Resolution Definition and 313 Threads

Hi, What is the smallest pulse i can see using an oscilloscope with 1GHz bandwidth? Im interested in the formula that links bandwith and smallest time resolution. Also it would be nice if you could include the reference of where i could read and learn about this things. Thanks and sorry...

Resolution is the smallest change that can be measured by an instrument. Accuracy is the closeness of a measured value its 'true' value. Precision is essentially related to repeatability when you try to do the same measurement a few times. Forget precision for now. We know the terms...

I'm trying to teach myself optics from Frances Sears' book Optics from 1949. I'm attempting every problem, and there are answers to the odd ones in the back. I've gotten a lot of wrong answers and don't know why, had a few I just couldn't even see how to start, and at this point, I'm seeing...

I didn't know that resolutions are defined in volts until today. I never wrote units to them. I read in wiki that... So it can be expressed as both? I'm confused. Must I write units to resolution, or can I interchange them between bits and volts?

Can someone explain the concept of energy resolution to me, especially in gamma cameras. Thanks.

Homework Statement The image formed by a microscope objective with a focal length of 5 mm is 160mm from its second focal point. The eyepiece has a focal length of 26mm. a.what is the angular magnification of the microscope?Homework Equations Mtotal=M_e*m_o m_o= linear magnification of...

Hey guys, this isn't an assigned homework question but I'm self-studying basic DSP from the free Smith book (can't post a link, but it's the first link if you google "smith dsp") and I have a question on some material. Also, I've searched the forum and most questions related to this subject...

Homework Statement A trailer with a mass of 900 kg with mass centre (centroid) at G is attached to a towing car at A. If the car and trailer reach a velocity of 60 km/h along a horizontal road in a distance of 30 m from rest with constant acceleration, compute the vertical component of...

I have been thinking about the logic of resolution of a main force into its component forces. Up to my stage i have just come across with the 2-dimension force which take x-axis and y-axis as their basis. So if they take y and x-axis as the basis for the components of a single force, supposedly...

I worked through a simple twin paradox problem, and I think I have the correct solution. However, I wanted to confirm that my numbers are correct. There is nothing fancy about the solution, but it resolves the "paradox" completely for me. Every other resolution I have looked at either leaves...

For a given pinhole size in a camera, and camera size, what would be the optimal pixel size to get the maximum resolution at maximum light intensity? i.e. the larger the hole, the more light enters through it, but eventually the sharpness would drop below the resolution. Conversely, the...

Supposing a perfect optical instrument, what is the best angular resolution possible when observing distant stars?

I have done a lab on resolution power of a telescope. a wire gauze was placed infront of sodium lamp and i used a telescope with adjustable vertical slit to look at it. i was bit confused with the theory .. 1) I was told to record the slit width when the vertical wires just cease to be seen...

Hi all I have measured the resonance frequency of a resonator as a function of time by mean of a Laser-Doppler vibrometer and a frequency counter. In this measurement there are some fluctuations in the measured frequency as time goes by. My question is: How do I determine the resolution of...

Hey all. I know that the maximum resolution of a telescope directly relates to the size of the aperture and the wavelength of the light. What I'm wondering is what would happen if you took "pieces" of a much larger mirror from opposite edges and just used those pieces. Pretty much what this...

i am calibrating a detector set up using alpha particles to find resolution. i have 2 silicon detectors a thin and thick one where the alpha is expected to pass through and lose energy in the first and be stopped by the second. My handbook says i can find the energy resolution in the second...

I'm looking for the answers ,AKA resolution of calculus by James stewart from 4th edition. Please, if this is the wrong area, transfer the topic, but please don't delet it. I'm looking for sometime this answers...thanks in advance, Jonas.

Homework Statement How far away can a human eye distinguish two car headlights 2.1 m apart? Consider only diffraction effects and assume an eye pupil diameter of 5.0 mm and a wavelength of 550 nm. What is the minimum angular separation an eye could resolve when viewing two stars, considering...

