Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

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4 views

Whether phase congruency and phase coherence terms are one and the same or different?

I am studying the importance of phase in signal.Can anybody explain what is phase congruency ? Also,I am confused between terms i.e. phase congruency and phase coherence. Whether phase congruency and ...
0
votes
1answer
23 views

Perturbations in linear response theory

I've been working on applications of linear response theory to condensed matter systems, and I've got quite far into the literature on the subject. However, there is an identity which seems to be ...
0
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1answer
31 views

A question about velocity and acceleration [on hold]

I'm working on MasteringPhysics and came across this problem. I thought I knew how to solve it but the website says my answers are not quite correct. Please see the image below for the problem and ...
0
votes
2answers
43 views

Explanation on anticommutation relations

Setup Given two states: $|K\rangle=a_i^+a_j^+|\rangle$ and $|L\rangle=a_k^+a_l^+|\rangle$. Evaluating the overlap: $\langle K|L\rangle=\langle|a_ja_ia_k^+a_l^+|\rangle$ Introducing: ...
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0answers
44 views

Variation on the “Hole through the Earth” problem

In the news recently was the announcement that the answer to the classic Newtonian mechanics question of the time it takes for a body to fall all the way through the Earth was corrected to account for ...
0
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1answer
29 views

The correct integral for Newton's shell theorem

I am trying to prove Newton's Shell Theorem, and the natural integral I think of to use does not seem to give the right answer, so I am trying to find my mistake. For simplicity, I will work in one ...
0
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0answers
17 views

Geometric and algebraic aspects of geometric vectors

I'm writing some notes for a honors physics class and I am having some trouble with some proofs. Say $\vec{A}$ and $\vec{B}$ are some geometric vectors. Then we defined the dot product ...
0
votes
0answers
11 views

Problem with Parabolic motion [on hold]

Could someone help me out with this one: A tank will fire a missile with speed of 400m/sec to a target that is at 1500 meters from it and 400 m above it. Which are the angles that a thank will have ...
1
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1answer
19 views

Getting the ($hkl$) Miller indices from the angle of incidence of a light ray

I was given an X-ray diffraction lab this week. We measured the count rate for different angles $2\theta$ of the rotation of the detector. From these measurements we plotted a graph of 2theta vs the ...
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0answers
32 views

Which quarks will I find in a neutron? [on hold]

A: Three up quarks. B: Two up quarks and a down quark. C: Two down quarks and an up quark. D: One charm quark, one up quark and one down quark. please expain why
2
votes
2answers
37 views

Homework: electrical circuit with 2 voltage sources & 1 switch

I can't figure out how to handle this circuit. I am asked to calculate the total resistance and the current over each resistance (R1-R4) when the switch is open. However I'm not getting anywhere ...
0
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2answers
69 views

How is the uniform gravitational field approximation $F_g\approx mg$ near Earth's surface derived from Newton's law $F_g=GMm/r^2$ of gravitation?

I am really bothered about how we can derive the equation of projectile motion. Suppose a point mass will move in the gravitational field of the Earth according to the equation $$\ddot R ...
-1
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0answers
44 views

The location of a point of destructive interference [on hold]

Two speakers, one at the origin and the other facing it at x = 1.04 m, are driven by the same oscillator at a frequency of 642 Hz. If the speed of sound is 343 m/s, find the following. I know the ...
0
votes
0answers
31 views

What's the quantization of a Hamiltonian? [on hold]

Suppose Hamiltonian of a conservative system in classical mechanics is $$H~=~\omega xp,$$ where $\omega $ is a constant and $x$ and $p$ are the position and momentum respectively. What is the ...
0
votes
2answers
23 views

What the wave function looks of a particle in the infinite square well looks like after collapse for measurements of position and energy

Consider a particle in a the infinite square well from x=0 to x=L. At t=to, I make a measurement of position and get x=L/2. What is the resulting wave function at t=to? My understanding, from reading, ...
0
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0answers
12 views

Compute the temperature of the reservoirs between which the engine operates

An ideal gas for which $c_v$ = 3R/2 is the working substance of a Carnot engine. During the isothermal expansion the volume doubles. The ratio of the final volume to the initial volume in the ...
1
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1answer
33 views

How to derive $r, \theta, \phi$ for the sperical coordinate gradient?

