A particle moving in range (-a < x< a) and having a wavefunction Y(x) = TX sin a a- Calculate the average position (x) b- Calculate the average momentum (px) c- If you that (x?) = a²C;-) and (p?) = %3D 2n2 a2 calculate Ax and Apx
Q: fre c) Two aeroplanes A and B are moving away from one anotherwith a speed of 540 km/hr. The…
A: Given : velocity with which they are moving apart = v = 540 km/hr = 540 x 5/18 = 150 m/s velocity…
Q: 4: Derive the wave equation, or Helmholtz equation, for H, where V x V x A = V(V.A)-V²A
A:
Q: The members of the set of wavefunctions are orthonormal if, for all WA and UB a. JWA* WA dT = 0 and…
A: Given, Orthonormal set of wavefunction
Q: Q4. Define Fourier Integral. Find the Fourier cosine integral represantation of the function Sk if…
A:
Q: 2) Comment on the Phase velocity (Vp) of the waves for increased values of Awo and Δ.Κ.
A: 2. Given Comment on the Phase velocity (Vp) of the waves for increased values of ∆ω and ∆k, as…
Q: Determine the T and f of the wave
A: Time Period (T) of the signal is define as the one Cycle of the signal. Since in the given curve…
Q: Which of the following statements is not a correct description of the dispersive waves? a. The wave…
A: Localized wave packets can be constructed by superposing, in the same region of space, waves of…
Q: How can we understand the instability of a wave from the roots for w or k?
A: It is found that the instability is absolute for almost all values of the flow velocity and…
Q: a) What are generalized co-ordinates? mv² kx² LagrangianL = 2 2 b) Two pendulums of mass 50g each…
A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…
Q: Derive the relationship between phase and group velocity . elaborate the cases where both are equal…
A: Phase velocity of a wave is given by, vp=ωk (1) Equation (1) can be rewritten as, ωp=kvp…
Q: A chord of mass density is used to suspend a mass m as shown. Express the wave speeds of two…
A:
Q: Given a sin-wave that has its maximum at x, = 2 cm at t = 0 %3D sec. Calculate the initial phase…
A: Given, wavelength, λ = 18cm=0.18m At, xo = 0.02(m) and t=0, amplitude is maximum, And this…
Q: 11. Normalize the wavefunction Y(x,t)=cos(2x)e# where i represents time over the region, 0<x<5a, and…
A: The given wave function and its complex conjugate be defined as, ψx=cos2xe-itψ*x=cos2xeit
Q: Advanced Physics Q (i) Find the Fourier Sine and Cosine series of a function which has constant…
A:
Q: no frctlon Iaput: u farce artput i y dksplacement The displacement y is meayured from the…
A:
Q: In a standing wave the amplitude of a particle is fixed, but varies from particle to particle. True…
A: True or False In a standing wave the amplitude of a particle is fixed, but varies from particle to…
Q: Consider an evacuated laser cavity of length 3.0 m. What are the allowed wavelengths and frequencies…
A: LASER is an abbreviation for light amplification based on the stimulated emission of electromagnetic…
Q: tentukan
A: The wavefunction is given as ψ(x)=1058L7L2-X2 To calculate: The expectation value of momentum. The…
Q: e last four are ec
A: Given: Period sequence is N=8 and x~[n]=1 if n=0,1,2,30 if n=4,5,6,7
Q: certain ocean waves travel with a phase velocity (gi 2n2, where g is the acceleration due to…
A:
Q: Question 3 An oblique shock wave has the following data M = 3.0, P = 1 atm, T=288 K, 1=1.4, 0= 20°…
A:
Q: For monatomic atomic chain, prove that the individual atomic displacement is the same for waves with…
A:
Q: If the velocity of a particle is equal to 10cm / sec at a displacement that is 10cm from the…
A:
Q: no. of waues is 6 cm of vaccum is fume as the pumber of waues cm a medium. It The eflechine inder of…
A: To find-Distance (xm)=?Given-Distance in vaccum (xv)=6 cmR.I. of medium (μm)=32
Q: 3. Determine which of the following two functions satisfy the string equation y,, - n'y,, = 0 3.1 y…
A: The string equation is ytt-n2yxx=0
Q: 2. Consider the system pictured: (a) Find normal frequencies for the two masses. (b) Find the…
A:
Q: 11. Which of the following are NOT suitable as wavefunctions? Suitable Wavefunction Not a Suitable…
A: For wavefunction, Wavefunction should be single valued, finite, continuous.
Q: Identify which of the following wavefunctions are "acceptable", that is meet the criteria needed for…
A:
Q: Calculate the diameter and height of a cylindrical PEC (a) cavity (with air as the medium like that…
A: Solution: (a) Let a be the radius of the cylinder, and h be the height of the cylinder, then…
Q: Q/if the rotation constant of the CO₂ moiety is (B-0.4 cm), then the wave number Af (=Af(s)v) to…
A: Answer : We know, the wave number of the absorbed radiation due to the transition from J rotational…
Q: q23
A: The wave functions are given as follows : I) y(x,t) = 5SIn(4x -20t +4)II) y(x,t) = 5Sin(3x -12t +5)…
Q: Q 7: Show that the following harmonic oscillator wavefunctions are orthonormal over the interval -∞…
A: We will first explain the properties of orthonormal functions. We then show that the given functions…
Q: Exhibit 16-3 Four wave functions are given below. Ly(x, t) = 5sin(4x - 20t + 4) II.y(x, t) = 5sin(3x…
A: A simple wave can be written in a general form y=Asin(ωt+kx-φ) Using this general form we will be…
Q: x2 /2 (-00,00) (b) е® (0, 2п ) (е) хе * (0,о0) (b) е *(-0,0) (d) cos x (0, 2т)
A:
Q: ,6. Let h be a given number in the interval (0, T). Find the Fourier cosine series of the function…
A:
Q: 1.) For the potential energy shown in the diagram, V. V3 V2 b sketch qualitatively correct wave…
A:
Q: olve below harmonically excited equation: ds ks = Fo cos St dt
A: Given, ζdsdt+ks=F0 cos Ωts=emtFor homogeneous solutionξm+ks=0ξm+k=0m=-kξs=e-kξt Homogeneous…
Q: Calculate the period of oscillation of ?(x,t) for a particle of mass 1.67 × 10-27 kg in the first…
A: This question can be solved by using quantum mechanical equation.potential well formula
Q: If you know the wavefunction, how do you calculate the average position
A:
Q: Q.1) a) Write the potential energy function for each of the figures below: b) Which of wavefunctions…
A:
Q: Qno 1:- down the Retarded Scalar and vector potentiols b) Show that retarded scalar potentials satis…
A:
Q: Q4. Determine the Fourier transform of g(y) = e¯4y if y> 0 and g(y) = 0 if y < C
A: A Fourier transform is just a mathematical transformation of function which depends on space or time…
Q: 9. The sirens of two ships "A" and "B" have a frequency of 200 Hz and sound simultaneously. The…
A: Two sirens , have the same frequency 200Hz . sound simultaneously . Also , the propagation speed…
Q: 7 The position vs time plot for the tip of the beak of a woodpecker is shown to the right (→). You…
A: Solution: g. The slope of the position time graph gives thevelocity. The slope of the graph at t = 2…
Q: Four successive particles in a body are all vibrating in phase after being distorted by a…
A:
Step by step
Solved in 4 steps