# Search results

1. ### Normalized equation for particle in a ring

the particle moves along a ring. so the elemental length should be rdtheta
2. ### Normalized equation for particle in a ring

Homework Statement Normalized equation for particle in a ring, where V=0 on a ring of radius 'a' and infinite everywhere else. Homework Equations The Attempt at a Solution Replcing x by rθ, $$-\frac{\hbar^2}{2I}\frac{\partial^2\psi}{\partial\theta^2}=E\psi$$ By guess, I found out that...
3. ### Max probability of finding an electron in 3dz2

@BvU high probabilty density does not mean high probability. How can you say psi*psi has to be maximum for probability to be maximum?
4. ### Max probability of finding an electron in 3dz2

@BvU I argued this with my professor and so did others in my class. But he told this gives the probability even if it has a dimension.(I couldn't argue more as i trusted his statement becuase his education level is far higher than mine). I even got marks for using the above formula. I used...
5. ### Max probability of finding an electron in 3dz2

A higher psi*psi means a higher probability density. Not a higher probability for different dV. Am I correct? And, After reading some articles, i found that ##4\pi r^2 R^2## (R is the radial wave function) gives the probability.
6. ### Max probability of finding an electron in 3dz2

@haruspex I can't do a dr times the probability density. I need the probability as a function of r and theta. If I just take |R|^2, that will give me the probability density.
7. ### Max probability of finding an electron in 3dz2

Homework Statement The radial wavefunction for ##3d_{z^2}## orbital is $$R=N\sigma^2e^{-\frac{\sigma}{3}}(3\cos^2\theta-1)$$ $$\sigma=\frac{r}{a_0}$$ Find r and θ for which the probabiity of finding the electron is maximum Homework Equations None The Attempt at a Solution ##R^2## gives the...
8. ### B Separability of variables

For example, why isn't F(z,y,z)=f(x)+g(y)+h(z) and only f(x)g(y)h(z)?
9. ### B Separability of variables

@Nugatory I am asking how can one be sure that a function f(x,y,z)=f(x)f(y)f(z)?
10. ### B Separability of variables

In a hydrogen atom, the wave function is written as R(r).Θ(θ).Φ(φ). But how is it separable when the electron is interacting with the nucleus?
11. ### Probability of finding a particle in an infinite well

Homework Statement For the particle in a box given in the above question, what is the probability of finding the electron between (i) x = 0.49 and 0.51, (ii) x = 0 and 0.020 and (ii) x=0.24 and 0.26 ( x in nm) for both n=1 and n=2. Rationalize your answers. Homework Equations...
12. ### B Position of a particle immediately after a measurement

@PeroK is it wise to stick with Griffith considering my zero knowledge in linear algebra? Where can I learn linear algebra?
13. ### B Position of a particle immediately after a measurement

Can you recommend a better book than griffiths? I keep getting more doubts. Like in the equation $$<p>=\int\psi *\frac{h}{2\pi i}\frac{\partial \psi}{\partial x}dx$$ why did griffith choose $$\frac{h}{2\pi i}\frac{\partial}{\partial x}$$ as the momentum operator?

15. ### B Position of a particle immediately after a measurement

Why does this happen? I mean why does the wave function collapse to an eigenstate after a measurement? What if it was never measured?
16. ### B Position of a particle immediately after a measurement

I need clarification on this: If the particle was found at C, does it mean there was a psi^2 maxima at/near C?
17. ### B Position of a particle immediately after a measurement

I am sorry. I don't get you :)
18. ### B Position of a particle immediately after a measurement

Say a particle was measured to be at a point C. Immediately after this, if i make another measurement, its given in griffith's book that the particle will still be found at C. Isn't this only possible if the particle was at rest?

20. ### Uncertainty in single slit diffraction

Can you explain this? $$\lambda=\frac{h}{mv}$$
21. ### Uncertainty in single slit diffraction

what is delta P? the change in momentum?
22. ### Uncertainty in single slit diffraction

the width of central maxima is obtained from ##n\lambda=w\sin\frac{\Delta\theta}{2}## Here, n=1.
23. ### Uncertainty in single slit diffraction

Homework Statement An electron is moving in a parallel beam along the x-direction with momentum, p=mv. It encounters a slit of width w. Assuming that the electron gets diffracted somewhere within the central maximum of small angular magnitude Δθ, estimate the uncertainty Δp in its momentum...
24. ### Specific heat for a triatomic gas

How did you get that expression?

