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2
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1answer
37 views

Calculating Boltzmann constant using semiconductor

My task from the latest laboratory exercise in physics is to calculate Boltzmann constant from known temperature, current and voltage. We were given this circuit: By changing the resistor value, I ...
3
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0answers
48 views

How do I treat the Lagrangian in the case of a rigid body?

Here's Exercise 1.11 from Goldstein's Classical Mechanics 3rd edition (the first one after having derived the Lagrangian basically): Exercise 1.11: Consider a uniform thin disk that rolls without ...
1
vote
1answer
166 views

Energy difference between symmetric and antisymmetric wavefunctions

Is there any energy difference between a particle in a symmetric wavefunction and an identical particle in an identical potential but in a state with an anti-symmetric wavefunction? Or is it ...
0
votes
1answer
72 views

Finding the total energy in centre of mass frame

I'm working through a problem in a special relativity textbook (Woodhouse) and I'm having some difficulty. I have to show that if I have a particle of rest mass $M$, total energy $E$ colliding with a ...
0
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3answers
97 views

Question on acceleration of gravity

In pre-calculus last week my teacher explained a scenario in which a man throws a rock down a well and takes 4 seconds for you to hear the rock hit the bottom. How far downs the well? Last years I ...
2
votes
3answers
178 views

How to derive $[x_i, F(\vec p)] = i \hbar \frac {\partial F(\vec p)}{\partial p_i}$

Wikipedia indicates that the following relation is "easily shown": $[x_i, F(\vec p)] = i \hbar \frac {\partial F(\vec p)}{\partial p_i}$, however I'm having some trouble showing it. I think I'm just ...
2
votes
1answer
214 views

What is the critical mass of a planet to have an atmosphere like Earth's? [on hold]

Small planets/orbits like Moon cannot have atmosphere because of their masses. They don't have enough gravity to hold an atmosphere. Then what is the critical mass that makes enough gravity to keep an ...
1
vote
3answers
273 views

Two dimensional elastic collisions with varying angle of incident

If in an elastic collision I know all initial values and that mass for each object remains constant throughout the collision (but different from one another) how can I determine their final velocity ...
0
votes
0answers
30 views

Charge density within radius r from the nucleus

The probability of finding an electron within radius $r_b$ for Hydrogen near the center ($r_b<< a_0$) is approximately equal to zero (according to 1s orbital curve). Does this imply that the ...
1
vote
1answer
45 views

Entanglement Hamiltonian for two 1/2 spin system

Consider a two 1/2-spin state $$|\phi\rangle=\frac{1}{\sqrt{2}}(|1\rangle_A\otimes|1\rangle_B-|0\rangle_A\otimes|0\rangle_B),$$ cut in half (so we get A- and B-subsystem), the reduced density matrix ...
0
votes
0answers
22 views

Calculating Oscillations of a small magnetic needle [on hold]

In a problem from a past physics competition paper, a wire, carrying a constant current i, forms a "V" shape (as shown below). Part four of the question states In order to measure the magnetic ...
0
votes
0answers
30 views

Upside down images on the surface of the water [on hold]

If you look up from underneath toward the surface of the water in your aquarium, you may see an upside-down reflection of your pet fish in the surface of the water. Explain how this can happen.
-1
votes
0answers
14 views

Angular velocity and linear velocity [on hold]

Define and EXPLAIN average angular velocity and acceleration. Define and EXPLAIN instantaneous angular velocity. Experiment was about throwing a cricket ball. the shoulder is the point of reference. ...
1
vote
1answer
65 views

Help understanding the solution to a problem regarding kinetic energy of a group of point charges

The problem provided by my professor goes as follows: "Now consider a situation in which all charges are equal to q and they simultaneously become "unglued". What speed will each charge have when a ...
1
vote
2answers
311 views

Momentum change in collisions (Drude Model)

A particle suffers elastic collisions with scattering centers with a probability of collision per unit time $\lambda$. After a collision the particle is in a direction caracterized by a solid angle ...
0
votes
0answers
21 views

Energy and momentum [on hold]

In a good wind location offers a modern wind turbine with a maximum output of 1 MW over 2 million kWh per year. a) How many m ^ 3 of oil is equivalent to that energy content if 1 liter of oil ...
1
vote
1answer
137 views

Calculating water flow as function of the height of water above the inlet pipe

The Source of Water is Pond where the water level do change randomly. A pipeline of 200mm pipe diameter run for around 2500 m. The Height difference between the level of the inlet pipe and the level ...
0
votes
1answer
19 views

Kinematics Word Problem [on hold]

A curling rink is approximately 35 m long from button to button. Mr. Grover releases a rock and 20. seconds later it stops on the far button. What was the initial velocity of the stone? What ...
2
votes
1answer
90 views

Rolling a ball into a cone; what should the forces overall be?

