Sorry, i can't understand even now.
They'll be at a distance 2R apart.(i think)
and the equation of motion is,
\ddot{r}=\frac{L^{2}}{mr^{3}}-\frac{Gm}{2r^{2}}
how can i solve this?
I tried in terms of energy also.
E=\frac{1}{2}m\dot{r}^{2}+\frac{L^{2}}{2mr^{2}}-\frac{Gm^{2}}{r}...
Homework Statement
A Lagrangian for a particular physical system can be written as,
L^{\prime }=\frac{m}{2}(a\dot{x}^{2}+2b\dot{x}\dot{y}+c\dot{y}^{2})-\frac{K%
}{2}(ax^{2}+2bxy+cy^{2})
where a and b are arbitrary constants but subject to the condition that b2
-ac≠0.What are the...
Homework Statement
A binary system consists of two stars of equal mass m orbiting each other in a circular orbit under the influence of gravitational forces. The period of the orbit is τ . At t = 0, the motion is stopped and the stars are allowed to fall towards each other. After what time t...
∂Homework Statement
I've some doubts in the basic quantum mechanics.I know these are too simple. But can't figure out the exact answer.
1. Ordinary wave equation relates second order time derivative to second order space derivative.But Schrodinger equation connects first order time...
Homework Statement
Consider a parallel plate air filled capacitor with plate area 10cm2
seperated by a distance 2mm.The potential difference across the plate varies
as V=360 sin(2π 106t) volts, where t is in seconds.Neglecting
the fringe effects calculate the displacement current flowing...
Homework Statement
A particle of mass m is subjected to a potential V(x)=Kx.Use uncertainty principle in the form Δx.Δp≈h(bar)/2 to estimate ground state energy of the particle.
The Attempt at a Solution
I have no idea. :(
Homework Statement
The wavefunction describing state of a system is,
\psi (r,\theta ,\phi )=\frac{1}{8\sqrt{\pi }}\left( \frac{1}{a_{0}}%
\right) ^{3/2}\frac{r}{a_{0}}e^{-4/2a_{0}}\sin \theta e^{-i\phi }
Find the parity of system in this state.
The Attempt at a Solution
\psi...
In a book i saw tha spin parity of oxygen is found by considering proton number only.I want to confirm if it is so even when the proton shell is completely filled(ie, there's no unpaired proton).or do i need to consider neutron number?
Homework Statement
I have to find the magnetic field inside a long conductor of radius a.
Homework Equations
Ampere's law.
∫B.dl=μIenclosed
The Attempt at a Solution
Problem has cylindrical symmetry and B is along θ direction.
B*2∏r=μIenclosed
How to find what fraction of...
Actually no.I was absent in the class,failed to understand it and later found abstract operator form more comfortable.
But i'll try
Thanks for the hint. :)
Homework Statement
Potential of a simple harmonic oscillator is \frac{1}{2}m\omega
^{2}(x^{2}+4y^{2}).Find the energy eigenvalues?
Homework Equations
Seperation of variables,i think. But i got stuck in the midway.
The Attempt at a Solution
\frac{-\hslash ^{2}}{2m}\left(...