I have looked through my optics textbook and many websites about single-slit diffraction. They all end up deriving an equation that looks something like this: I = I0*(sinc(B))2, where B = (1/2)*k*b*sin(theta), k = wavenumber, b = slit width. I don't know if there's something I'm not...
Homework Statement
The intensity of a sound wave at a fixed dis-
tance from a speaker vibrating at 1.31 kHz is
0.894 W/m^2.
Determine the intensity if the frequency is
increased to 2.33 kHz while a constant dis-
placement amplitude is maintained.
Answer in units of W/m^2
Homework...
Hi
I am looking at a bunch of atoms in a homogeneous magnetic field, irridiated by a monochromatic EM wave. I am trying to figure out how to intensity pattern of the emitted light by the atoms looks.
Case 1) I have attached a picture of the situation called "case_1.jpg". It is very clear...
The time averaged norm of the Poynting vector of this electromagnetic field (elliptically polarized light):
\begin{split}
\bar{E}(t,\bar{x})=&(\bar{E}_{0x}+\bar{E}_{0y}e^{i \delta})e^{\bar{k}\cdot\bar{x}-\omega t}\\
\bar{B}(t,\bar{x})=&\frac{1}{\omega}(\bar{k}\times\bar{E}(t,\bar{x}))...
Homework Statement
Got a question in a school examination, but here's the part I want to ask.
How does the number of slits per unit length, affect the intensity of the diffraction pattern?
What I do know is that the finer the slit separation, the wider the angle opens up.
But intensity is...
A proton is placed in an electric field of intensity 700 N/C. What is the magnitude and direction of the acceleration of this proton due to this field?
in a google I found that
1 proton= 1.6022 x 10 ^ -19
and 1.6726 x 10 ^ -27 kg
so I first get the force :
F= q*E
f= (1.6022 x 10 ^ -19...
It seems to me that luminous intensity should really be put in terms of energy, not a special unit (which itself is based on some arbitrary specification of energy.) The other 5 units and Avogadro's number should be the only fundamental units.
Homework Statement
Two long parallel wires are a center-to-center distance of 4.60 cm apart and carry equal anti-parallel currents of 4.40 A. Find the magnetic field intensity at the point P which is equidistant from the wires. (R = 4.00 cm).
Homework Equations
magnetic field for a...
Homework Statement
By direct calculation, derive and expression for the wavelength λ(max) at which blackbody radiation intensity is a maximum
[b]2. Homework Equations
Planck's law for the intensity distribution of blackbody radiation as a function of wavelength λ and the blackbody...
Our physics teacher gave us a formula to calculate intensity, she didn't really specify what intensity, it should be related to sound.
I = intensty
A = amplitude
P = Density
F = frequency
V = velocity
pi = 3.14
she said I = 2*(pi)^2*A^2*P*F^2*V
I can't find anything like this in books or...
Homework Statement
A partially elliptically polarized beam of light, propagating int he z direction, passes through a perfect linear polarization analyzer. When the transmission axis of the analyzer is along the x direction, the transmitted intensity is maximum and has the value of 1.5 I[0]...
I'm working with a setup involving a collimated laser (Thorlabs model CPS180), two polarizers, a beam splitter, and 2 photo-diodes. While measuring the intensity of the laser via LabView, without changing any of the components, I find the intensity varies by 0.2mV for the first hour of...
Hi,
Suppose we have the x and y components of the electric field being described as (E_{x}e^{i(kz-\omega t)}, E_{y}e^{i(kz-\omega t +\phi)}), what is the intensity?
I think the correct answer is E_{x}^{2} +E_{y}^{2} + 2E_{x}E_{y}\cos\phi. However, I am not sure how to deal with this using the...
Can a lux meter measure infrared intensity like it does for the visible light? I read from somewhere that it cannot. If you have an IR illuminator on in the dark and hold up your 'regular' lux meter to it, it will likely register 0 - an unhelpful and misleading result.
I'm just wondering if...
Homework Statement
The sound intensity level of a certain sound source is measured by two listeners located at different positions along a line from the source. The listeners are located on the same side of the source and are separated by 34.8 m. The listener that is closest to the source...
