Homework Statement
The diagram is attached. Photons are being beamed with momentum \rho_{0} and mass m at a slit of width A
Estimate the uncertainty \Delta p_{y} emerging from A
Sketch spot size at B as a function of slit width using the uncertainty principle
Determine minimum spot size...
I see what you're saying. Then the number of photons per volume in a black body from \lambda to d\lambda should be simply
\frac{8\pi}{\lambda^{4}}\frac{d\lambda}{e^{hc/(\lambda)KT}-1}?
It seems too easy though
Using your hint I believe I need to integrate from 0→∞
\frac{8(\pi)hc}{\lambda^{5}}\frac{d\lambda}{e^{hc/(\lambda)KT}-1}\frac{\lambda}{hc}
I used E=\frac{hc}{\lambda} for the energy of a photon. My final integral appears to be...
Homework Statement
\rho(\lambda)d\lambda=\frac{8(\pi)hc}{\lambda^{5}}\frac{d\lambda}{e^{hc/(\lambda)KT}-1}
What does this represent?
Calculate the number of photons per unit volume in a blackbody from \lambda to d\lambda
Homework Equations
N/A
The Attempt at a Solution
I...
Homework Statement
The Electric field lines in an X-Y plane are given in the attached image. The field is defined as E=αi(vector)y at x=0 and x=some distance along the positive X axis. α is a positive constant.
Test for charges in the X-Y plane
Homework Equations
N/A
The Attempt...
If you divide a square into infinitesimal segments along the y-axis (I am assuming because the field changes with x?), the breadth would be x (L), and I would assume area would be Ldy
This would leave
\phiB=αexL∫^{y}_{0}dy
Is this along the right track?
I appreciate your reply!
Homework Statement
A square loop of side length L is moving in the x direction with velocity v. v=vx. B points along the z axis and is defined by B=αxez where α is a constant. Find EMF along the loop
Hint: Find forces on charges in rod by virtue of motion of the rod.Homework Equations...
The work is shown in the image in my last post, but essentially I ended up with
dF=μ0I12ydy/2∏(d2+y2) -k
dyj crossed with the j component of the magnetic field zeros out, leaving only the -k component
You have been a tremendous help so far, I genuinely appreciate it as vector calculus and trig have never been strong points of mine
I worked through the problem keeping it in vector form but I don't get a convergent integral. I got dF to be in the -k direction which is into the page and what...
I have drawn the image as you depicted, and I see the B field, and was able to relate the angle the B field was going off at (90 degrees to the hypotenuse of an imposed triangle in the clockwise direction). I know it seems silly, but I am having an issue relating magnitude and direction to y...
Homework Statement
Wire Ia and wire Ib are infinitely long and perpendicular to each other, separated by distance d. Wire a has current Ia and the direction of current is into the page. Wire b has current Ib and the direction of current is straight up. What is the force per length of Ia on Ib...
Homework Statement
If a room is at 27C and the surroundings at 42C, and the heat into the room is 2,000 Cal s-1. What is the minimum work the air conditioner must do to keep the room at 27C?Homework Equations
COP = Tc/(Th-Tc)
Win = Qout/(1+COP)
The Attempt at a Solution
COP =...