This is my solution to finding angular displacement/velocity/acceleration on cone so far. Consider a cone, with an apex of half-angle $\psi$ pointing down, and a height of $h$. If I roll a ball into ...
0
votes
1answer
19 views

With what speed must e.g. a car drive into a turn so it won't drift out? [on hold]

I am trying to figure out the following question: with what speed must e.g. a car drive into a turn so it won't drift out (if a turn is a circumference of a semicircle)? e.g. $r= 5 m$ $a_r= ...
0
votes
1answer
16 views

saturated water vapour pressure [on hold]

A pressure steel tube has a volume of 215 cc and contains air at 207 bar. It also contains some water (put it is 0.5 cc) deriving from the condensation of air humidity during pumping air into the ...
1
vote
3answers
230 views

Distinguishable, Indistinguishable Paramagnetic Ideal Gas

In the canonical ensemble, the partition function for an ideal gas is given by: $$\frac{Z}{N!}$$ The factor $N!$ accounts for the indistinguishability of the particles of the ideal gas. What ...
0
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0answers
11 views

Calculation for scaling pipe [on hold]

If a pipe of diameter of D1 having pressure P1 and of length L1 is to be plugged and to check the integrity of the plug this pipe is to be scaled to a smaller pipe Pipe of Diameter of D2 and Length L2 ...
-3
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0answers
15 views

Finding the potential difference through a capacitor is charged [on hold]

A 12 micro Farad capacitor is required to store 4 Joules of energy. Find the potential difference to which the capacitor must be charged?
-1
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0answers
16 views

Finding voltage and the capacitance of the capacitor [on hold]

A capacitor is charged with 10 mega Coulombs if the energy stored is 1.2 Joules find the voltage and the capacitance of the capacitor?
7
votes
1answer
351 views

Find $\hat{x}$ operator given $\hat{p}$ operator

This is problem $1.2$ of Molecular Quantum Mechanics by Atkins, 4th edition. I'm given the momentum operator $$p=\sqrt{\frac{\hbar}{2m}}(A+B)$$ with $$[A,B]=1$$ and I need to find $x$ in this ...
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0answers
38 views

Feynman propagator with general $\xi$ parameter

Hey from my notes in my PS book it seems I have solved this some time in the past, but I cannot seem to get the indices straight this time around. So in deriving the Feynman photon-propagator which ...
1
vote
2answers
129 views

Having trouble understanding the concept of current and Ohms law

Circuit in series: $10\,\text{V}$ power supply, 2 resistors connected. Each resistor is $10\,\Omega$, total of $20\,\Omega$ resistance. If I put an ammeter at the end of the circuit, will the current ...
1
vote
0answers
36 views

A driven quantum harmonic oscillator (DQHO) [on hold]

I'm trying to find the dispersion relation for the DQHO with Lagrangian $$ L(q,\dot q,t)=\frac{1}{2}\dot{q}^2-\frac{1}{2}\omega q^2+F(t)q $$ with $F(t)$ being non-zero for $0<t<T$. The ...
0
votes
0answers
15 views

Determining a roton minimum from a dispersion relation

I'm currently struggling with a conceptual question in a homework assignment, I'm wondeing if you could maybe help me to understand it better. Here's the question: In class we used the symmetric ...
1
vote
0answers
18 views

Change to relative coordinates [on hold]

I am looking at a weakly interacting bose gas and I am stuck on this integral: $$\frac{1}{V^2} \int_V d^3r_1 \int_V d^3 r_2 W(|\vec{r_1}-\vec{r_1}|)\, \exp{\frac{i}{\hbar}r_1(\textbf{p}_1 - ...
0
votes
0answers
13 views

Acceleration of the rope holding two objects(one heavier than other) with both objects on different inclines [on hold]

How do you find the acceleration of the rope and what would this process look like condensed into one big formula?
1
vote
1answer
48 views

Frequency of Oscillations about Circular Orbit [on hold]

I'm trying to figure out the frequency of small oscillations about the basic circular path of a mass at the end of a spring, being spun around a table. I understand that the spring will stretch out a ...
1
vote
0answers
33 views

Geometrised Units

I am curious as to how to express a area units in geometrised ones. I was reading on wikipedia and saw that when angular momentum is converted into geometrised units, it is expressed as a dimension of ...
2
votes
3answers
146 views

What is the significance of clamping the center of the spring?

