Why is it that bosons (particles having symmetric wave functions) have integral spins and fermions (particles having antisymmetric wave functions) have half integral spins? A lot of books state this without specifying the reason. I was wondering if this is a theoretical deduction. Or is it an...
If I only consider a single molecule, even then the probability of the molecule reaching the far ends of the beaker is coming out to be less than the probability of it oscillating somewhere in between (because NCr is max for r = N/2, this will always be the case assuming unbiased random walk of...
I had a question regarding the random walk problem in statistical mechanics. If I drop, say, one molecule of KMnO4 in a beaker of water, what we generally observe (spread of KMnO4 to the ends of the beaker) is different from what we should get from probabilistic assumptions. I must be going...
Makes sense. But there is a problem. The curvature is the same along a horizontal line. So each point along the equator (if I can call the horizontal line at the middle that) should produce the same type of fringe (bright, in the case, because the curve is tightest at the equator). But we see...
Hi everyone
So something strange happened tonight. I've always hung my night lamp on a hook in the wall but last night I kept it on the floor. And i saw fringes form on the floor (see picture)
Could someone please explain why the fringes formed? My guess is that two different waves from two...
I have a problem understanding diffraction and its dependence on the wavelength of the source. We know that light cannot travel through obstacles of the size of everyday objects while sound can. That is why we can hear sound across the corner of a building but we can't see a light source across...
Hi
I was working my way through this problem but couldn't even begin. Could someone explain more explicitly?
My attempt at a solution:
Assuming the molecule lies along the z axis (z=0), the principle moment of inertia should be:
1. I1 = summation(m*ysquare)
2. I2 = summation (m*xsquare)
3. I3...
How do you take the direction of dθ
I understand till the equation is in magnitude form. To convert it into vector form, I need to write dθ as a vector and then take its cross product with A