Homework Statement Suppose that you wish to construct a telescope that can resolve features 7.0 km across on the Moon, 384,000 km away. You have a 2.2 m-focal-length objective lens whose diameter is 10.5 cm. What focal-length eyepiece is needed if your eye can resolve objects 0.10 mm apart...

let me first donate a(A,B) is the acceleration of A relative to B Observer 2 and a subject A with mass m are falling down from a building Observer 1 is standing on the ground to observe the motion of these two objects Ignore the air resistance In observer 1,he sees the force acting on A...

Hi everybody, i am having difficulties to write a program using only MATLAB to solve the Mrtd SCHEME...that is solving the maxwell equations...can anyone please help me

Homework Statement Electrons are accelerated by 2450 V in an electron microscope. What is the maximum possible resolution? Me=9.11 x 10^-31kg and e= 1.60 x 10^-19 C Homework Equations I'm not so sure which equations to use for this question.. maybe the Planck's formula? λ=h/p...

Homework Statement A force which is at an angle θ to the horizontal (not being 90°) has two components Fx = FCosθ and Fy = Fsinθ along the x and y direction. However, when working out problems regarding objects on an incline, the horizontal (parallel to the slope) component of Normal force...

How do I prove that Ʃ\ket{ei} \bra{ei} = I

According to Faynman Lectures on physics in the chapter of geometrical vol1 ch27, the general rule for the resolution on any optical instrument is this: Two different point sources can be resolved only if one source is focused at such a point that the times for...

Homework Statement Revered Members, Kindly see my attachments. Homework Equations This is Atwood machine dealing with motion on a frictionless inclined plane. The Attempt at a Solution To better visualize the forces involved, i isolated m1 and m2 and drawn free body diagrams...

Homework Statement (a) Give a resolution refutation of the following formula: (x ∨ y) ∧ (y ∨ ¬z ∨ ¬x) ∧ ¬x ∧ (¬y ∨ x) (b) Convert the formula into CNF and give a resolution refutation for it: x1 ∧ (x1 ↔ x2) ∧ (x2 ↔ x3) ∧ (x3 →¬ x1) Homework Equations n/a The Attempt at a...

Homework Statement Revered members, i have attached two images which depicts obtaining an expression for velocity and acceleration of particle executing SHM. Homework Equations In the first attachment, velocity component vcos\Theta is parallel to vertical diameter of the circle and...

Does anybody know of a good reference for determining the required diameter of an Earth observing telescope's primary mirror? I am trying to find determine a rough estimate for a design I am working on. So far I have found the equation Sin\theta = 1.220 \lambda/D for angular resolution and...

Should the US veto a UN Security Council Resolution for the creation of a Palestinian State? M. Abbas, the President of the Palestinian Authority (PA), plans to petition the UN Security Council on September 20 for the recognition of Palestine as a full UN member state. The US has already...

Hi Im comparing PET scans and MRI scans and I've noticed that MRI s spatial resolution is 0.3-1mm while PET scans have a spatial resolution much larger, around 5-7mm. I was just wondering how these figures are calculated. I've looked up some formulae and all I could find was wikipedia...

Homework Statement Pulse radar: Parameters: Carrier frequency: 5.3*10^9 Hz Pulse length: 20*10^-6s PRF: 30*10^6Hz Homework Equations The question is this: "100 pulses are reflected from a moving target and received by the radar. -What is the resolution of a speed...

I need your help, guys. The link below is to the paper, that is, in my opinion, contains resolution of one of the most interesting problems of math logic and set theory – Russell’s paradox. As Cantor’s and Russell’s paradoxes is a “paired” problem you will find resolution of both in it...

Hello all, In terms of Radio Astronomy, can someone please explain to me the difference between the Beam Width and the Angular Resolution? I have a 1.2m dish to play about with, and I wanted to know what it could resolve. I thought I was sorted by using the diffraction formula, but then I...

