Homework Statement
What is the result of raising momentum ladder operator (L+) acting on spherical harmonics Y04 (\theta,\phi)
Homework Equations
The Attempt at a Solution
I was expecting Y14 (\theta,\phi)
I applied L+ on Y04 (\theta,\phi) and ended up with Y14...
Homework Statement
Its a problem from a foreign book. It sounded simple to me but I am confused now.
If V(x), a potential energy function, is known to be an even function, what can you say about wave function for any stationary state? What shall be the expectation value of x for any...
consider the heat flow of the system. Negative of heat gained by 1 kg of water is the heat lost by the reservoir. From that calculate the change in entropy. Keep track of the signs.
Good luck
Homework Statement
A box is separated by a partition which divides its volume in the ratio 3:1. The larger portion of the box contains 1000 molecules of Neon gas, the smaller one contains 100 molecules of He gas. A small hole is made in the partition, and one waits until equilibrium is...
For the probability portion, here is what i did:
Since the partition exists with a ratio 3:1
Probability of finding N Neon gas in the larger portion = (1/3)N
where,
(1/3) is the probability of finding 1 molecule of Neon gas in the larger portion
N = 1000
Probability of finding N...
Homework Statement
A box is separated by a partition which divides its volume in the ratio 3:1. The larger portion of the box contains 1000 molecules of Neon gas, the smaller box contains 100 molecules of Helium gas. A small hole is made in the partition, and one waits until equilibrium is...
Homework Statement
Is (x2 -y)dx + xdy = dF an exact differential ?
dF = path dependant ( i.e. d has a line strikethrough it as h in Planck's constant.)
Homework Equations
(x2 -y)dx + xdy = dF
The Attempt at a Solution
I don't know what exact and inexact differentials are...
"Thus the lesson to be learned is when you are drunk always walk an odd number of steps. "
Did you miss ODD in the sentence?
Are you saying that when you start from odd point, you end of up at and when you start from even, you end up at even? If so, yeah the formula says so.
Homework Statement
Say a drunk starts making his steps of equal distance from a lamppost. Assuming that each of the steps are of equal distance, and N as the total number of steps, what is the probability of him/her ending at the lamppost? Find the probability when N is even and also for...
Homework Statement
Suppose a typographical errors committed by a typesetter occurs randomly. If that a book of 600 pages contains 600 such errors, calculate the probability by using Poisson's distribution.
i) that a page contains no errors
ii) that a page contains at least three errors...
cosine theta is a mistake here. It has to be omitted.
Yeah, i did use Ohm's law there.
But my confusion at this point is, since the final and initial fluxes are given, in Faraday's formula, should emf beemf = -N d(B-A)/dt or just -N d(flux)/dt ?
The final expression is supposed to show that...
thanks,
i followed the video. It was helpful.
However, i am still not sure about independence of charge with the rate of change of flux. On applying faraday's law
EMF = -Nd\Phi/dt
In the condition mention in the question above, B is the final M_flux A and the initial M_flux. We are...