Homework Statement
I did a radiation lab a few weeks back. The task was basically to map out radiation intensity as a function of shielding thickness. A Cs137 gamma ray source was used, and lead was used as the shielding material. Data was taken meticulously and over long periods of time so as...
Homework Statement
Sound 1 has an intensity of 39.0 W/m^2. Sound 2 has an intensity level that is 2.5 dB greater than the intensity level of sound 1. What is the intensity of sound 2?
Homework Equations
I=energy/area*time
β=(10dB) logI/Io
Io=10^-12 W/m^2
The Attempt at a Solution...
In viewing a derivation of the formula describing the intensity of the interfering waves, I noticed how the electric field components were combined - one from slit a, the other from slit b. The intensity is then proportional to the square of this value. But this would mean that two in phase...
Homework Statement
Vertically polarized light with an intensity of 0.65 W/m2 passes through a polarizer whose transmission axis is at an angle of 30.0° with the vertical. What is the intensity of the transmitted light?
I0 = 0.65 W/m2
theta = 30.0 degreesHomework Equations...
Homework Statement
A diffraction grating is ruled with 500 lines/mm and
is 1 mm in width. Calculate the angular width of
the intensity peaks to the first minimum in the
Fraunhofer diffraction pattern of this grating, when
illuminated with light of λ = 600 nm.
Homework Equations
n-...
Homework Statement
A randomly polarized beam of light hits a water surface at Brewster angle. What is the intensity of the transmitted and reflected beams? The refractive index of water is n = 1.33
Homework Equations
The Attempt at a Solution
Since the light is randomly polarised...
1. Homework Statement
A 200 mW horizontally polarized laser beam passes through a polarizing filter whose axis is 25 degrees from vertical.
What is the power of the laser beam as it emerges from the filter?
P=mW
2. Homework Equations
I0cos2(theta)
I≈E0cos(theta)
I=E0cos2(theta)...
Second problem of the day...:blushing:
Homework Statement
(part 1 of 2)
A spherical source radiates sound uniformly
in all directions. At a distance of 52 m, the
sound intensity level is 46 dB.
At what distance from the source is the
intensity level 13 dB?
Answer in units of m...
OK, so i have a question about the nature of light, in the context of the photoelectric effect.
So when photons are incident on a metal, given that they have a high enough frequency they can cause electrons to be emitted from the metal. Now i know that intensity of light is to do with the...
In the book Introduction to Quantum Optics: From the Semi-classical Approach to Quantized Light by Grynberg, Aspect and Fabre I came across the following statement on page 385:
"By the end of the nineteenth century, classical electromagnetism,..., provided a wave description of almost all...
Hi all,
I am trying figure out this diffraction problem.
I have to find the intensity distribution of a four slit fraunhofer diffraction grating using the convolution theorem. I can do the math and all...but I do not know how to start it! The only information I am given is the slits have...
I'm trying to figure out the intensity of light in different sections of a 2d airy disk from a point source, but I'm not sure how to calculate it. Does anyone have any good sources?
Homework Statement
Show that the exit intensity as a function of Io (intensity out of light source) and θ12 (angle of second polarizer compared to the first polarizer) is
I = (Io/8) sin(2(θ12)))^2
Homework Equations
Malus' Law
I = Io (cosθ)^2
The Attempt at a Solution
I1 =...
Homework Statement
A plane monochromatic electromagnetic wave with wavelength λ = 2.2 cm, propagates through a vacuum. Its magnetic field is described by
\vec{B} = (Bx\vec{i} + By\vec{j})cos(kz+ωt)
where Bx = 1.8E-6 T and By = 3.8E-6 T, and i-hat and j-hat are the unit vectors in the +x and...
Homework Statement
A bird watcher is hoping to add a particular song bird to the list of species she has seen. If a person, only 2.35 m from the bird, hears the sound with an intensity of 1.9 10-6 W/m2, how far could the bird watcher be from the bird and still hear it? Assume no reflections or...
I have a 100watt xenon lamp , the UV component comprises of 5-6% of the total spectrum emitted by the xenon lamp . How do I calculate at what power is the UV light emitted ?
Is the whole spectrum being emitted at 100 W or is the power distributed through the spectrum? How is this...
Homework Statement
In a double slits experiment, the intensity at the central fringe is I. What will be the intensity at the central fringe when each slit is widened 2 times?
