Width Definition and 289 Threads

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...

I have two independent variables (rotation in degrees, and distance from best focus distance in mm) and one dependent variable (1/e^2 width squared in mm^2). How would I go about creating either a multivariable function or a differential equation to describe the data? I've attached the raw data...

Homework Statement Estimate maximum slit width of a double slit. Homework Equations The Attempt at a Solution Letting the slit width be a, The intensity profile of such a system is: I = I_0 sinc^2\left( \frac{Nkasin \theta}{2} \right) cos^2\left( \frac{kd sin\theta}{2}...

What is the Decay Width of a particle and how is it related to the particle's lifetime ?

Hi all, I'd like to know what if we have a scatteing process A+B > C > E+D, what is the relation between the width of the resonance peak of the particle C at plotting the inv. mass of particles E and D and the total width of C . Regards, S.

Homework Statement This isn't homework or coursework as such, but i thought it may be the best place to ask this question. The last time i posted in the other section it was deleted! Im considering the case of an electrode of finite width L in the x direction. The y direction is...

Hey guys. I have been theoretically playing around with a single phase full bridge inverter. What I wanted to do was determine the waveforms for the current going through each of the components (ie. the four diodes and the four thyristors). I assumed all of them were ideal. Since I have no idea...

Hello everyone, I have read about the theoretical values of the Z boson decay partial width and how well they agreed with experiment. However there is something I do not quite understand: since these theoretical calculations were performed with the hypothesis that the masses of the decay...

Homework Statement In a damped harmonic oscillator, show that |R(\omega)|^2 = \gamma at full width half maximum. 2. My attempt at a solution This is another one of those questions that I feel like I am almost there, but not quite, and it's the math that gets me. But here goes: For a...

Homework Statement A small office unit is to contain 500 feet sq of floor space. (a) Express the length y of the building as a function of the width x. (b) If the walls cost $100 per running foot, express the cost C of the walls as a function of the width x. (Disregard the wall...

Hydrostatic forces on a gate with no width?? Homework Statement A gate is placed at the bottom of a dam wall at a distance of "H" below the surface (measured from the top of the gate). The gate is hinged so that there is 1.2m above the pivot point and 0.8m below the pivot. A stop is placed at...

Homework Statement A parallel beam of neutrons with speed 200m/s is incident on an absorbing sheet with a slit of width 0.01mm. Calculate the width of the beam 10m behind the slit. Hint The slit localizes the neutrons transversely (y) to their propagation direction x. The resulting ΔPy gives...

Homework Statement Calculate the width of the space charge region in a pn junction when a reverse biased voltage is applied. Consider a silicon pn junction at T=300K with doping concentrations of Na=10^16 cm^-3 and Nd=10^15 cm-3. Assume that Ni=1.5*10^10 cm-3 and VR=5V Homework Equations...

Homework Statement In a scanning electron microscope, a 0.3 keV electron beam, collimated by an aperture of width ∆xi, is directed towards a target 1 m away from the aperture. Assuming a field-free region from aperture to target, the uncertainty ∆xf in the transverse coordinate of the...

just to be clear, this is single slit diffraction of light if the slit width is made narrower, this would lead to more diffraction, so the fringe width would be wider, yeah? but I'm a bit confused, because is this basically the same as saying the fringe separation would be wider?

"Quantum Optics," by Scully and Zubairy, attempts to explain the natural line width of an emitting atomic ensemble (in a resonant cavity with leakage) using random spontaneous emission events of the atoms (which in turn is due to interactions with the vacuum field). The basic idea and...

Homework Statement Light of wavelength 680nm falls onto a single slit. The diffraction pattern is observed on a screen 50cm away. If the distance between the first and the third minima is 3mm, calculate the slit width? Homework Equations sin thetha = m*lambda/a y = m*lambda*R/a...

Homework Statement Homework Equations The Attempt at a Solution Part(a) Diffraction is the bending of light about an aperture. To be able to resolve two distinct images, the minimum angle must satisfy the rayleigh criterion. Any angle smaller will hence affect the quality of...

Here is the question: Here is a link to the question: Math problem, law of cosines.? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

why unequal fringe width in Michelson interference pattern?

please explain me -- width of depletion layer varies hey guys, i need to know how does width of depletion layer varies with various factors and i have mentioned all my queries below 1.first of all i want to know how does width of depletion layer increases with decrease in doping content??as...

I have read a lot of articles on pulse width modulation and I am none the wiser as to how it generates different voltages by simply varying the pulse width of the waveform. What I read was that if you have a rectangular wave train of some amplitude and change the 'ON' period the "NET" voltage...

Hi I'm trying to understand how the sum over spin polarizations is treated when using the Narrow Width Approximation(NWA) with a spin 1 resonance. For a spin zero resonance there is no such problem and the factorization is quite straightforward. I'll go through some details to explain where...

This is the question The flow of a fluid between two large flat parallel plates normal to the y direction is fully developed and steady. The plates are a distance 2h apart in the y direction and the velocity profile, assuming y=0 is at the midpoint between the plate is V(y) = V_0(1-(y/h)^2)...

Very commonly in thin film articles/journals, I find the full width at half maximum of X-ray rocking curves associated with the quality (order) of the surface. For example, if the same material is grown on two different substrates, A and B, with FWHM values of 0.11° for A and 0.6° for B, why do...

I have a signal that has several distinct peaks. I need to characterize these peaks by their max y value, their x location, and their width. I thought FWHM would be a good measure. However, these peaks are just from a data logger. They are pretty Gaussian curves. Furthermore, the curve...

