In physics, the wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats. It is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings, and is a characteristic of both traveling waves and standing waves, as well as other spatial wave patterns. The inverse of the wavelength is called the spatial frequency. Wavelength is commonly designated by the Greek letter lambda (λ).
The term wavelength is also sometimes applied to modulated waves, and to the sinusoidal envelopes of modulated waves or waves formed by interference of several sinusoids.Assuming a sinusoidal wave moving at a fixed wave speed, wavelength is inversely proportional to frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.Wavelength depends on the medium (for example, vacuum, air, or water) that a wave travels through. Examples of waves are sound waves, light, water waves and periodic electrical signals in a conductor. A sound wave is a variation in air pressure, while in light and other electromagnetic radiation the strength of the electric and the magnetic field vary. Water waves are variations in the height of a body of water. In a crystal lattice vibration, atomic positions vary.
The range of wavelengths or frequencies for wave phenomena is called a spectrum. The name originated with the visible light spectrum but now can be applied to the entire electromagnetic spectrum as well as to a sound spectrum or vibration spectrum.
Hello, I know that spectroscopic ellipsometry (SE) is more accurate than single-wavelength ellipsometry (SWE), but I would like to know how to create a dispersion model using SWE instead of SE.
SE sweeps over wavelength, measures reflectivity vs. wavelength, and gives a variety of optical...
Homework Statement
1) find the wavelength of the sound of the tuning fork (cm)
2) what's the vertical distance x from the top of the pipe to the antinode above the pipe (cm)
3) find the frequency of the tuning fork (Hz)
Homework Equations
velocity = wavelength . frequency
for pipe closed at...
Hey guys!
I hope my English skills are enough to describe my problems sufficiently.(Homework Statement )
I. Following the following picture, what wavelength should a laser be used to process aluminum?
II. What metal surface can be cleaned with a frequency-doubled NDYAG laser?
To I:
The...
I haven't though about this from such a perspective but today while reading wikipedia (yes yes not the best source) I got confused, now the "eV" is said to measure the energy gained by an electron between a potential difference of 1V.
I assume particle physicists use this measurement because its...
In my experimental setup I have a purpose built small aluminium tube that has a black layer on the inside to mimic a blackbody.
The tube is heated so the inside emits as a blackbody. A separate temperature sensor attached to the tube gives the temperature of the tube.
I have a thermopile...
We are told to exorcise wave-particle duality because it belongs to the past, in fact prior to 1927. So it’s acceptable to believe matter is neither wave nor particle. But in exorcising wave-particle duality. Why does the deBroglie relationship of momentum being inversely proportional to...
As far as I know radiowaves can't penetrate such kinds of metallic constructions because their wavelength is too long to "fit in the gaps". But I don't understand what does the wavelength have to do with being able to penetrate though these gaps or fitting into small spaces. Can someone explain...
For electron scattering experiment which measures charge radius of the nucleus, it's said that energies of scattering electrons (or protons) must be such that their wavelength size is of the same order as nuclear dimensions. While i understand why this must be true I'm not entirely sure. My...
Homework Statement
A wave is shown below. The dots represent the particles of the wave at a time t = 0 s, and the vertical lines represent the positions of the particles before the wave arrives. Find the amplitude and wavelength of the wave
Homework Equations
Not sure
The Attempt at a...
Forgive my ignorance, I am learning about topics like the geoid, geoid anomalies, gravity anomalies as it relates to lithospheric composition.
In my studies, I repeatedly find talk of show wavelengths and long wavelengths having different effects on crustal composition.
One example I can give...
Homework Statement
Homework Equations
1/2 mv^2
E = hf
c = f (wavelength)
The Attempt at a Solution
0.5 * (9.109 * 10^-31) * (6 * 10^4)^2 = energy
energy = hf => f = energy/(6.626*10^-34) = 2.47 * 10^12
wavelength (m) = (speed of light) / frequency
wavelength (m) * (1*10^9) = 121235.4
Answer...
Homework Statement
The speed of light in a vacuum is 3.00x(10*8)m/s. Using the equation v=fxλ, calculate the frequency of red-light. (I was told to use the wavelengths given from textbook)
Wavelength/λ =700nm
v=300,000,000 <-- ( I need help understanding this. Is this a rate? Or?)