7. A block is hung on a spring, and the frequency $f$ of the oscillation of the system is measured. The block, a second identical block, and the spring are carried in the Space Shuttle to space. ...
0
votes
0answers
33 views

A confusion about the proof of $\hat{p}|x\rangle=i\hbar\frac{\partial}{\partial x}|x\rangle,$ using $[\hat{x},\hat{p}]=i\hbar~?$ [duplicate]

How to prove $$\hat{p}|x\rangle=i\hbar\frac{\partial}{\partial x}|x\rangle,$$ using $$[\hat{x},\hat{p}]=i\hbar~?$$ The question seems to be uncomplete because for any $f(x)$ ...
0
votes
0answers
15 views

Falling with air resistance speed as a function of distance [on hold]

Starting at 0 velocity and falling with air resistance $-mkv$, find the relation between speed and the vertical distance that an object falls. I went through the problem to find the equation of motion ...
0
votes
1answer
33 views

Projectile motion with air resistance limit question [on hold]

I have the equation for the max height $h$ of a projectile launched directly upwards with speed $v_0$ and air resistance force $-mkv$. I am trying to calculate the limit as $h$ goes to ...
1
vote
0answers
60 views

Differential equation of a Green function for a dielectric with a charge [closed]

adding Suppose there are two infinite planes, one in $z=a$ and the other in $z=b$, with $a<b$. Between the planes, there is a dielectric medium with constant $\epsilon_1$. The differential equation ...
0
votes
1answer
102 views

How to compute speed without knowing mass or charge values?

A gold nucleus is $460$ fm ($1$ $fm = 10^{(-15)} m$) from a proton, which initially is at rest. When the proton is released, it speeds away because of the repulsion that it experiences due to the ...
0
votes
0answers
29 views

Help finding the net electric charge flux! [on hold]

If electric charge flows with a current density vector function of $$ \mathbf J=\frac7R\hat{R}\,\,\,\,\,{[\rm A\,m^{-2}]} $$ find the net electric charge flux (i.e., the net current) flowing through ...
0
votes
2answers
30 views

Finding out time $t$ when a particle is more likely to be on the right half than the left half of the box [on hold]

Question: A particle with mass $m$ is trapped in a box of length $L$. At $t=0$, it has wavefunction as following: $$\psi(x,t=0)=\sqrt[]{\frac2{41\pi}}(3u_1(x)+4u_2(x))$$ where $u_1(x)$ and ...
3
votes
1answer
68 views

Yang-Mills constraints and Poisson brackets

Let's have constraints for Yang-Mills theory: $$ \varphi_{a} = \partial_{i}\pi^{i}_{a} - f_{abc}\pi^{b}_{i}A^{c}_{i}. $$ I have read the statement that $$ \tag 1 [\varphi_{a}(\mathbf x), ...
0
votes
2answers
101 views

combination of cells

There are m*n identical cells of emf E and internal resistance r connected in parallel rows. This combination of cells is connected across an external resistance R. For what arrangement of the ...
0
votes
1answer
64 views

Are the Pauli matrices closed under commutation?

I tried to make a group multiplication table for the Pauli matrices, but I keep getting multiples in front of the elements. What am I doing wrong? I thought the Pauli matrices formed a group that was ...
-2
votes
1answer
20 views

Linearization of equation of oscillatory motion [closed]

I need to linearize this function using Taylor series $$ \frac{3 A P_0 L}{2 x_{eq}} - \frac{A P_0 L}{2\left(L-x_{eq}\right)} $$ times $(X-X_{eq})$. Order of 1, just function which is zero because $X$ ...
2
votes
1answer
74 views

Normalization of a wavefunction that's superposition of two unknown energy eigenfunctions

Question:$$\psi(x)=A(3u_1(x)+4u_2(x))$$where $u_1(x)$ and $u_2(x)$ are energy eigenfunctions. How to normalize function $\psi(x)$? My intuitive solution: I got ...
0
votes
0answers
10 views

Find the SHM time interval [closed]

Parts i) and ii) I can solve. But for part iii) I can't do, as I don't know which equation describes the SHM motion? Is it $y=0.5sin(1.2t)$ or $y=0.5cos(1.2t)$ or $x=0.5sin(1.2t)+2.5$? I thought ...
1
vote
0answers
35 views

OPE of fermionic field bosonization in string theory, in Polchinski 10.3.12

In Polchinski's String Theory Vol. 2, equations 10.3.12 are $$e^{iH(z)}e^{-iH(-z)}~=~\frac{1}{2z}+i\partial H(0)+2zT_B^H(0)+O(z^2)\tag{10.3.12a}$$ ...
0
votes
0answers
72 views

How to prove $\hat{p}|x\rangle=i\hbar\frac{\partial}{\partial x}|x\rangle$,using $[\hat{x},\hat{p}]=i\hbar$? [duplicate]

How to prove $$\hat{p}|x\rangle=i\hbar\frac{\partial}{\partial x}|x\rangle,$$ using $$[\hat{x},\hat{p}]=i\hbar~?$$ The question seems to be uncomplete because for any $f(x)$ ...