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.
I am trying to work out the real component of the wavelength of microwaves in copper. I am given n2=er=-i sigma/eo omega
where n is the refactive index
er is the relative permitivity
eo is the permitivity of free space
i = sqrt(-1)
omega is the frequency of the microwave
sigma is the...
Homework Statement
Microwaves of wavelength 2.80 cm fall on a slit and the central maximum at a distance of 1.0 m from the slit is found to have a half-width (i. e. distance from middle of central maximum to first minimum) of 0.67 m. Find the width of the slit.
Homework Statement
A extent ray of light with wavelength \lambda _0=632.8 nm incide over a screen containing 2 horizontal parallel slits very thin and separated by a distance of 0.2 mm. We observe an interferance over a screen at 1.00 meter away from the screen containing the horizontal...
Homework Statement
-a pipe closed at one end resonates with a turning fork at a length of 25cm. The next resonant length is 75cm. The air temperature is 11.6C. What is the wavelength of the sound produced by the turning fork.
Homework Equations
1st harmonic: lambda = 4 * L
3rd...
Why do the chlorophyll in land plants absorb primarily in the blue and red wavelengths, http://en.wikipedia.org/wiki/File:Solar_Spectrum.png" ? Isn't more energy available in 500nm green light vs 700nm red light? E =\frac{hc}{\lambda}
Homework Statement
(1) A sound wave is traveling through air medium, if the medium is replaced by water, how that will affect the wavelength, frequency and speed of the wave ?
(2) If the temperature of the air changed, how that will affect the wavelength, frequency and speed of the wave ...
When an EM wave goes into say a denser medium and its velocity is decreased how does its wavelength and frequency change? I read that the frequency remains constant but the wavelength changes. Is this true? If so does that mean the wave gets compressed when it enters a denser medium. Does the...
Homework Statement
At what wavelength does a 100mW laser deliver 3.5 x 1017 photons in one second?
h (plancks) = 6.626x 10^-34
c = 3 x 10^8
Homework Equations
E = hf ==> E = hc / n (wavelength) ==> n = hc / E
Power = Energy / Time
The Attempt at a Solution
Energy = Power *...
Homework Statement
How can you know "the difference between the two lasing energy levels?"
Homework Equations
n(lambda) = 2(pi)r
E = hf
mvr = n(h-bar)
The Attempt at a Solution
no clue
1. A monochromatic laser is exciting hydrogen atoms from the n = 2 state to the n = 5 state. What is the wavelength of the laser?
2. frequency = f = delta E / h
lambda = c/f
3. First, is the following approach valid:
I find delta E by computing E5 - E2, where En = n2h2/8mL2...
Is there a way to calculate the wavelength, frequency or energy (per photon) of the virtual photons that charges exchange to account for the Coulomb force? This is assuming that it's always the same wavelength, of course.
1. The magnetic field of an electromagnetic wave in a vacuum is B_z= ( 3.0 uT )*sin(( 1.00*107)x - omega*t) , where x is in m and t is in s.
What is the wavelength and frequency of this magnetic wave? What is the amplitude of the E field?
2. wavelength = 2pi/k
frequency = f = 1/T =...
Homework Statement
Young's fringes, produced by monochromatic laser light passing through slits 0.60mm apart, are viewed on a screen. The distance accrose 20 fringe spacings on the screen is 58mm. When the screen is moved 0.80m away from the slits, the distance across 20 fringe spacings...
Homework Statement
Young's fringes, produced by monochromatic laser light passing through slits 0.60mm apart, are viewed on a screen. The distance accrose 20 fringe spacings on the screen is 58mm. When the screen is moved 0.80m away from the slits, the distance across 20 fringe spacings...
Homework Statement
A double-slit interference pattern is observed on a screen 1.0m behind two slits placed on 0.3mm apart. Ten bright fringes span a distance of 1.65cm. What is the wavelength of the light?