The U.S. owes China around 2 trillion dollars. How might patent violations and industrial espionage by China (and the U.S.) figure in modifying this debt? In that regard it seems to me that China is undermining the U.S. economy by being the stealthiest of thieves. Can the debt be further...

Homework Statement Prove by both natural deduction and by resolution ((X \Rightarrow ¬Y)\vee(¬X\RightarrowY))\Rightarrow(¬(X\wedgeY)\wedge¬(¬X\wedge¬Y))Homework Equations The Attempt at a Solution as far as natural deduction on this goes i have no idea since there is no ' I- ' looking symbol so...

I've done plenty of imaging performance testing on a variety of systems, from millimeter wave through UV. Until very recently, such testing required expensive and specialized equipment. Now, with digital imaging (at least in the visible), you can perform the same type of characterization on your...

Homework Statement The airspeed of a small plane is 200 km/h. The wind speed is 50.0 km/h [E]. Determine the velocity of the plane relative to the ground if the pilot keeps the plane pointing in each of the following directions. a) East (250 km/h [E] ) b) West (150 km/h [W] ) c) North (206...

I have a question about digital to analog converters. Lets say I am given a R-2R ladder type DAC with 7 "wrungs". This implies that I have 2^7 = 128 bits. Now if I want to represent an equivalent decimal resolution of that DAC, how do I go about doing that? Let's say the input...

Homework Statement A biologist is using a high power optical microscope wishes to improve the resolution by staining the the specimen being viewed. which color stain would allow the biologist to achieve the better resolution: red or blue? Homework Equations The Attempt at a...

How to find the resolution of a Michelson interferometer ?

Homework Statement Determining the resolution for a new PIPS (Passivated Implanted Planar Silicon) detector. I've done this earlier for a Ge detector, but that was easy because the two peaks of the Co-60 are far apart. For this measurement we use the normal Am-241 source which has two...

Homework Statement A 3.1 cm--tall object is 26 cm to the left of a lens with a focal length of 13 cm. A second lens with a focal length of 8.0 cm is 42 cm to the right of the first lens. Homework Equations 1/s + 1/s' =1/f M=-s'/s and I'll have to multiply the two M's together to get the...

Hey... short question. I was wondering if anyone has any idea of what units to use in this equation for momentum resolution?... \(\left|\frac{\sigma(p)}{p}\right| = \sqrt{A_N}\frac{\epsilon}{L^2}\frac{p}{0.3B}\) where \(A_N=\frac{720}{N+5}\) Where N is the number of measurements made...

Homework Statement Snoopy is running to his doghouse at 3.0 m/s [N 15° E] for 35 s. Charlie has a bone and calls his dog back. Snoopy immediately turns around and runs towards Charlie at 4.5 m/s [S 45° W] for 30 s. Find Snoopy's displacement.Homework Equations dt = d1 + d2 d1=d1x + d1y & d2=d2x...

Hi there, I am doing some research online trying to find a good site that explains to me how sensor resolution works. I have a very vague understanding right now and I was hoping someone could go through it with me. I'll give a bit of background as to the task I have. I have a 4 quadrant...

Hi Say I have a peak of about 100 MHz, and my apparature has a resolution of about Δλ 0.5 nm. How can I find out whether I will see the peak or not?

Every so often I read articles about how you can save a lot of money simply by negotiating your bills down. One even noted how it can be the perfect new years "resolution". While it's not a resolution per say, the idea is when the first of the year comes around, call all of your cable/cell/phone...

I need help with the following question on Resolution in FOL. The custom officials searched everyone who entered this country who was not a VIP. Some of the drug pushers entered this country and they were only searched by drug pushers. No drug pushers was a VIP. Let E(x) mean ”x entered...

So I have this graphics card and I don't understand why its specs say "no" for 1080p support. http://www.tigerdirect.ca/applications/SearchTools/item-details.asp?EdpNo=5274435&CatId=3669 It says max resolution 2560x1600 and 1080p is only 1920x1080. I use a 32" LCD for my monitor and my...