
asked 10 minutes ago -
A lottery exists where balls numbered 1 to 17 are placed in an
urn. To win,...
asked 13 minutes ago -
26) Briefly describe, using words or simple diagrams, the
chemiosmotic theory for coupling oxidation to phosphorylation...
asked 2 hours ago -
Suppose that XX is a random variable with mean 16 and standard
deviation 5 . Also...
asked 2 hours ago -
Calculate the number density of argon gas at a temperature of
24C and a pressure of...
asked 6 hours ago -
Alternative
Classification
How to Estimate
Probabilities from Data? ( For continuous Attributes)
And How to generate...
asked 6 hours ago -
An explosion breaks a 20.0-kg object into three parts. The
object is initially moving at a...
asked 7 hours ago -
Calculate the approximate number of residues of Rubisco, which
is involved in carbon fixation in plants,...
asked 8 hours ago -
Other decisions about scientific claims can have a much broader
impact.ENERGYarrow-10x10.png, environment, health, security - all...
asked 8 hours ago -
I need to write a research paper and work cited about this
topic: The United States...
asked 9 hours ago -
Hello! I was wondering if I could have some help?
If the vapor pressure of carvone...
asked 9 hours ago -
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a...
asked 10 hours ago