A particle with mass m is in the state mx V (x,t) = Ae +iat 2h where A and a are positive real constants. Normalise V and calculate A.

Q: Consider the normal modes of a linear chain in which the force constants between nearest- neighbor…

A: Solution: Let the alternating force constants be C1 and C2. The force constant C1 is on the left…

Q: corresponding value of x and log, (305,2.4843) Certain mre (300,2.4771), and (304,2.4829),…

A: The value of x and log10x are given below: (300, 2.4771), (304, 2.4829), (305, 2.4843), and (307,…

Q: Is the following total differential exact? df(g,h) = 7g(g^3+ h^2)jdg + 2h^4(3g^2 + 7h^2)jdh. Could…

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Q: A triangle in the xy plane is defined with = (0,0), (0, 2) and corners at (x,y) (4, 2). We want to…

A: The triangle has corners at (x,y)=(0,0), (0,2) and (4,2). We have a function f(x,y) which we need to…

Q: A spin 1/2 system is known to be in an eigenstate of Sn (Sa+S₂)/√2 with eigenvalue +ħ/2. Find the…

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Q: What does your result for the potential energy U(x=+L) become in the limit a→0?

A: We want to calculate lima→0qQ8πε0alnL+aL-a=qQ8πε0lima→0lnL+aL-aa

Q: A particle with mass m is moving along the x-axis in a potential given by the potential energy…

A: The potential energy function U(x)=0.5mω2x2 describes a simple harmonic oscillator in quantum…

Q: We have a free particle in one dimension at a time t = 0, the initial wave function is V (x, 0) =…

A: To answer the question, we first write the Normalization condition for a wave function, and then use…

Q: 2nx sin 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 1.50.…

A: The general form of the wavefunction of the particle inside a 3D box is given by, ψ=8V × sinnxπxLx ×…

Q: This question has to do with binary star systems, where 'i' is the angle of inclination of the…

A: For a binary star system, the ratio of their velocities and their masses are related as,

Q: Consider an atom with two states having ground state energy zero and first excited state energy 1…

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Q: According to the equipartition theorem of classical thermodynamics, all ocillators in the cavity…

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Q: Let X be a random variable whose density is given by the formula f(x) =  cx2  if    x ∈ (0, 2)…

A: Given: The density is given by,  f(x)=cx2 if x∈0,20 if otherwise Introduction: A random variable is…

Q: Consider a classical harmonic oscillator consisting of a mass m and a spring constant k having a…

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Q: A three-dimensional harmonic oscillator of mass m has the potential energy zmw*x² +mw*y² +mwžz²…

A: Given A three-dimensional harmonic oscillator of mass m has the potential energy. V x,y,z =12 mω2 x2…

Q: A car travels at a constant speed of 70 miles per hour. The distance the car travels in miles is a…

A: Note: As per our guidelines, we are supposed to answer only one question. Kindly repost the other…

Q: What is y(x) given that d²y dx² +4e-2x = 0 where you have the boundary conditions: dy dx y = yo (a…

A: I have use the integration to solve this

Q: |jm) is an eigenstate of £2, then its eigenvalue is j(j+1)ħ², Z True False

A: False.   If |j, m⟩ is an eigenstate of the operator corresponding to the square of the orbital…