I'm trying to figure out how to get the gradient in spherical coordinates. I'm as far as the author writes in this answer: http://physics.stackexchange.com/a/78514 and I understand how and why to get ...
0
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0answers
26 views

Total Energy of Inverted Pendulum

I have to find the total energy $V$ of an inverted pendulum (rod). The following parameters and their values are given: Mass $m$ and length $l$ of the pendulum $\theta$ as the angle of the ...
0
votes
1answer
27 views

“Definition” of internal energy

Conversation of energy implies that if we have a thermally insulated system which goes from state 1 to state 2: $$\Delta E_{12}=E(2)-E(1)=\Delta W_{12}$$ and the 1st law of thermodynamics ...
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0answers
14 views

How would I prove the gamma normalization relation without Clifford Algebra? [duplicate]

The equation in question is $$ \left ( \gamma ^{\mu } \right )^{\dagger }=\gamma ^{0}\gamma ^{\mu }\gamma ^{0}$$
-1
votes
0answers
21 views

Solving IVP $\frac{dE}{dx}= -\gamma\frac{dx}{dt}-\alpha$ [on hold]

I need to solve the differential equation $$\frac{dE}{dx}= -\gamma\frac{dx}{dt}-\alpha$$ with the initial value $$v(t=0)=v_O$$ I tried writing everything in terms of $v$ which gives me: ...
0
votes
2answers
36 views

Approximating energy loss caused by drag force

We know the usual aerodynamic drag equation is given by: $$F_d = -bv^2$$ Where $b$ here is just some constants combination related to the property of the fluid and the material passing through. My ...
-1
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0answers
16 views

Clocks in moving inertial frames [on hold]

A clock $C$ is at rest at the spatial origin of an inertial frame $S$. A second clock $C'$ is at rest at the spatial origin of an inertial frame $S'$ moving with constant speed $u$ relative to $S$. ...
-1
votes
0answers
30 views

Sinusoidal Wave Problem [on hold]

A sinusoidal wave of frequency $650 \mathrm{Hz}$ has a velocity of $450 \frac{\mathrm{m}}{\mathrm{s}}$. Determine the distance between two points on the wave that differ in phase by 1.5 ...
4
votes
1answer
42 views

In an elastic collision, can we choose between cons. of energy and cons. of momentum?

Suppose we have two solid spheres with masses $m$ and $M$, respectively, and that $m$ is significantly smaller than $M$. The lighter sphere is placed directly on top of the heavier one, and the two ...
-1
votes
1answer
20 views

Wave Equation - Vibrations & Waves [on hold]

My question is basically how to do part ii) of this question even with the hint I am confused; the first part was simple; There's no dispersion & vp = vg = sqrt(hg) as required. But how would I ...
0
votes
1answer
39 views

How do you derive the Dirac equation for momentum space?

$\require{cancel}$ \begin{align} 0 &= i \gamma^\mu \partial_\mu \psi(x) - m \psi(x) \\ &= \int \frac{d^4 k}{(2\pi)^4}e^{-i k x}\left( \gamma^\mu k_m \tilde{\psi}(k) - m \tilde{\psi}(k) ...
0
votes
0answers
23 views

Gas Pressure in Industrial processes

Can anybody please help with the following? Ammonia is produced by the Haber process where nitrogen and hydrogen combine to form ammonia according to the equation: N2 + 3H2 == 2NH3 If 1 mole of N2 is ...
-2
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0answers
31 views

Thermodynamics - Gas Laws [on hold]

Can anybody please help with the following problem? The compression ratio of an engine is 16:1. The volume of air in the cylinder is $0.5 \,\mathrm{litres}$ at a temperature of $30 ...
2
votes
1answer
41 views

What are the tidal effects of Io on Jupiter?

I recall reading an essay by Asimov (I think) around 1980 stating that the tides are a function of a power of the diameter of the primary, so (surprisingly) small close moons of Jupiter raise large ...
-1
votes
1answer
43 views

Determine the equation of motion [on hold]

The problem is the following. A ring of mass $m=1$ is moving along a circle of radius $R$ without friction. It's tied to a spring (coefficient $k$) of natural length $0$. The other end of the spring ...
1
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0answers
25 views

Hydrogen atom Ionization by Magnetic Field [on hold]

The source of a magnetic field (it could be a magnetic dipole) is moving at relativistic speed. This magnetic field encounters a hydrogen atom at rest with respect to the source. Will this encounter ...
0
votes
1answer
48 views

Normalisation of a wavefunction [on hold]

If the system if found in the state: $$\psi=\sqrt{\frac{1}{2\pi}}(\frac1{\sqrt3}e^{-i3\phi}+ce^{-i4\phi})$$ what value of $c$ normalizes the wavefunction? Clearly: $$\int_0^{2\pi}\psi^*\psi ...
1
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1answer
62 views