Homework Equations
The Attempt at a Solution
My suggestion is that the intensity will be 2I...
3.a) Use phasors to sketch the intensity vs. angle for a 4-slit interference pattern (identical
width and separation d=5 microns, wavelength =0.5 microns.)
b) On the same angular scale, draw the intensity pattern if the top two slits are covered.
c) The intensity pattern if the bottom 2...
Homework Statement
The following table gives some specific acoustic impedances
Tissue or Medium Specific acoustic impedance
Air 0.00044 x 10^6
Fat 1.38 x 10^6
Water 1.5 x 10^6
Brain 1.58 x 10^6
Blood 1.59...
Is the magnetic field intensity at point P stronger at 2 amps or 4 amps at point P (just outside each electromagnet), if they both have equal amounts of turns of wire.
No relative equations.
I know that magnetic field intensity is stronger as the number of loops are increased but I...
Homework Statement
Here is the question:Unpolarized light of intesity Io is incident on a polarizer-analyzer pair. If the angle between the polarizer and analyzer is 21°, what light intensity is transmitted through the polarizer and analyzer respectively?
Your answers will be in terms of...
Hi all, I was just looking for some assistance in reconciling the equivalence principle and the varying intensity of the gravitational field. (I'm in high school so go easy on me, I'm just studying Einstein's Relativity for the general reader).
For convenience let's keep with Einstein's example...
I am taking AS level Physics rite now, and wanted to know what exactly determines the energy of a wave. Well since I have recently learn of stationary waves(sound waves) being standing. I know that they are formed by the superimposition of the reflected waves on the incident waves. This causes...
Homework Statement
A tiny vibrating source sends waves uniformly in all directions. An area of 3.25 cm2 on a
sphere of radius 2.50 m centered on the source receives energy at a rate of 4.20 J/s.
(a) What is the intensity of the waves at 2.50 m from the source and at 10.0 m from the
source...
Homework Statement
If the intensity level at distance d of one trombone is 70 dB, what is the intensity level of 76 identical trombones, all at distance d?
Homework Equations
β = (10 dB) log10(I/I0)
I0= 1.0 x 10-12 W/m2
I = power/area
The Attempt at a Solution
70db = 10db log10(I/I0)...
Two speakers A and B are separated by 1 meter, the point P is 4 m away from speaker B. If P is a person for what frequency does he hear that the intensity have a minimum?. (The listener hear that the sound intensity reduces and increases).I don't know the distance from P to B. (They form a...
Two speakers A and B are separated by 1 meter, the point P is 4 m away from speaker B. If P is a person for what frequency does he hear that the intensity have a minimum?. (The listener hear that the sound intensity reduces and increases).I don't know the distance from P to B. (They form a...
In saturated absorption, the decrease in absorption (and corresponding increase in wave transmission) is dependent on the intensity of the incoming wave. But why can't we decrease the size of saturable material, rather than the intensity of light?
According to my understanding, saturable...
When a point source emits sound, the sound travels away from the source as a series of wavefronts - all being spherical shells - away from the source right?
Now, we say the energy is conserved if we neglect damping forces in the medium, and so the power delivered by the source should be...
Homework Statement
Electric charge of density ρℓ = 5 μC/m is distributed along the arc r = 2 cm,
0 ≤ ∅ ≤ ∏/4, z = 0. Find the electric field intensity at (0, 0, z)
Homework Equations
dE=(dQ(r)/(4∏ε(r^2))) (unit vector R)The Attempt at a Solution
Letting pL be the charge density, letting r^2 =...
I have a 150 W Xenon lamp with me and I need to know what is the intensity(W/m^2) of light being radiated on a surface at x distance away . How do I do it ?
Can I use a photodiode, if yes then how ?
Hello there folks, I have some materials science HW I would like some help with. I need to find the intensity of Kα radiation based on the equation:
I_Kα = Bi(V_A - V_K)^1.5, where B is a machine dependent parameter, i is the tube current, V_A is applied voltage, V_K is excitation voltage. Also...
I'm doing a solar cell characterization project. But due to some fault in my solar simulator(I'm getting different results from another set up), I'm now figuring a way to check the intensity of light shone by my simulator on cell. I'm trying to obtain it from the corrected data of my cell (Isc...