let 2m/hbar^2=k
then -1/k grad^2 ψ +Vψ=Eψ
or grad^2 ψ =k (V-E)ψ
given wavefuntion is independent of θ, φ
so in spherical polar grad^2= (1/r^2)δ/δr (r^2 δ/δr)
I am getting (r^2 δ/δr)= r [b exp(-br)-a exp (-ar)] - [exp (-ar)-exp (-br)]
next differenting the above again w.r.t r and multipying with...
Homework Statement
The ground state wavefuntion
of a system in spherical polar
coordinates is given by:
Ψ (r,θ, φ)= (A/r) [exp (-ar) -
exp (-br)] where a, b, A are
constants.
i) Determine A as a function
of a and b, so as to normalize
the wavefuntion.
ii) From Schrödinger equation
find V (r)...
Thank you.I never post homework questions. I post past year university question only.Our class is too overcrowded for the teachers to attend to individual doubts.Solving past year question gives a feel about the type of questions that can feature in an exam.
Homework Statement
A cyclotron has oscillator frequency of 12×10^6 cycles /sec and dee radius 21 inches .Calculate the magnetic induction B needed to accelerate deutrons .
Given e=1.6 ×10^-19 coulomb and M (21H )=3.3×10^-27 kg.
Homework Equations
Frequency f= Bq/2πΜ
The Attempt at a Solution...
Homework Statement
At about 1180K iron transforms into fcc structure from bcc structure which is also the structural form at room temperature.Assuming no change in density find the ratio of nearest neighbour distance in fcc structure to that in bcc structure.
Homework Equations
For fcc...
Homework Statement
When a 7 3 Li nucleus is bombarded with protons α particles emerge.Calculate the kinetic energy of the alpha particle assuming the kinetic energy of the bombarding proton to be negligible. Given M (7 3 Li)=7.016004a.m.u. M (p)=1.007826a.m.u and M (α)=4.002603a.m.u.
Homework...
Homework Statement
Find out the degrees of freedom of a block of wood sliding on a horizontal plane.
Homework Equations
DoF=Nn-k
N=no. of dimensions. n=no. of particles.k= no. of constraints.
The Attempt at a Solution
I am considering the block of wood as a rigid body made of n no. of...
Homework Statement
There is this university exam question:
Draw the nuclear binding energy curve and and show that energy is released when a heavy nucleus of A> 200
breaks up into two nearly equal fragments.
Homework Equations
See below.
The Attempt at a Solution
I found in an example in...
Homework Statement
Indicate the fundamental interactions through which the following processes occur.Justify.
n -> p+ e- + -νe...1
p+p -> p+p+n+-n...2
π+ -> μ++ -νμ...3
γ -> e+ + e-...4
Homework EquationsThe Attempt at a Solution
1... is possible due to weak decay .electron antineutrino...
Homework Statement
The nuclear masses of parent and daughter nuclei are Mp= 226.025 amu and Md=222.017 amu.Mass of alpha particle is Mα=4.002amu.Find qvalue and kinetic energy of alpha particle emitted for the alpha decay.
Homework Equations
Q=(Mp -Md-Mα)amu...1
Assuming nucleus to be at rest...