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Change of Basis For Pauli Matrix From Z Diagonal to X Diagonal Basis

I want to find a matrix such that it takes a spin z ket in the z basis, $$ \lvert S_z + \rangle_z $$ and operates on it, giving me a spin z ket in the x basis, $$ U \lvert S_z + \rangle_z = ...
1
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1answer
49 views

2 simple Generators = Im lost (intensity) [closed]

What happens? we have 2 Generators and 2 intensities, when I2 and I3 come together (they have opposite sides ) what happens? I tried writing down the voltage relations but I'm stuck because I don't ...
0
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1answer
55 views

Center of mass after explosion [closed]

How he treated the center of mass as if it is still in the same place , is not it supposed to change after explosion ? and is not explosion destroying the closed system? i mean it represents and ...
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2answers
61 views

How to find the amplitude of magnetic field of this plane wave

Because my previous question was short and confusing, it was put on hold. This is my new question, which getes straight to the point. I have an electromagnetic plane wave which has wavelength $λ$ = ...
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3answers
64 views

Finding the Direction when resolving a Vector

When you are finding the resultant of a vector I understand that to find the magnitude you use Pythagorean Theorem and I understand that to find the direction you are going to use $\tan^{-1}$ (or ...
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0answers
26 views
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1answer
147 views

photon polarization, uncertainty in Energy

A beam of red light is sent along the $z$ axis through a polaroid filter that passes only $x$ polarized light. The beam is initially polarized at $30$°, and the total energy is $10$ Joules. Estimate ...
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0answers
23 views

Electric field of Symmetric Parts [closed]

So I'm preparing for a test and one thing that I haven't seen examples of, but know is possible is using Gauss's Law on objects that have symmetric parts. I made up the following question: Find ...
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1answer
38 views

Kraus operator rank

All quantum operations $\mathcal{E}$ on a system of Hilbert space dimension $\mathcal{d}$ can be generated by an operator-sum representation containing at most $\mathcal{d^2}$ elements. Extending ...
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1answer
18 views

Final velocity of a spring [closed]

I need to calculate the velocity of an object when it is thrown by a spring; we have to calculate the velocity from $U=\frac 12 kx^2$. Now I know that $U=L=F\cdot S$ and $S=\frac{v_f^2-v_0^2}{2a}$. ...
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0answers
31 views

Force, Mass and Acceleration [closed]

I was looking at the following question and was just wondering if it was as simple as it sounded. A man is in a car and starts to accelerate at $5ms^{-2}$. (a) If the gentleman weighs 75kg, ...
0
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1answer
38 views

Plancks law of blackbody radiation

I am going to plot this curve with wave length: $$ I(f)df = \frac{2 \pi h}{ c^{2} } \cdot f^{3} \cdot \frac{1}{ e^{ \frac{h f}{kT}-1 } } df $$ converting: $$ I( \lambda )d \lambda = \frac{2 ...
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1answer
2k views

Minimum height of mirror required to view image

I wanted to know the minimum height of mirror required to be able to view a complete image of a person. I considered the following setup: $HF$ is the person in question. $H$ denotes the head, $F$ ...
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0answers
27 views

Application of Snell's Law || Basic Optics [closed]

As shown in the diagram the setup consists of a source and a detector in a 2 layered medium-the interface being inclined to the horizontal.Will the travel times for both cases(source to detector and ...
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1answer
40 views

Equation for Terminal Velocity on an inclined plane and the time it takes to reach it

Now I'm doing a research on the matter similar to this thread : Terminal Velocity of identical shape/size objects which is very self explanatory and very helpful. However in my case, the objects will ...
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0answers
20 views

Physics Homework help [closed]

If a curve with a radius of 80m is properly banked for a car traveling 62km/h , what must be the coefficient of static friction for a car not to skid when traveling at 92km/h ?
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1answer
17 views

Optics, finding the acceleration of images [closed]

the acceleration of both the blocks of mass m will be g, hence the acceleration of the images will be 2g. acceleration of the two images w.r.t. each other will be 2g + 2g = 4g but the answer is ...
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0answers
12 views

Determining speed of transverse wave [closed]

