Width Definition and 267 Threads

Homework Statement Laser light of wavelength 517 nm illuminates two identical slits, producing an interference pattern on a screen 87.5 cm from the slits. The bright bands are 1.15 cm apart, and the third bright bands on either side of the central maximum are missing in the pattern. a.) Find...

The depletion layer is formed by the movement of electrons from the n to p side and holes from p to n side of the diode. The layer consists of positively charged donor ions close to the n side and negatively charged acceptor ions close to the p side. When in equilibrium,the barrier potential...

Homework Statement In an undriven RLC-circuit, the characteristic time of the capacitor, ie the time taken for the amplitude of the capacitor voltage ## V_c ## to drop by a factor e, is ## T = 2L/R ##. We now have a RLC-circuit which is driven by a AC voltage of variable frequency ## \omega ##...

Homework Statement An electron is enclosed in a potential well, whose walls are ##V_0 = 8.0eV## high. If the energy of the ground state is ##E = 0.50eV##, approximate the width of the well. Answer: ##0.72nm## Homework Equations For an electron in a potential well, whose energy is less than...

The following question has stumped me. I am not getting the answer marked. Instead I am getting option a). I have produced my attempt below. Also I have no idea which formula to use when the question says Doppler width. Since frequencies form a distribution, there are multiple notions of width...

In our textbook, it says that the intensity of a double slit interference pattern stays the same if the slit width is negligible. I do not understand this concept. As far as I am concerned, intensity should decrease as the circle of diffraction increase, as intensity is work per area, and the...

Homework Statement There are 4 axial forces that are applied to 25mm thick structural steel bar with 40mm diameter . If the maximum allowable tensile stress in the bar is 135MPa and the maximum allowable deformation (extension or contraction) of bar is 1.25mm , determine the minimum width , w...

By bending a 16 cm wire a rectangular frame is made. By taking the length as x , write the width in terms of x. If the area of the frame is $11 cm^2$ show that x satisfies the equation $x^2-8x+11=0$ Solve the equation by taking the $\sqrt{5}=2.24$ Ideas on how to begin ? (Happy)

What are some effective ways to convert a Pulse Width Modulation from a Microcontroller to a DC Voltage as a function of Pulse Width? 1. Use a low pass filter to remove the unwanted harmonics and leave only the 0th term of the Fourier Series. What produces a better DC Voltage an Active or a...

350nm falls on a single slit of width of 0.20mm. What is the angular width of the central diffraction peak? I think that the width should be equal to 2Θ, where Θ=arcsin(m*λ/d)... m=1 and we have λ=350*10^-9 and d= 0.20*10^-6...but when i do the calculations I get 1.75 and the arcsin is a maths...

Homework Statement An electron is bound in a square well of depthU0=6E1−IDW. What is the width of the well if its ground-state energy is 2.50 eV ? Homework Equations En = h2n2/8mL2 The Attempt at a Solution I used n = 1 so I get: 25eV*1.6*10-19 = h2/8*9.11*10-31*L2 I got L = .388 nm. It...

Homework Statement How is the amplitude of a wave affected if the slit separation remains same but slit width is 1.)Increased? 2.)Decreased? and why? Homework Equations Intensity is proportional to the square of amplitude The Attempt at a Solution I consider the amplitude as allowed...

Homework Statement I'm having trouble understanding setting up a frequency distribution. I am confident I am doing it right, but the book I'm using differs when calculating width. The problem gives a bunch of numbers representing the number of counties, divisions, or parishes for each of the...

Trivial question: If a wave-packet is spreading with time, should the width of the wave-packet grow linearly with time?

Homework Statement When 450nm light falls on a slit, the central diffraction peak (central maxima) on a screen 2.0m away is 6cm wide. Calculate the slit width? wavelength= 450 x 10^9m L= 2m y= 0.06m w=? Homework Equations y/L = tantheta = sintheta sintheta = (m+1/2)lambda / w The Attempt at a...

Homework Statement A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a rectangle with the maximum area. Homework Equations P = 2(l+w) A = lw The Attempt at a Solution This is what I don't understand, the solutions that I saw from looking around...