Homework Equations
Since we're looking at bright fringes:
(m+1/2)\lambda =...
i have been working on this question for quite a while. no help on google, or my textbook at all.
A hydrogen atom in its ground state is excited to the n=5 level. It then makes a transition directly to the n=2 level before returning to the ground state.
A) What are the wavelengths of the...
Homework Statement
Light strikes a sodium surface, causing photoelectric emission. The stopping potential for the ejected electrons is 4.6 V, and the work function of sodium is 2.2 eV. What is the wavelength of the incident light?Homework Equations
The Attempt at a Solution
Problem solved...
Homework Statement
What is the de Broglie wavelength of a neutron whose kinetic energy is equal to the average kinetic energy of a gas of neutrons at temperature T = 17 K?
Homework Equations
lambda = h/p = h/mv.
The Attempt at a Solution
Well first I tried taking the h =...
[b]1. You perform an experiment with a long column of air and a tuning fork. The column of air is defined by a very long vertical plastic tube with a circular cross section; the upper end of the tube is open to the outside air and the lower end of the tube is filled with water. The column of air...
I did a lab today using this stuff. I need to learn how to find the wavelength of the 1st order of an unknown filament. My data is
600 lines/mm grating
Purple line
15 degrees 30 minutes, 15.5 degrees
using the equation of d sin (angle) = m (lambda)
im supposed to get something like...
Homework Statement
Two narrow slits are 0.4 mm apart. The dark fringe of order 5 is 1.2 degrees from the central bright fringe. What is the wavelength of the light in nm?
Homework Equations
dsin(theta) = (m +1/2)lambda
where d = distance between silts
m=order
lambda = wavelength...
Im attempting a problem in relativistic optics that's asking me to write k_x, k_y and k_z in terms of lambda, c, and theta (theta being the angle between a source and an observer, at rest relative to each other). Lamda is the wavelength in this reference frame. I started off using trigonometry...
Homework Statement
I have an issue for a question I have. The problem is that I need to find the distance between the slits of a diffraction grating. Normally this would be pretty simple, but I'm not given the wavelength of the light source we're supposed to use to find it out.
Homework...
Homework Statement
Earth has the mass 6 · 10^24 kg and the orbit radius r = 1.5 · 10^11 m.
(a) Compute its de Broglie wavelength. (b) Apply de Broglie quantization condition
as in the case of the Hydrogen atom and compute the quantum number n for the
orbit of Earth. (c) What is the...
Homework Statement
A narrow beam of collimated white light falls at normal incidence upon a transmission grating with 3150 lines per cm. A spectrum is formed by the grating on a screen 30 cm away. If a 1 cm square hole is cut in the screen its inner edge being 5 cm from the zeroth order...
Homework Statement
In an electrom microscope we wish to study paprticles of diameter about 0.10 µm (about 1000 times the size of a single atom).
What should be the de Broglie wavelength of the electrons?
Through what voltage should the electrons be accelerated to have that de Broglie...
Homework Statement
The diagram attached shows a metal wire stretched between two supports P and T which are 4x apart where PQ=QR=RS=ST=x . Three small pieces of paper are placed at positions Q , R and S . When the wire is vibrated at a certain frequency , the small piece of paper at R...
Homework Statement
a stationary sound wave has a series of nodes. The distance between the first and the sixth node is 30.0 cm. What is the wavelength of the sound waves?
Homework Equations
The Attempt at a Solution
well no idea about it
but in my attempt to solve it, i tried...
I'm trying to reproduce the plot in the attached figure. I know the band-gap energies, so I was hoping there was some simple way I could get the quantum efficiency as a function of wavelength. I read on wiki that Energy(eV) = 1240/wavelength(nm), so I mechanically plugged those in, and got...
Homework Statement
I have a revision booklet page for homework, however my mind has went totally blank as to how to work out these equations.