A transverse wave on a string, given angular frequency $\omega$, wave number $k$ and max displacement from equilibrium $A$. Determine the speed of the wave along the string. ATTEMPT $ v = { \omega ...
4
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2answers
181 views

What's wrong with my derivation for the spring constant? [duplicate]

An $8.00\ \mathrm{kg}$ stone at rest on a spring. The spring is compressed $10.0\ \mathrm{cm}$ by the stone. What is the spring constant? I used conservation of energy to solve this problem. The ...
2
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0answers
107 views

Help with the inverse of a matrix [closed]

In some paper I have been reading there is a matrix $M_{ij} = g_{ij} + \epsilon_{ijk}y_k$. In the RHS $g$ is the metric of some manifold and $y_i = b_i + v_i$ where $b_{ij} = \epsilon_{ijk} b_k$ and ...
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1answer
121 views

Confused about elasticity and collisions

I was solving the following problem and the explanation to it confused me. There are two objects with mass $m$ and $M$, respectively. The object with mass $m$ has a velocity of $\sqrt{2gl}$ and ...
0
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1answer
46 views

Speed, Velocity and Acceleration

How do you calculate an equation that asks to calculate the final velocity without time being given? But with distance being given...
0
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0answers
13 views

Calculating entropy [duplicate]

Suppose 30 gram of metal Gallium melts at 36 °C. The specific heat of fusion is 80.3 kJ/kg and the melting temperature is 29.9 °C. Explain if the melting of the Gallium in this process is ...
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0answers
30 views

Determine change in entropy - Please verify [closed]

Suppose 30 gram of metal gallium melts at 36°C. The melting temperature is 29.9 °C and specific heat of fusion is 80.3 kJ/kg. Explain if the melting of the gallium in this process is reversible or ...
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1answer
33 views

Transformation to a uniformly rotating frame

I'm midway through a problem at the beginning of a GR course, my question is simply this: If $$ x=x'\cos\Omega t-y'\sin\Omega t $$ where $x'$ and $y'$ indicate the rotated frame of reference. What ...
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0answers
30 views

Vector of electric field

I have a triangle whose points are in $A(0,0,0)$, $B(a,0,0)$ and $C(0,a,0)$. The edges of this triangle are uniformly charged with value $Q'$ and everything is in vacuum. I need to find the vector of ...
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0answers
32 views

Plank stopping time (Continuation and Physical meaning)

A while back I asked this problem: "Plank stopping time" I thought it was solved, but now I have some questions about the solution. Problem: A plank of length $L$ and mass $m$ lies on a ...
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3answers
74 views

What is the purpose of the factor $N/L$ in the magnetic field of a solenoid?

I am supposed to find the expression of the magnetic field on the axis of a solenoid of radius $a$, length $L$, and with $N$ the number of turns. So in order to find $dB$ (to integrate over dx), I ...
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0answers
90 views

Tension in a pulley system [closed]

In the question above, what I don't understand is how to calculate the tension in the second case (case in which the pulley is there). I realized after reading some questions, that the arrangement ...
0
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1answer
40 views

Derive the generating function for canonical transformation of type $F_3$

I'm working on some practice questions and I am a bit confused with this one: Generating functions of the type $F_1(q,Q)$ satisfy the condition: $$pdq-PdQ = dF_1$$ Starting from this condition ...
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1answer
22 views

Voltage divider example [closed]

I have the following voltage divider circuit: Now, my goal is to find U_{L}. Altough, I know already the solution (U_{L}= ...
2
votes
1answer
37 views

When two plane mirror are inclined at 60° to each other?

How many images will be formed? In the case above I think 5 images will be form. But how can I exactly find out the number of images if the inclination angle is different. Is there any formula or it ...
0
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3answers
69 views

Damped simple harmonic oscillator problem

I'm supposed to calculate and draw the phase space trajectory for this: for the two different cases when and . I've never done this sort of question before, how are they done? I've tried ...
0
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1answer
39 views

Solving for current in a circuit problem (image included)

I need to find $I_{R_2}$ and I need someone to explain why $I_T = I_{R_1} = 1 mA$. I thought that we were supposed to use the fact that $I_T = I_{R_1} + I_{R_2} + I_{R_3}$: ! I have solved for $R_T ...
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0answers
18 views

Question on electromagnetic wave propagation [closed]

how to do part d of this question? i have done part 1 to three but part d is bit confusing.
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0answers
23 views

In young's double slit experiment? [closed]

A dark fringe occurs at a point when $n$ being an integer, the phase difference between the wave from the two slits is? I tried hard to solve it and come with this answer n+0.5pi. In young double ...
2
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1answer
69 views

Ground state of BCS mean field Hamiltonian

I have question following the logics of BCS Theory regarding the ground state. First let me recap the logics of textbooks, for example, by Carsten Timm . After obtaining the interacting BCS ...
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1answer
36 views

Capacitors in Series and Parallel [closed]

I'm working on a physics project and we're disagreeing on how to analyze a circuit. I think the circuit should be $(1/c_1 + 1/c_2)^{-1} + c_3$ and other people in my group think it should be $((c_3 + ...
0
votes
1answer
29 views

What is the smallest resistance that can be used in a 5 V circuit if the resistors available are rated for 1/4 W? [closed]

What is the smallest resistance that can be used in a 5 V circuit if the resistors available are rated for 1/4 W? What is kind of throwing me is that it wants the "smallest resistance that can be ...
0
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2answers
65 views

Difficulty evaluating a complex integral on Griffiths

This actually a question from Griffiths QM. (Q2.21) I have difficulty understanding integrals involving imaginary components. In this example, it looks like the first term (encircled in red) explodes ...
0
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1answer
61 views

Using Cosine Law to Find Net Electric Force on Charge Always Results in Positive Number?

In order to determine the net force other charges have on a particular charge, you must take into account each individual electric force between the charge and the charge of interest. However some of ...
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2answers
47 views

What is the Planck quantity of an expression?

I don't know what a Planck quantity is (I tried google), but someone at school gave me this problem. As you know, I have no idea how to approach this due to the weird terminology. Find the Planck ...
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votes
1answer
91 views

How did they solve for $y = -(1/2)gt^2$? [closed]

I am reading through my Physics book lesson and these are the known and unknown values they are discussing. ! So can you please tell me how they went from $y = \frac {-1}{2}gt^2$ to $t = \sqrt ...
0
votes
0answers
33 views

Compute the colour in the AB photometric system [closed]

I have a question for homework and don't get it at all: Consider two filters as shown in the figure below. Compute the colour S1 - S2 in the AB system for a star with flux: where is a constant ...
0
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2answers
30 views

If a mass $m$ whirls with constant speed $v$ at the end of a string of length $R$, what is the force on $m$ in the absence of friction or gravity? [closed]

This problem appears in a book I'm reading. The solution is given as follows: The only force on $m$ is the string force $T$ which acts towards the center. The radial acceleration is $a_r = \ddot r ...
1
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2answers
55 views

Pulling on a weakened rope - where will it tear?

Let's say I have a rope of 10m length and it is weakened in 3 spots: at 2.5m, at 5m and at 7.5m. Weakened means that if enough tension is applied it will tear at these points (all points are equally ...
2
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1answer
76 views

Special Relativity: Finding the Euler Lagrange of a massive particle

Knowing that $$\tag{1} L= -mc\sqrt{-\eta_{ab}\frac{d\xi^a}{d\lambda}\frac{d\xi^b}{d\lambda}}$$ we get $$\tag{2} p_a=\frac{\partial L}{\partial(d\xi^a/d\lambda)} = m\eta_{ab}u^b.$$ How come? If I ...
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1answer
189 views

Question on hadamard gate and cnot gate circuit tables

I'm trying to solve this problem for homework: Now show that if the CNOT gate is applied in the Hadamard basis - i.e. apply the Hadamard gate to the inputs and outputs of the CNOT gate - then ...
1
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0answers
42 views

Thermodynamics: Caclulate final temperature with hot metal in gas [closed]

I've been working on this problem for a couple of hours now, and I think that I simply don't understand the basic principles that tie into the problem: (note that I attempted this problem and it was ...
-1
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0answers
40 views

Physics - Waves (Help!) [closed]

When a microphone is moved along the line LS, the trace seen on the c.r.o. varies from a MAXIMUM amplitude to a MINIMUM amplitude and then back to a MAXIMUM amplitude. Sketch this sinusoidal graph ...