Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
The deuteron is a nucleus of "heavy hydrogen" consisting of one proton and one neutron. As a simple model for this nucleus, consider a single particle of mass m moving in a fixed spherically-symmetric potential V(r), defined by V(r)=-V0 for r<r0 and V(r)=0 for r>r0. This is called a spherical square-well potential. Assume that the particle is in a bound state with l=0.
a) Find the general solution R(r) to the radial Schrodinger equation for r<r0 and r>r0. Use the fact that the wave function must be finite at 0 and infinity to simplify the solution as much as possible. (You do not have to normalize the solutions)
b) The deuteron is only just bound; i.e., E is nearly eqaul to 0. Take m to be the proton mass, m=1.67x10^(-27) kg, and take r0 to be a typical nuclear radius, r0=1x10^(-15) m. Find the value of V0 (the depth of the potential well) in MeV (1 MeV = 1.6x10^(-13) J).
(Hint: The continuity conditions at r0 must be used. The radial wave function R(r) and its derivative R'(r) must both be continuous at r0; this is equivalent to requiring that u(r) and u'(r) must both be continuous at r0, where u(r)=rR(r). The resulting equations cannot be solved exactly but can be used to derive the value for V0.)
A weather emergency siren is mounted on a tower, 165 meters above the ground. How far away from the base of the tower can a person be
A 51 g piece of ice at 0.0°C is placed in an insulated calorimeter of negligible heat capacity containing 100 g of water at 100°C. 1). Find the entropy change of the universe for this process
The stretched length of a spring is 4.28 m. A ribbon is tied aroundthe spring at a point near its center. A pulse created at one endof the spring makes 13 back-and-forth trips along the spring in6.59 s.
question1the follow statement is true or false?the electric field epoint at the center of an induced dipole because of
Suppose that the potential seen by a neutron in a nucleus can be represented (in one dimension) by a square well of width 10^12 cm with very walls. What is the minimum kinetic energy of the neutron in this potential, in Mev?
what is the smallest value d can have before the string breaks?
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 12.0 m/s at an angle 46.0 degrees; What is the distance between the two girls
In a series RLC circuit, the resistance is 46 ,the capacitance is32 μF and the inductance is 43 mH. The AC generator providesan rms voltage of 100 V operating at 1000 rad/s. Find the power supplied by the source. Find the power dissipated in the resi..
Evaluate the study's claim that culture is not static and organisational policies and practices need to take account of complex interactions between different cultural values. Provide specific examples to support your conclusions.
A 2.00-ton automobile is parked at the top of a hill that is 100ft high and inclined 25 degrees with respect to the horizon. find the automobile velocity (ft/s) at the bottom of the hill
a 73 kg skydiver can be modeled as a rectangular box with dimensions 21cm x 44cmx 1.8m? what is his terminal speed if
A person walks in the following pattern: 9.8 km north, then 9.8 kmwest, and finally 3.0 km south. Constructthe vector diagram that represents this motion and from it judge how far and in what direction a bird would fly in a straight line from the ..
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd