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.
Homework Statement
A sound wave has a frequency of 722 hz and a wavelength of .54 m. What is the temperature of the air? Assume the velocity of sound at 0 degrees Celsius is 327 m/s.
Homework Equations
V= lambda * frequency
The Attempt at a Solution
I have no idea what to from...
Czes discussion re Compton wavelength and new Smolin paper
These are posts from the bibliography thread (which has enough to do just listing the new papers, without discussing them :biggrin:)
Homework Statement
For a particular Dieletric it is observed that over a range of frequencies, the group velocity varies exponetinally with wave number:
v_{g}=ae^{bk} , where a,b are constants. *(PLease not that the superscript g on v on the LHS side is meant to be subscript, however it...
Homework Statement
Speed of an ocean wave depends on the wavelength \lambda in meters and
gravitational field. (see equation below). Find values of P and Q. K is a constant and has no dimensions
Homework Equations
V = K\lambdaPgQ
The Attempt at a Solution
V=velocity, which is...
Hi there,
Is it possible if an object were to hypothetically gain enough momentum such that its de Broglie wavelength is equivalent to, say, some light in the visible spectrum, that the object would emit light?
Thanks!
Homework Statement
I have a question relating to the interference at a single frequency? Does this statement mean that the intereference has occurred between two waves which are completely in phase? I also have a question regarding if two waves which are not in phase but do not cause...
if de Broglie's equation: wavelength = h/(mv) works allways, then what is the wavelength of an object at rest (v=0) is it undefined or infinity or something?
hi everybody
In sound waves or EM waves ..
What do we mean by saying 'wavelength' ! physically
I mean ,
Is that related to the size of the photon for example ( In EM ) ?
Help me to understand
I have to find matter wavelength and indeterminate of location and energy for hydrogen particle which is in gas with konwn p, V, T
I'm sorry for my english skills:P
pressure will be p_{g}
\lambda = \frac{h}{p}
p = mv
v = \sqrt{\frac{3p_{g}}{\varrho}}
\varrho = \frac{n\mu}{V}...
Homework Statement
i'm doing a lab and i have a chart which requires me to find the wavelength. The chart looks like this:
Frequency(f) Period (T) Length (l) Wavelength (lambda)
512 ? .15...
Homework Statement
What is the frequency (in Hz) of infared radiation that has a wavelength of 160.432 micrometers? The speed of light is 3.00 x 108 m/s.
Homework Equations
Speed of light = wavelength x frequency
Speed of light = 3.00 x 10^8 m/s
The Attempt at a Solution
I know that the...
A standing wave is set up in a 200 cm string fixed at both ends. The string vibrates in 5 distinct segments when driven by a 120 Hz source. What is the wavelength?
* 10 cm
* 20 cm
* 40 cm
* 80 cm
I need some help with this problem. I can't seem to find anything with an equation or any...
A sound wave in air has a frequency of 500 Hz and a wavelength of .68 m. What is the air temperature?
* -18 degrees C
* 0 degrees C
* 15 degrees C
* 27 degrees CI can't find an equation for this, and I don't know how to solve it. Anyone know anything about this? Please help me. Thanks.
What is happening to a ray of light of a certain wavelength that passes through a transparent dielectric medium?
Ex: Green light enters in a Bose–Einstein condensate, and slows down some. Than the light is coming out of the medium in free space. What will be the speed of the ray light and...
Homework Statement
I am to calculated the wavelength of the laser I shone through different slit patterns to create diffraction patters on a screen.
For the single slit diffraction,
Data:
xm is the distance from the central image to the mth minimum.
x1 0.008
x2 0.015
x3 0.023
x4...
Hi, I'm studying the wave nature of particles.
My book says that the de broglie wavelength of an electron is h / momentum, or h / (mv).
I also have that E = hf = momentum2/(2m) = 1/2 mv2.
I know that for a photon the frequency is speed of light / wavelength.
I'm wondering why the...
Homework Statement
Find the frequencies and wavelengths (in air) of these notes.
A(440.0 Hz)
C(523.3 Hz)
the given frequencies are not the answers
Homework Equations
velocity=frequency*wavelength
The Attempt at a Solution
343m/s=440Hz/wavelength
wavelength=.780 m
this isn't...
Homework Statement
Red light with wavelength of 700 nm is passed through a two slit apparatus. At the same time, monochromatic visible light with another wavelength passed through the same apparatus. As a result most of the pattern that appears on the screen is a mixture of two colors...
Homework Statement
A sound source is moving at 80 m/s toward a stationary listener that is standing in still air. The source emits sound at a frequency of 200Hz. Assume that the sound travels at still air at 343 m/s.
1. The wavelength of the sound in the region between the source and the...
Homework Statement
Bλ(T) = β Bν(T) / λ2
v = frequency
λ = wavelength
find β , if Bλ(T) is in units Watt/m2/μm while Bν(T) is in units Jy (= 10−26 Watt/m2/Hz)
Homework Equations
The Attempt at a Solution
I know that first of all Bλ(T) = Bν(T) * |dv/dλ| = Bv(T) * c / λ^2
so...
Homework Statement
the wavelength of the probing beam must be approximately the same as the size of objects we want to resolve. For each of the accelerators described below, determine the smallest size objects that are resolvable and name an object roughly that small, remembering that these...
I'm looking at the equations E=h\nu and \lambda=h/p and trying to determine the relationship between E and \lambda. What I'm coming up with is E=\lambda\nup, which simplifies to E=cp. This doesn't quite make sense to me though, is there a mistake, or should I just look more into the units of...
Just a quick concept check.
I was asked that as light travels between two media, what happens to its frequency, wavelength and velocity.
I want to say that the frequency remains the same while the velocity and wavelength change, based on the difference of the index of refraction between...