Given this setup note: i just created arbitrary values if it helps, if not working with variables to find a general solution works fine too I am trying to find what the optimal width(would look like depth in the photo) of the wheel would be to generate the most power. I am stumped on how to...

Hi all, I know that the dimension of a partial decay width or a cross section should be GeV or pb respectively. But what if i have a decay width probational to ## \Gamma = 10^{-3} GeV^3 G_\mu ## where I calculated all the masses and constants in ## \Gamma ##, ## G_\mu ## is the Fermi...

Homework Statement Laser light with a wavelength 633 nm is used to illuminate two slits separated by 0.125 mm. The width of each slit is 0.0150 mm. Assuming that only fringes between the first minima in the pattern are counted, how many bright fringes are visible? lambda = 633nm d = 0.125mm w=...

Hi. Has anybody here any experience with SciPy? I'm trying to get SciPy to adjust a gaussian function to some data. For more details its the photopeak of Co60. This is what I do: import numpy as np from scipy.optimize import curve_fit # counts is a numpy array which...

Homework Statement Is diffraction at a maximum when the width of the gap is similar in length to the wavelength of the light? (ie. W ≈ λ, where w=width) Or is it a maximum when the width is smaller than the wavelength? (i.e W < λ)Thanks for the help!Homework Equations n/a (this is a homework...

I was working on derivation to find the witdh of principle maxima in n slit diffraction Angular width=2Δθm=2λ/(Ndcosθm) Where d:distance between slits θm:angle at which mth order principle maxima is present. N:no. Of slits #in the diagram given below why the minima just adjacent to mth...

Homework Statement You are a member of a geological team in Central Africa. Your team comes upon a wide river that is flowing east. You must determine the width of the river and the current speed (the speed of the water relative to the earth). You have a small boat with an outboard motor. By...

why the width of dark ring decreases as we go away from the center in Newton's rings experiment?

I am making a small solid state tesla coil. I have the secondary coil, toroid and primary coil but am not sure what to do for a control circuit. I was planning on using two 9 volt batteries for power. Would a DC to Pulse Width Modulator work? This is the one I was thinking of -...

Homework Statement (image is clickable)The figure below shows the distribution of impacts on a screen (see image above) when a beam of electrons of energy ##2.5 \cdot 10^{-3}##eV passes through a single slit. The width of the slit is? Homework Equations ##a\sin\theta=m\lambda \\...

Hi there, my question is along the lines of the following. I understand that in an experiment we obtain a distribution of masses for a given particle, due to the finite resolution of the detectors. In terms of a fundamental (if that even makes sense) decay width, what is the decay width? Is it...

Hi, I have a question. So, I've built this simple RC circuit. Of course, the pulse width is then obtained from the oscilloscope. But, according to equation Vo(t) = E(e^(-t/RC)), the value t (pulse width) is larger. Considering the resistor, condenser, Voh, Vil, IC delay, and others, how should I...

My lecture notes give an example of two decay modes of ##K^+##, namely ##K^+\rightarrow \mu^+ \nu_\mu## and ##K^+\rightarrow e^+ \nu_e##. Both of these decays are suppressed due to helicity considerations which I understand, and the suppression factors are ##\frac{m_\mu c^2}{E_\mu}## and...

Homework Statement The half wavelength "dipole" loop roof television antenna is most sensitive to electromagnetic waves with a wavelength twice the width of the antenna. The frequency of the waves for TV channel 10 is 200 MHz. If you want to optimize the TV reception for channel 10, how wide...

Hi, 1. Homework Statement In the calculation of the matrix element amplitude of ## B \to l \nu ##, I got a factor ## \bar{l} (1-\gamma_5)\nu ## as in [hep-ph/0306037v2]. For ##|M|^2## I made : ##| \bar{l} (1-\gamma_5)\nu|^2 = (/\!\!\! p_l+m_l) (1-\gamma_5) /\!\!\! p_\nu(1+\gamma_5) =...

Hi! I have two questions regarding spectral lines, in the optical wavelengths. Every line has a width. One reason is the uncertinity in energy of the atomic states according to Heisenberg uncertinity relation. But this is just a very small part of the width, I think. Are there other causes to...