Homework...
This is something that has really been bugging me lately. There was a study from over twenty years ago that proposed that electromagnetic radiation might have been able to pass from one end of the universe to another in the early universe, furnishing an explanation for the homogeneity of the...
Homework Statement
Hi everybody! I am asked to calculate how much of the total radiated power of a light bulb at temperature ##T=2300##K is contained within ##400##nm and ##750##nm. I am also given the average emissivity of tungsten ##\epsilon_\text{ave}=0.288## and the emissivity within the...
Homework Statement
The fresnel-kirchhoff diffraction formula could explain diffraction,I think it should also produce the result with relatively small wavelength and large width slit in which case there is no diffraction.
Homework Equations...
Homework Statement
Is this E - say of an electron - the very E in E2 = (mc2)2 + (pc)2?
If it isn't, what sort of Energy is this?
Help is greatly appreciated!
Homework EquationsThe Attempt at a Solution
The length of a string is 1328 cm. It is held fixed at each end. The string vibrates in eight sections; i.e., the string has eight antinodes, and the string vibrates at 97 Hz.
Find the wavelength and fundamental frequency.
I have no clue, anything helps! Thank you!
Hi, would it be possible to explain to me how does wave length, phase difference and path difference all link as I'm struggling with calculations involving these three things.
A blackbody is also a perfect emitter giving off electromagnetic waves at all frequencies. A detector could measure the intensity of the radiation it receives through the prism. By moving the detector to different positions, you could measure the intensity of light as a function of color or...
I heard that even particles with a mass can be described as waves. The frequency of the waves increases with the speed of the particle.
So what would be the wavelength of an electron moving at, let's say, 1m/s?
The problem states that the wavelength and frequency in a waveguide are related by:
##\lambda = \frac{c}{\sqrt{f^2 - f_0^2}}##
then asks to express the group velocity ##v_g## in terms of c and the phase velocity ##v_p = \lambda f##
Solution:
Given that ##\omega = 2\pi f##,
## \omega(k) =...
Homework Statement
Upon using Thomas young’s double slit experiment to obtain measurements, the following data were obtain. Use these data to determine the wavelength of light being used to create the interference pattern. Do this in three different ways (6)
• the angle to the eighth maximum...
Homework Statement
Homework EquationsThe Attempt at a Solution
a) see attached.
b)[/B]
i) Decreasing the width of the slit will cause less interference fringes to be seen, increases the distance amongst fringes and the fringes become wider.
ii) If the screen was moved further away, fewer...
Homework Statement
I am working on a problem similar to this one:
In this solution, I do not understand what mc is, can someone explain? Also, would I follow the same type of steps if I have the kinetic energy of a photon and I need it's wavelength?
Homework EquationsThe Attempt at a Solution
I'm currently studying wavelength and frequency and I've learned about the equation v= f*Lambda. What will happen if temperature is changed? I know that speed of the sound will increase. Does it mean that wavelength will also increase? I was curious because if temp. increases, the frequency...
This thread is prompted by a closed thread which left it’s OP’s original question unanswered.
->https://www.physicsforums.com/threads/average-wavelength-for-blackbody-radiation.423536/
The original question asked:
is the ratio, of (a) the wavelength corresponding to the average energy in the...
Hi.
Does the de Broglie wavelength have any significance for the wavefunctions of particles in a potential that is non-constant in no region of space? As far as I can see, the solutions of the time-independent Schrödinger equation are only sinusoidal if ##E>V=const##.
This is enough to derive...
Homework Statement what happens to wavelength if temperature increases?
Homework Equations
V= lambda * frequency
The Attempt at a Solution
I'm guessing since no change to frequency is stated?.. and I know that the speed of sound increases as temperature increase. The wavelength would have to...
Homework Statement
Alas, after a sybaritic festival, the cheap upright piano in your fraternity house is found upright at the bottom of the house swimming pool. You decide to play Handel's Water music but first test the sound of middle C (261.6 HZ). The speed of sound in water is...
Homework Statement
A) Find the diffraction order from the grating that has an angle of incidence of 40 degrees and a diffraction angle of 20 degrees. The wavelength of incident light is 500nm and the spacing between the grooves on the grating are 5 micrometers
B) If I want to selectively emit...