Homework Statement
Calculate the wavelength, in picometers, associated with an electron traveling 60.0% of the speed of light.
Homework Equations
Wavelength = h / (mv)
The Attempt at a Solution
I know the h value.
The v value I believe it is 60.0% of 3.00 x 10^8
But what is the m value...
1) In a double-slit experiment, two parallel slits are illuminated first by light of wavelength 460nm, and then by light of unknown wavelength. The third-order (m = 3) dark fringe resulting from the known wavelength of light falls in the same place on the screen as the second-order (m = 2)...
Homework Statement
Find Wavelength and Velocity of an Ocean Wave.
Known Variables:
Water Depth=300m
Frequency=8secs
Amplitude=3m
Homework Equations
Wavelength (m) X Frequency (s-1) = velocity (m/s)
v=velocity
The Attempt at a Solution
I have 2 missing variables for both...
Homework Statement
In a television, an electron is accelerated through a potential difference of 30,000 V. What is the minimum wavelength produced.
Homework Equations
E = qv
E = hf
The Attempt at a Solution
I figured that we should first find total energy.
E = qv => E = (1 x...
Homework Statement
Use the Bohr theory to find the series wavelength limits of the Lyman and Paschen series of hydrogen.
Homework Equations
\lambda=\lambdalimit(n2)/(n2-n02)
Lyman: n0=1
Paschen: n0=3
The Attempt at a Solution
The solutions are 91.13 nm (Lyman) and 820.1 nm...
This is not a specific question; I'm just unclear about a concept.
Homework Statement
Given the kinetic energy of an electron emitted, how would you find the wavelength?
Homework Equations
E=h*frequency
or
E=0.5mv2
The Attempt at a Solution
I'm thinking I would use the...
Homework Statement
How should the variables ( l and T) be plotted to obtain k from the slope of a linear graph? Identify (write out) the constants correstponding to the slope and intercept of the linear graph.
Homework Equations
l = lambda
l = (k/f)*(T/u)^0.5
The Attempt at a...
Homework Statement
Assume electrons are accelerated through a potential difference of 20000 V inside a TV picture tube. What is the minimum wavelength that could be produced when the electrons strike the phosphor?
Homework Equations
W = qV
The Attempt at a Solution
I use the...
Problem:
Suppose a spacecraft is in a circular orbit about a distant planet. The spacecraft emits a continuous radio signal with a wavelength of 6 m. You observe the signal's wavelength to vary between 5:99969 m and 6:00031 m; the period of variation (i.e., the full period of the signal) is...
Homework Statement
The frequency of red light is 430THz calculate its wave length. Is the answer below correct?
Homework Equations
(3*10^8) / (430*10^12) = wave length
The Attempt at a Solution
(3*10^8) / (430*10^12) = 6.98 to 1 Decimal Place
It seems like if you accelerated a massive particle to a high enough velocity (momentum), you could get it's wavelength to be less than the Planck Length. Does that make sense? As always, thanks in advance.
Can anyone tell me how is wavelength defined for a wave associated with a particle?
If the wave function we are speaking of has no physical significance,then how can measure its length?
tks for any rpl
Homework Statement
56. What wavelength of photons are needed to produce 30 keV electrons in a compton scattering?
Homework Equations
E=\frac{hc}{\lambda}
The Attempt at a Solution
This question throws me off because I was under the impression that compton scattering didn't produce...
Hi
I have this question for sometime, and until i found a recent post here
on this forum (wavelength and aperture) i thought i was the only person
who just plain didn't get it.
My questions arises firstly when i consider antennae and as roughly quote from
the many texts i have read "to...
OK so you get to the matter wave equation 'lambda = h / p' using E=cp - which describes the energy for massless particles. I can understand this holding for when cp>>mc^2 , but not for when the mc^2 is comparible. Any help?
Hi,
I have a question regarding the Electron scattering angel Teta in formula in:
http://www.whfreeman.com/MODPHYSICS/PDF/3-2bw.pdf
which indicates Compton wavelength shift by:
labda2 - lamda1 = (h/mc)(1 - cos(Teta)). (3.40)
With Teta = 0 we get labda2 = lamda1 (no change of energy by the...
if an electron is accelerated by 2eV energy. then what will be the wavelength of emw produced? can we use E=hc/wavelength here? should we use always de broglie hypothesis for this? what will be the difference between wavelength of electron and wavelength of emw? are they same or not?
Homework Statement
It is known that a water wave in a lake produced by the pitching of a boat at anchor with a pitching period T propagates with a speed bT ( b > 0) if the lake is deep enough and the water is at rest. Assume that a boat moves at a slow constant speed Vo with a pitching period...
Why does the wavelength of light have to be longer (or shorter?) than a hole diameter to pass through the hole?
Also, is this phenomenon the same reason AM radio signals cannot be picked up as well FM radio signals when driving under an overpass?
lambda = h/mv
v -> 0 means lambda is -> infinite?
So if I have an old pickup truck that moves really slow, its matter wave is huge, right?? So it's now a wave and not a particle?
I was checking the NIST site with their Hydrocarbon line database
search utility, and the frequencies of the lines for CH, CH2, and CH4
are on the order of 10^11 Hz approximately. That leads to wavelengths
that are much larger than the visible region. Am I reading the search
results...
Homework Statement
What is the longest wavelength for standing waves on a 254.0 cm long string that is fixed at both ends?
Homework Equations
The Attempt at a Solution
When x = L (length of string):
k(n) = n*pi / L
wavelength (n) = n*pi / k(n)
I got the answer, I just...
Homework Statement
Two speakers connected to the same source of fixed frequency are placed 2m apart in a box.A sensitive microphone placed at a distance of 4m from their midpoint along the perpendicular bisector shows maximum response.
The box is slowly rotated until the speakers are in...