I'm quite aware of how to compute how FAR you are from the horizon, but my question is, how WIDE is the observable horizon at sea level (like, from left to right, how many kilometers is this): http://www.jeicentral.com/wp-content/uploads/2014/10/far_sunset_in_te_ocean_horizon-wide.jpg Thanks!

Question: The height of the given vessel is h,and the width of the given vessel is b (as given in the diagram). The density of the liquid is r.Find the force exerted by the liquid on the slant wall. Relevant formulae : P = F/A F = Vdg An attempt at the solution...

Hi all, I am looking for circuits that control the pulse widths of digital signals and their applications. Specifically, I am looking for circuits that map and a single input pulse width x to a single output pulse width y through function f(x)=y. Thoughts?

I'm looking at deep inelastic scattering of a low-energy inelastic electron scattering from a stationary proton target. I am given ##E## and ## \theta ## where ##\theta ## is the scaterring angle. ##E=4.879 GeV , \theta=10^{0} ## I am given a figure of cross section...

I would appreciate very much if you could help me with a puzzling question that seems a paradox to me. Every excited state of an atom (every line of the characteristic spectrum) has a “width”: the higher the width, the shorter the lifetime of the state, and when the atom de-excitates we get...

Hi there, I have a a partial decay width in form of ## \frac{d \Gamma}{d \cos{\theta}~ dq^2} = ## some terms functions in q and ## \theta ## variables. How to integrate this decay width in Mathematica over this two variables ? I tried some thing like j[q_]:= ## \int_{1}^{-1} ## Gam[q, ##...

I understand that the peak-width of diffraction data increases with increasing amounts of heterogeneous, localized (AKA "micro-") strain. So, if you have a single crystal with atomic impurities in it that each create micro-strain in the lattice, you would expect the amount of peak-broadening...

Hello, I read a derivation for the width of the depletion region W in "SEMICONDUCTOR DEVICE FUNDAMENTALS" by Robert F. Pierret in which at one point it says: http://imageshack.com/i/ipbgKsK9p Here again for better readability: x_N = \sqrt{\frac{2 K_S...

Hi I was working on delay-lines and I wanted to know if a pulse is delayed by 10 pulse lengths through a delay-lines than what is the corresponding storage bit for that delay line. Thanks

Mod note: Thread originally posted in a technical math section, so is missing the homework template. I am trying to solve this problem it states as follows "A piece of wire 24 cm long has the shape of a rectangle. (a) Given that the width is W cm, show that the area, A cm^2 of the rectangle is...

Hi everyone, So my quantum physics teacher gave this problem to solve as homework: An experiment to watch neutron diffraction was made. The neutron wavelenght measured was 18.45 Angstroms. The double slit was created by putting a thread in the middle of a single slit. The dimensions of the...

> Q:The two charged strips in the following picture have width b , infinite height,and negligible thickness(in the direction perpendicular to the page).Their densities per unit area are \pm \sigma . >a)Find the field magnitude produced due to one of the strips from a distance a away from...

Homework Statement Monochromatic light of wavelength 550nm is used to illuminate normally a narrow slit. A converging lens of focal length 50cm is used to focus the diffraction pattern onto a screen. If the separation between the first minima is 10.0mm What is the width of the slit. The ans is...

I guess we all know laser beams. I wonder if we can make beams in the microwave frequency range and how the beam width relates to the frequency, e.g what is the minimum beam width we can achieve with a frequeny of 50Ghz.

I would like to ask when can someone add the width in a scalar particle's propagator. In general the scalar propagator can be: \frac{1}{k^{2}-m^{2}+i \epsilon} (\epsilon \rightarrow 0) However I read somewhere that if necessary one can include a width for the propagator...

So the question is A rectangular plate has length l, width w and thickness t. Its density is constant across the width, but varies with distance from one end as ρ=ρo [1 + (x/l)^2] Find the plate’s mass and the coordinates of it’s centre of mass. I Have had a bash at this question, thinking...

Why is it that the width of a wire grid polarizer has to be less than the wavelength of the wave which I want to polarize? What would happen if the width was a little bit more?

for the class 100-199, the f (number of household) is 20, but in the histogram, the frequency is divided by 2 which 20/2 = 10 , but how can it show that in the class 100-199 , the total frequency of 100-199 is 10 ? when i look at the histogram, i would directly think that there are f=10 in the...