Consider the Potential V(r) =Vo (c/r) exp (-r/c) (where c is a constant) and a deutron...

Consider the Potential V(r) =Vo (c/r) exp (-r/c) (where c is a constant) and a deutron of reduced mass m moving in this potential . (a) Using a trial wave function R(r) = exp (- d *r / c) (d is constant ) find the ground state energy if Vo= 1.35 (b) If one bound state energy is -2.2 find Vo

Expert Solution

genius_generous answered 2 years ago

Find the all the bound state energies for the potential V = - Vo

Consider a spherical shell of mass density ?m = (A/r) exp[ -(r/R)2], where A = 4...

Consider a spherical shell of mass density ?m = (A/r) exp[ -(r/R)2], where A = 4 x 104 kg m-2. The inner and outer shell radii are 3R and 4R respectively where R = 6 x 106. Find the inward gravitational acceleration on a particle of mass mp at a position of 4R. The spherical di erent is dV = r2 dr sin? d? d?. A) 9.00 m/s2 B) 2.36 m/s2 C) 9.3 m/s2 D) 2.3 m/s2 E) 3.00 m/s2

Consider the potential well defined by V(x)= {0 -L/2<x<L/2} {Vo x>L/2 or x<L/2} 1. For E>Vo...

Consider the potential well defined by V(x)= {0 -L/2<x<L/2} {Vo x>L/2 or x<L/2} 1. For E>Vo (unbound state, find the solutions to the time-independent Schroedinger equation for a particle incident from the left and traveling to the right(Use boundary conditions to evaluate coefficients A-F) 2. Find expressions for the transmission and reflection as a function of energy. 3. Find the necessary conditions for perfect transmission. Interpret this condition on physical grounds (note that k=2pi/gamma, which reflects the wave vector ,k,...

A. According to Equation 20.7, an ac voltage V is given as a function of time t by V = Vo sin 2ft, where Vo is the peak voltage and f is the frequency (in hertz).

A. According to Equation 20.7, an ac voltage V is given as a function of time t by V = Vo sin 2ft, where Vo is the peak voltage and f is the frequency (in hertz). For a frequency of 56.0 Hz, what is the smallest value of the time at which the voltage equals one-half of the peak-value? B. The rms current in a copy machine is 7.36 A, and the resistance of the machine is 19.8Ω. What...

Consider an RC circuit with E = 12.0 V ,R = 165 Ω , and C...

Consider an RC circuit with E = 12.0 V ,R = 165 Ω , and C = 55.6 μF . A) Find the time constant for the circuit. B) Find the maximum charge on the capacitor. C) Find the initial current in the circuit.

For particles incident on a step potential with E<Vo, show that T=0 using T+R=1

Consider the velocity potential phi = -k( y^2 - x^2 ) where k is a constant....

Consider the velocity potential phi = -k( y^2 - x^2 ) where k is a constant. This velocity potential is commonly used to describe flow impinging upon a plate. Derive an equation for dP/dy, the pressure gradient in the y-direction, if the fluid has density, rho.

Sophie's given utility function is U(V, C) = VC + V where V = # of...

Sophie's given utility function is U(V, C) = VC + V where V = # of visits per month and C = # of minutes per month (hundreds). V = $1 and C = $4 and M = $44. a) Calculate the equation that represents the consumers demand for number of visits (V). b) Say that V increases to $16. Calculate the new equilibrium. Compute Sophie's substitution and income effect and represent it within a diagram.

Q1. For the given velocity distribution in a pipe: where v(r)=velocity at a distance r...

Q1. For the given velocity distribution in a pipe: where v(r)=velocity at a distance r from the centerline of the pipe, V0=centerline velocity, and R=radius of the pipe. Find the average velocity, energy and momentum correction factors.

Consider an incompressible flow in cylindrical coordinates with velocity field v = Cr^(a) θ^ where C...

Consider an incompressible flow in cylindrical coordinates with velocity field v = Cr^(a) θ^ where C is a constant (a) Show that the flow satisfies the Navier-Stokes equations for only two values of a. (b) Given that p(r; θ; z) = p(r) only, and neglecting gravity, find the pressure distribution for each case, assuming that the pressure at r = R is p0

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