Homework Statement
Coherent electromagnetic radiation is sent through a slit of width 0.01 mm. For which of
the following wavelengths will there be no points in the diffraction pattern where the intensity is zero?
A. Blue light of wavelength ##\lambda=500 nm##
B. Infrared light of wavelength...
Homework Statement
Calculate the grating constant, d, given that theta = 172.01167 degrees, and that lambda = 447.2 nanometers.
2. Homework Equations
d = mλ / sinθ
where m is an integer that refers to the order of diffraction
where λ is the wavelength
where d is the spacing between two slits...
Homework Statement
Determine what colors of visible light would be absorbed by electrons in an infinite well, N = 3.1 nm. The effective mass for an electron is one-fifteenth of the standard electron mass.
Homework Equations
En = n2h2/(8mL2)
E = hf
f = c/λ
The Attempt at a Solution
E1 =...
Homework Statement
If a wave y(x, t) = (6.0 mm) sin(kx + (600 rad/s)t + θ) travels along a string, how much time does any given point on the string take to move between displacements y=+2.0 mm and y=-2.0 mm?
Homework Equations
ω=2πf (but it's not necessary in this problem, this problem just...
I've been reading up on electron diffraction for electron microscopy, and I have been trying to understand the proof for the wavelength of an electron in a tunneling electron microscope. The proof I have been trying to emulate begins as follows:
It then says that I must account for...
The wavelength is inversely proportional to the foton energy. So, the limit can be stated by the mass of the full universe.
But how much near that limit can the light be?
I work in a factory where we package pharmaceuticals. There are quiet a few products that are light sensitive to a certain wavelength. The lights in the older buildings are fluorescent and were have defined wavelength specification. The wavelength determined the color light/filters set in the...
Homework Statement
A student collects diffraction data using a lamp with known emission wavelengths of 425nm, 565nm, 600nm, and 700nm. These lines appeared on her spectroscope at 32mm, 59mm, 63mm, and 69mm(all measured from the same arbitrary 0mm position). With these data she is able to...
Homework Statement
A source of sound frequency 550 Hz emits waves of wavelength 600 mm in air at 20 °C. What is the velocity of sound in air at this temperature? What would be the wavelength of the sound from this source in air at 0 °C?
Answers: 330 m s-1, 579 mm
2. The attempt at a solution...
Homework Statement
The line spectrum of a certain substance consists of three prominent lines; blue (B), yellow (Y) and red (R). When the spectrum is examined with a diffraction grating having d = 4 * 10-6 m, it is found that the sequence of lines, moving from the centre, is B, Y, R, B, Y, B...
Homework Statement
The binding energy of an electron to a metal surface is (3.90x10^2) kJ/mol. What is the threshold wavelength (in nm)for the onset of the photoelectric effect?
Homework EquationsThe Attempt at a Solution
work function= 3.9*10^2 kj/mol=6.476103179*10^-19j
I know I have to...
Homework Statement
Light intensity is measured by monochromator and is given by I(\lambda ) = I_{0}\lambda ^{3} How to change it to the energy scale I(h\nu ) = ?
Homework Equations
Photons energy E = h\nu, E =\frac{hc}{\lambda }
The Attempt at a Solution
It's kind of strange to relate...
Homework Statement
Ultrasonic waves of frequency 3 x 10^5 Hz are passing through a medium where speed I found is 10 times that in air ( speed of sound in air is 300m/s). The wavelength of this wave in the medium will be in the order of?
Homework Equations
Wavelength = wave speed/...
Homework Statement
In the earliest circular planetary model of the atom the electron and proton orbited a common centre. The electrostatic forces alone provided the force field. However an accelerating charged body will send out electromagnetic waves and the orbiting charges would consequently...
Consider an object of mass 1kg moving with a speed of 1m/s. Theoretically , the de broglie wavelength associated with it is about 3.6x10-37. Now if we calculate the energy associated with this wave it comes out to be 3x1011. This is a huge amount of energy which could be very hazardous but it is...
We were going over the basics of the photoelectric effect today in my solid state chemistry class when my instructor gave us a question asking what the wavelength of an ejected electron was. We worked through the question and got the answer, but that got me thinking.
If the wavelength is...