Homework Answers
Add Answer to:
P(x,t) = Aeixe-ißt a) Show that the above function is a wave by showing that it...
P(x,t) = Aeixe-ißt a) Show that the above function is a wave by showing that it satisfies the wave equation. A, a,...
P(x,t) = Aeixe-ißt a) Show that the above function is a wave by showing that it satisfies the wave equation. A, a, B are arbitrary constants, i is the unit imaginary number. b) Find the wave speed where a = 1, B = 4, and A-3.
PrOBleM: SoLuTiONS To THE WAvE EQuATION a) By direct substitution determine which of the following functions...
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) - f(kx -wt) where k and w are positive constants....
Consider a particle of mass m that is described by the wave function (x, t) =...
Consider a particle of mass m that is described by the wave function (x, t) = Ce~iwte-(x/l)2 where C and l are real and positive constants, with / being the characteristic length-scale in the problem Calculate the expectation values of position values of 2 and p2. and momentum p, as well as the expectation Find the standard deviations O and op. Are they consistent with the uncertainty principle? to be independent What should be the form of the potential energy...
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) -...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x,...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
1. (5pts) Ch. 6, problem 3 Show directly that the trial wave function 4(x,t) = A...
1. (5pts) Ch. 6, problem 3 Show directly that the trial wave function 4(x,t) = A e i(kx-wt) satisfies Equation (6.1). Hint: you first need to show that the potential needs to be a constant, and second that there is a relation between w and k that must be satisfied. ay(x, t) ħ¥(x, t) ?+ V¥(x, t) 2m x2 (6.1) at
Consider the following wave function: y(x, t) = cos(kx - omega t). a. Show that the...
Consider the following wave function: y(x, t) = cos(kx - omega t). a. Show that the above function is an eigenfunction of the operator partialdifferential^2/partialdifferential x^2[...] and determine its eigenvalue. b. Show that the above function is a solution of the wave equation expressed as partialdifferential^2 y(x, t)/partialdifferential x^2 = 1/v^2 partialdifferential^2 y(x, t)/partialdifferential t^2, given the wave velocity is v = omega/k (where omega = 2 pi V and k = 2pi/lambda).
check whether the function E(x,t)= Asin(kx^2-wt^2) satisfies the wave equation. if so, find the wave speed....
check whether the function E(x,t)= Asin(kx^2-wt^2) satisfies the wave equation. if so, find the wave speed. if not explain
A wave is modeled with the function y ( x , t ) = 0 ....
A wave is modeled with the function y ( x , t ) = 0 . 2 5 cos ( 0 . 3 0 x − 0 . 9 0 t + π/ 3 ) where all lengths are in meters and all times in seconds. a. Find the wavelength of the wave. b. Find the period of the wave. c. Find the wave speed (a positive number). d. What is the instantaneous velocity of one of the particles that...
A transverse wave on a taunt string is modeled with the wave function: y_(x, t) =...
A transverse wave on a taunt string is modeled with the wave function: y_(x, t) = 0.5m sin (5.0 m^-1 - 2.50 s^-1 t) Determine: (i) the amplitude of the wave. (ii) the wavelength of the wave, (iii) speed of the wave, (iv) the period of the wave, (v) the frequency of the wave. (a) state the laws of reflection and refraction.(b) Ray diagrams arc used to determine where the image of an object is formed. Using a scale of...
P(x,t) = Aeixe-ißt a) Show that the above function is a wave by showing that it satisfies the wave equation. A, a, B are arbitrary constants, i is the unit imaginary number. b) Find the wave speed where a = 1, B = 4, and A-3.
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) - f(kx -wt) where k and w are positive constants....
Consider a particle of mass m that is described by the wave function (x, t) = Ce~iwte-(x/l)2 where C and l are real and positive constants, with / being the characteristic length-scale in the problem Calculate the expectation values of position values of 2 and p2. and momentum p, as well as the expectation Find the standard deviations O and op. Are they consistent with the uncertainty principle? to be independent What should be the form of the potential energy...
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) -...
1. (5pts) Ch. 6, problem 3 Show directly that the trial wave function 4(x,t) = A e i(kx-wt) satisfies Equation (6.1). Hint: you first need to show that the potential needs to be a constant, and second that there is a relation between w and k that must be satisfied. ay(x, t) ħ¥(x, t) ?+ V¥(x, t) 2m x2 (6.1) at
Consider the following wave function: y(x, t) = cos(kx - omega t). a. Show that the above function is an eigenfunction of the operator partialdifferential^2/partialdifferential x^2[...] and determine its eigenvalue. b. Show that the above function is a solution of the wave equation expressed as partialdifferential^2 y(x, t)/partialdifferential x^2 = 1/v^2 partialdifferential^2 y(x, t)/partialdifferential t^2, given the wave velocity is v = omega/k (where omega = 2 pi V and k = 2pi/lambda).
A transverse wave on a taunt string is modeled with the wave function: y_(x, t) = 0.5m sin (5.0 m^-1 - 2.50 s^-1 t) Determine: (i) the amplitude of the wave. (ii) the wavelength of the wave, (iii) speed of the wave, (iv) the period of the wave, (v) the frequency of the wave. (a) state the laws of reflection and refraction.(b) Ray diagrams arc used to determine where the image of an object is formed. Using a scale of...
Most questions answered within 3 hours.
-
The mean cost of domestic airfares in the United States rose to
an all-time high of...
asked 10 minutes ago -
1.Magazine Luiza is a Brazilian retail chain for consumer
electronics. The company currently has 100 stores...
asked 9 minutes ago -
What is the molarity of ZnCl2 that forms when 25.0 g of zinc
completely reacts with...
asked 10 minutes ago -
For independent X and Y, we have probability density function
for them where pdf of X...
asked 21 minutes ago -
The decomposition of SO2Cl2 is first order in SO2Cl2 and has a
rate constant of 1.42...
asked 17 minutes ago -
How do I convert from volume percent to mole percent in the
distillation lab? ethy acetate...
asked 24 minutes ago -
8. An air-plane has an effective wing surface area of 14.0 m²
that is generating the...
asked 25 minutes ago -
A railroad worker was a person who worked on setting and moving
railroad tracks. In securing...
asked 23 minutes ago -
using RECURSIVE Functions in Java, create a public static String
doubleLetters (String word)
For ex) that...
asked 30 minutes ago -
With a $16 Trillion national ebt, and projected annual budget
eficits in excess of $1 Trillion...
asked 44 minutes ago -
A machine shop owner wishes to assign each of three machinists
(labeled 1, 2, and 3)...
asked 59 minutes ago -
Regarding language development, which of the following
statements is FALSE?
Babies are able to cry from...
asked 58 minutes ago