Radiation pressure (Jackson exercise)

Here's an exercise from Jackson: A plane wave is incident normally on a perfectly absorbing flat screen. From the law of conservation of linear momentum show that the pressure exerted from the ...
-1
votes
0answers
24 views

Balancing an equation [on hold]

I had an exam today and I havn't be able to find an answer to the question asking to balance this reaction equation, about oxalic and permanganate. Could you balance it or is it just impossible ? ...
-2
votes
0answers
41 views

Establish a relation between height of the water column and time in a spherical container with a hole in the bottom [on hold]

Suppose we have half of a sphere of radius $R$ filled with water. In the bottom of the container there is a hole of area $S_0$. Velocity of the water flow out of the hole is $$V=\lambda(2gh)^{1/2}.$$ ...
0
votes
1answer
30 views

Solving Lagrangian equations of motion for two point-bodies with gravitational interaction

I would like to solve the equations of motion with the Lagrangian function for two point-bodies that interact gravitationally via the potential $$V= {-Gm_1m_2 \over r_{12}} $$ where $$r_{12} = **r_1 ...
4
votes
2answers
52 views

Electric field due to a uniformly charged FINITE rectangular plate

I was teaching kids about how to find electric field using the superposition principle for continuous charge distributions, I thought may be I should derive the formula for electric field due to the ...
0
votes
1answer
51 views

Probability of finding particle in infinite square well, displaced walls

Initially a quantum particle moves in a one-dimensional well ($x$-axis) from $-a$ to $ a$, $ V = \infty $ outside and $ V = 0 $ inside the well. So initially, the wave-function $$ \psi_0 = ...
0
votes
1answer
32 views

System of two harmonic oscillators and its quantum partition function

Consider a system of two harmonic oscillators with different frequencies $\omega_1,\omega_2$ and masses $m_1,m_2$ so the hamiltonian is $$\mathcal{H}(p_1,q_1;p_2,q_2)=\sum_{i=1}^2 ...
2
votes
1answer
61 views

Can someone explain this solution for the motion of a falling chain?

In an example of Marion's classical dynamics 5th edition, I found example 9.2 not making sense, which states: My questions are: The horizontal motion cannot be ignored even in the idealized ...
0
votes
0answers
19 views

How to calculate free energy mixing of a solution? [on hold]

http://imgur.com/tCBG7kF I'm struggling with part d). Given the volume fraction for oil as 0.3, I've assumed to use the other volume fraction as 0.7 to follow with the incompressibility condition as ...
0
votes
1answer
38 views

Showing existence of negative temperature for a quantum system

It may be shown that the partition function for a quantum system containing N distinguishable particles each of which has energy state $\epsilon_1$ and $\epsilon_2$ is given by ...
-1
votes
0answers
31 views

Quantum Mechanics for 1D box [on hold]

For particle in a box with mass $M$ length $L$,assume $\Delta x=L$. Assume further that $\Delta p_{min}=\langle p^2\rangle^{1/2}$.Use the uncertainty principle to obtain an estimate of the energy of ...
0
votes
0answers
20 views

A linear response system with a periodic input

I'm currently trying to solve the following exercise: A linear system is driven by a periodic input $f(t)$ such that $f(t+T)=f(t)$. The response $g(t)$ of the system is such that a sinusoidal ...
0
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0answers
20 views
-1
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0answers
32 views

Kepler law - 2 proof (area vectors) [on hold]

How to prove Keplers second law? I tried but I could not get how to make the proof in area vectors and time Differentiated equation can't be used for area vectors then how to prove it?
1
vote
0answers
31 views

Killing vector field along geodesic [on hold]

I was trying to show that a Killing vector field satisfies the Jacobi Equation for a geodesic, just by assuming that \begin{equation} \nabla_\mu X_\nu + \nabla_\nu X_\mu=0 \end{equation} Indeed, if I ...
1
vote
2answers
37 views

Period of a simple pendulum accounting for friction

The period of a simple pendulum is $$T=2\pi\sqrt{\ell/g},$$ but no where in there do I see that it accounts for friction. Does it somehow account for friction, and if not, how could you do that?
1
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2answers
89 views

Calculating quantum partition functions

...By quantizing we the get the following Hamiltonian operator $$\hat{H}=\sum_{\mathbf{k}}\hbar \omega(\mathbf{k})\left(\hat{n}(\mathbf{k})+\frac{1}{2} \right)$$ where ...