Homework Statement I know that in free space, the width of a Gaussian beam can be written as W=W_0\sqrt{1+(\frac{z}{z_0})^{2}}. However, I was wondering if it was possible to express this width as a function of refractive index instead (since I don't believe a Gaussian beam originating in say...

I am looking for average values of the signal-to-noise ratio for pulse width modulation and for a direct signal?

I have a parabola centered at x=0, equation: y = a*x^2 + c, where a is always negative and c always positive. I need to find a way to calculate a and c, if i know: the arc length above the x axis, and the base width, knowing the base width i also know the x-axis intersections x1,2 =...

Homework Statement An excited electron (quantum number =4) in a 1D potential box de-excites to the ground state and emit a photon. This photon subsequently becomes absorbed by an electron in a hydrogen atom. The electron in the hydrogen atom becomes excited to an excited state with quantum...

Dear, In Zener Diode, In highly Doped diode,the breakdown(Zener breakdown) occurs in small voltage.How? Thanks& Regards, Viswanathan.M

Hello everyone! I just finishexd reading Death By Black Hole and I was interested in the Lagrange points. Neil talks about how if you placed objects inside of them you could use the points as place holders for objects while building in space. I couldn't seem to find anything about the width of...

Homework Statement Hi, I am trying to inject some faults into a CPU manually. But I am not sure what should the soft error (SET) pulse width should be? I know that is different in different case. Therefore, I am going to set up a random generator to generator the SET pulse width. But what range...

Homework Statement Consider the waveform shown below heading towards a boundary between two strings. Let string 1 have mass per unit length of µ1 = 0.05 kg/m and let string 2 have a mass per unit length µ2 = 0.02 kg/m. Let the tension in both strings be T = 100N. --> ____/\____ _ _...

Homework Statement Hello, Given the decay: H \rightarrow W^{-} + \bar{s} + c, where it only matters that \bar{s} and c are fermions and W^{-} is the W boson. If one knows the total width of the process how can we calculate the longitudinal width? Homework Equations In the frame...

It's given in my book that from the width of spectral lines you can determine whether or not it is a main sequence star... Not sure if astro-como or quantum.. Anyway, i need a detailed easy explanation of what is the width of spectral lines.. Secondly, if we know that how will we determine...

Homework Statement This is more of a general conceptual question. When finding the image produced through a convex or concave lens, I know that you can use the equation magnification = (height of image/height of object) to find the magnification of the image produced. But does this...

Homework Statement So I have tried to solve this problem but my answer keeps turning out to be wrong.. Someone please tell me what I am doing wrong? A 0.484 mm diameter hole is illuminated by light of wavelength 556.0 nm. What is the width (in mm) of the central maximum on a screen 3.45 m...

1. Homework Statement [/b] Normalize the following wave function, obtain the corresponding function in position-space (fourier transform) and find the width of the distribution in the x variable. Homework Equations \phi(p_x) = \begin{cases} 0, & \;\; |p_x-p_0| > \gamma \\ C, & \;\...

Homework Statement A single slit of width 1.50 * 10-6m is illuminated with light of wavelength 500.0 nm. Find the angular width of the central maximum.Homework Equations θ = λ / bThe Attempt at a Solution b = 1.50 * 10-6m λ = 5.000 * 10-7 θ = λ / b = 0.333 = 19.1° But the answer is 38.9°. All...

Please help settle this argument I had with a friend. We both have fast FWD cars, and on road courses we both have problems with oversteer (where the back of the car slides out on corners). He says if I put wider tires on the rear of my car, I will have less oversteer. My understanding of...

In diffraction why the slit width has to be the order of wavelength of wave? I don't understand. The smaller the width of the slit i think the more effective diffraction becomes. Why the width has to be order of the wavelength?

Homework Statement Given an isosceles triangle - Length = L - Uniform Density = ρ - Width Varies from 0 at x = 0 to a at x = L I attached a picture of it. Homework Equations Have to show the width at position x is given by (a/L)x The Attempt at a Solution Now it is...

Homework Statement (Refraction) A parallel beam of width W is incident on a interface. The index of refractions are n1 on the incident side and n2 on the transmitted side. (a) Find an equation that gives the width of the transmitted beam. (Assume there is an exit beam. IE we are not...

Homework Statement Consider a system with states |i> (with energy Ei) and |f> with energy eF) AND A PPERTURBATION OF THE FORM w(t)=wcosωt i) WHAT IS THE PROBABILITY P(t) FOR A TRANSITION BETWEEN |i> AND |f> ? ii)FOR WHICH VALUE OF ω IS THE PROBABILITY MAXIMAL ?GIVE THE PROBABILITY IN THIS...

For a pin photodiode, risetime=bandwidth/0.35 i get ~3ns for s5973 will it be affecting the measurement of 10ns laser pulse? How can i reduce the rise time?

Hi, I'm studying a theorem that is valid for a small coupling constant λ in the Schrodinger operator below -\frac{d^2}{dx^2}+\lambda V The potential has a parameter α which defines its width. My question is: Starting with λ=1 and α=1, can I claim that if I increase the value of α (α >> 1)...

Homework Statement A lifetime of the first excited state for some atom is τ, calculate natural line width for that line. The Attempt at a Solution Well, I could use energy-time uncertainty relation ΔE*Δt=h then ΔE*τ=h , now I can use a relation E=hc/λ to obitain Δλ=c*τ , which is...