One question is "Jean is generating a wave by moving one end of the rope up and down 2 times every second (as shown in the diagram). Jean is 3m away...
Homework Statement
Find the de Broglie wavelength of an 8 MeV proton.
Homework Equations
y = h/p
where y is the wavelength
p = mv
K = Eo/sqrt(1-v^2/c^2)
where Eo is the rest mass and K is the kinetic energy
The Attempt at a Solution
I make the assumption that "an 8 MeV proton"...
Homework Statement
h/(mc) = ?
where m is the mass of an electron
Homework Equations
The Attempt at a Solution
h = 4.136*10^-15 eV*s
m = 0.511 MeV/c^2
c = 299792458 m/s
So m*c (as long as I remember to multiply by 10^6) gives units of eV/c
So h/(mc) gives units of s*c
Using...
Homework Statement
A small homemade firework goes off 3 meters about the surface of the water where a person is diving. The diver is 10 meters below the surface of the water.
(a). How much time passes from the instant the firework goes off until the diver sees it?
(b). How much time...
Hi all.
Just wondering. Any difference - from the viewpoint of a swimmer - when one swims in water waves of short wavelength as compared to large wavelength?
I read about this somewhere before in a newspaper article. The difference will be apparent when the length of the swimmer's body is...
Homework Statement
Hello, I'm a little confused. I did an experiment today with a Leslie Cube. One of the faces was a black paint, and another a white paint. I know that white reflects well and has a low emissivity, at least in the visual wavelengths. In the Leslie's cube, was hot water, so...
Hi I'm trying to sort this concept out in my head and have reached a stumbling block!
1. ok so light travels through medium a and transmits through medium b and refracts. The angle or refraction is given by snell's law, and quantified by the refractive index of materials a and b.
2. But I...
Homework Statement
A 120 cm-long steel string with a linear density of 1.2 g/m is under 100 N tension. It is plucked and vibrates at its fundamental frequency.
What is the wavelength of the sound wave that reaches your ear in a 20 \circC room?
Homework Equations
Fundamental...
Homework Statement
a) A microwave transmitter T and receiver R are placed side by side facing two sheets of material M (aluminium) and N (hardboard). A very small signal is registered by R; what can you deduce about the experimental set up?
b) When M is moved towards N a series of maxia and...
Homework Statement
A helium-neon laser beam has a wavelength in air of 633nm. It takes 1.38 ns for the light to travel through 30cm of an unknown liquid.
What is the wavelength of the laser beam in the liquid? (IN NM)
Homework Equations
v=wavelength*frequency
v= d/t
The Attempt...
What is photon wavelength?!
What is photon wavelength exactly?
I know that the energy of a photon is E = hc/lambda, where frequency = c/lambda and lambda is the wavelength. So, what determines the wavelength of a photon? Is it the distance an electron falls from the conduction band back down...
Recently, it has been found that Cl2 can be released to the atmosphere in the marine boundary layer through mechanisms that oxidize chloride (Cl-) in sea salt aerosol. The Cl2 is unreactive at night and can build up to significant levels. Upon sunrise, Cl2 will photolyze, releasing very reactive...
Homework Statement
Light of wavelength 411 nm is emitted from a hydrogen discharge. What transition produces this emission?
a. k = 5 to n =1
b. k = 4.5 to n = 2
c. k = 2 to n = 6
d. k = 2 to n = 3
e. k = 6 to n = 2
Homework Equations
R = (1/n^2 - 1/k^2)
The Attempt...
Why is the "bending" of waves related to wavelength?
Hi!
As stated in the title, my question concerns the "bending" of waves. (I'm quite sure that "bending" is not the proper term, so if you know the correct one, please tell me.)
Let's say that we investigate waves in a ripple tank. We create...
"when light enters from one medium to other its frequency remains same whereas wavelength changes."
i'm not able to understand this relation as frequency has a inverse relation to wavelength
please help me to understand it thoroughly.