This is the course we started with: https://portal.iitb.ac.in/asc/Courses/crsedetail.jsp?ccd=PH%20105

I have already learned those in high school. And the courses given are not for first years. These are the lectures I was given. (these lectures are common for every branch in first year)

they did. at first the prof taught random things from atomic structure. then he discussed light (photoelectric effect, compton effect). Then came blackbody radiation (Rayliegh-jeans law, stefans law, etc) and now we will start quantum mechanics soon. This is my college: http://www.iitb.ac.in/...

My college started physics course with light and blackbody radiation. I am facing difficulties in understanding relativistic energies, Compton effect and specific heats of multi atomic gases. Can you suggest a method for studying modern physics and suggest some good books for getting my concepts...
29. ### Specific heat for a triatomic gas

Homework Statement Using equipartition law, find specific heat of gas containing triatomic linear molecules. Will the result be different if the molecule was non- linear? In what way? Homework Equations According to equipartion theorem, each degree of freedom gets (1/2)kT kinetic energy and...
30. ### Einstein's theory for specific heat

I have uploaded a page from my prof's lecture on specific heat. Its given that average energy for each vibrational mode is $$\frac{h\nu}{e^{\frac{h\nu}{T}}-1}$$ Hence $$U=(\text{number of vibrational modes)}\times\frac{h\nu}{e^{\frac{h\nu}{T}}-1}$$ In the lecture slide, the number of...
31. ### I Doubt in Kirchoff's theorem

by the object. I think i misunderstood the theorem. A is the fraction of the power absorbed.
32. ### I Doubt in Kirchoff's theorem

According to Kirchoff $$e=J(T,f)A$$ ##e## is the power emitted and ##A## is the power absorbed If ##E## is the power supplied, can I say that $$e=E-A$$
33. ### Courses What is the scope for aerospace engineering?

I am not specific about US. The opportunities here in my country is less. I went through the syllabus of aerospace engineering. It seems interesting. What are "those sort of jobs"? @johnnyrev I like fluid mechanics. (I already did a course in fluids in high school and i liked it + I read...
34. ### Courses What is the scope for aerospace engineering?

My math part is good. Boeing provides scholarship programs in some colleges here. (http://www.ae.iitkgp.ernet.in/boeing/index.htm [Broken])
35. ### Courses What is the scope for aerospace engineering?

I am planning to join an undergraduate course in aerospace engineering. There are not much jobs in my country. I wish to do further studies in other countries (I don't want to stay here). I heard that getting jobs in other countries will be difficult because you need citizenship to work in their...
36. ### Entropy of system and surroundings

But Q_surroundings may not always be equal to -Q_system. Should I use ΔS_(surr) + ΔS_(sys) ≥ 0? But that won't give the exact value.

But why:
38. ### Capacitor and inductor in parallel

@ehild that solved the question :D

48. ### B RLC circuit analysis

In an RLC series circuit let applied EMF be given ##V=V_0\sin\omega t##, $$Z=Z_C+Z_R+Z_L=R+i\left(\frac{1}{\omega C}-\omega L\right)$$ $$|Z|=\sqrt{R^2+\left(\frac{1}{\omega C}-\omega L\right)^2}$$ Then $$i(t)=\frac{V(t)}{Z}=\frac{V_0e^{i\omega t}}{R+i\left(\frac{1}{\omega C}-\omega L\right)}$$...
49. ### Loss in energy of a ball dropped in a fluid

The loss in energy for A is ##-mgy_A+\frac{1}{2}mv^2## The loss in energy for B is ##\frac{1}{2}mu^2-mgy_B+\frac{1}{2}mv^2##
50. ### Loss in energy of a ball dropped in a fluid

@haruspex does loss in mechanical energy mean ##\Delta KE ## or the change in the total energy including the potential energy?