Wavelength Definition and 1000 Threads

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...

Why does penetration increase with decrease in wavelength?

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...

the speed of sound in air is 330ms^-1 , speed of light is 3 x10^8 ms^-1... what's the frequency of radio waves of wavelength 100mm ?

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...

Are photon wavelengths quantizised? If so, what are their possible wavelengths? Do their possible wavelengths also depend on the system they are in?

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?

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...

Homework Statement -Electron has 3.00 MeV (or 4.8*10^-13 Joules) -it's relativistic -finding λ. Homework Equations h=6.63*10^-34 λ=h/p (obviously) And I'm not sure if they're needed, but the relativistic eq's are: KE = mc^2/sqrt(1-(v/c)^2) p = mv/sqrt(1-(v/c)^2)...

Wavelength of an electron Homework Statement -Electron has 3.00 MeV (or 4.8*10^-13 Joules) -it's relativistic -finding λ. Homework Equations h=6.63*10^-34 λ=h/p (obviously) And I'm not sure if they're needed, but the relativistic eq's are: KE = mc^2/sqrt(1-(v/c)^2)...

Homework Statement an electron is moving at 2.5 x 105m/s. Find the electron's De Broglie Wavelength. Homework Equations De Broglie relates wavelength of electron waves to momentum of the electron by lambda = h/p where h is Planck's constant. The Attempt at a Solution given the...

One radio station in the middle of the FM band has a frequency of 95.0 MHz. What is its wavelength? lambda=v/f I assume that the velocity of the wave is 343 m/s. I convert 95MHz to Hz, which is 95,000,000 Hz. lambda=(343 m/s) / 95,000,000 Hz. I come up with 3.51e-6. Webassign...

If a single photon has a wavelength, would it violate Heisenberg Uncertainty principle? Since photon is a particle, that means it can be represented by a wave packet. But wave packet can not have definite wavelength, only pure wave can have wavelength

Homework Statement An alpha particle of energy 5.78 MeV is emitted from a particular nucleus. Calculate the de Broglie wavelength of the alpha particle. How does it compare with the nuclear diameter, which is known to be approximately 2x10−14 m. Homework Equations E=h/p and E=hf...

Homework Statement Consider a 4.00 p to 4.00 s transition in sodium. What is its wavelength Homework Equations The Attempt at a Solution

here's the question: 'Darwin is a proposed space mission to detect thermal radiation from Earth-like planets. Estimate the best wavelength for carrying out observations with Darwin.' i'm guessing we need to use wien's law(from an earlier part of the question), and so we need the absolute...

Homework Statement Suppose the interference pattern shown in the figure is produced by monochromatic light passing through two slits, with a separation of 127 µm, and onto a screen 1.14 m away. What is the wavelength? Homework Equations wavelength = (dsin\theta) / m y=Ltan\theta...

I may be mixing things up terribly, but since the energy of a photon (or any particle for that matter) is related to its frequency, does a single photon have an associated wavelength and energy, or do those terms make sense only when considering a stream of particles?

Are there ways to change the wavelength of an EM wave while still preserving all geometry of the wave (for instance, preserving an interference pattern which has, of course, irregular geometry in between the minima and maxima of the wave)? I've heard some crystals can change the wavelength but...

Homework Statement Calculate the wavelength of a photon having the same momentum as an electron moving at 1.0  106 m/s. The answer is supposed to be 0.73 nm. Homework Equations Ek = (m*v^2)/2 Ek = hf - W p = E/c = hf/c = h/\lambda The Attempt at a Solution I first found Ek using...

Homework Statement What was the significance of the de Broglie equation? Homework Equations p = h/λ p = mv The Attempt at a Solution It says that not only do waves act as particles, transferring energy and momentum to matter only at localised points, but moving particles (e.g...

1. Is a 4p -> 4s transition allowed in sodium? If so, what is the wavelength? If not, why not? (Z = 11 for sodium) 2. \Deltal = |l2 - l1| = 1 That is for the first question, in which case it is allowed, hence |0-1| = |-1| = 1, and meets the requirements for the equation. The second...

Homework Statement When 2 glass plates form an air wedge with a fine wire at one end, why don't we convert the given wavelength in air of light into the wavelength in glass since we have to convert it when it is entering in water?? Thanks Homework Equations The Attempt at a Solution

I have worked on this problem for about an hour, looked through the book lots of times, and honestly just don't know how to get it done. So I am here with all you fellow physicists for help! :) Homework Statement X rays bombarding heavy atoms can be used to eject electrons from the 1s shell...

Homework Statement Light of wavelength 640 nm in water illuminates a glass (n = 1.5) wedge submerged in water (n = 1.33). If the distance between successive bright fringes is 6 mm. Homework Equations The Attempt at a Solution I have a lot of trouble trying to convert the...

EDIT: title should be Is colour dependent on wavelength or frequency Okay, and so here is the question in my mind. We all know (or at least taught) that when light enters an optically denser medium, it slows down and its wavelength shortens. Frequency, however, remains the same. Going by the...

I've been told that longer wavelengths are able to diffract more than short wavelengths. The hyperphysics page on sound wave diffraction also states this fact. Nothing I've read have explained why exactly longer wavelengths are able to diffract more than shorter wavelengths, so that's my...

Homework Statement The potential-energy function U(x) has the constant value U_0 in the interval 0 < x < L and is zero outside this interval. An electron is moving past this square barrier, but the energy of the electron is greater than the barrier height. If E= 6 U_0, what is the ratio...

Homework Statement By Wien's we can determine that the max wavelength radiated by the sun is around 500 nm. How does this compare to the apparent color of the sun? Attempt to explain this discrepancy. Homework Equations lambda_max*T=2.9x10^-3 The Attempt at a Solution I said...

Homework Statement In Fig. 17-35, sound with a 15.6 cm wavelength travels rightward from a source and through a tube that consists of a straight portion and a half-circle. Part of the sound wave travels through the half-circle and then rejoins the rest of the wave, which goes directly...

Homework Statement An FM station broadcasts at 107.5 MHz. What is the wavelength of this wave? Homework Equations well i know that speed = frequency X wavelenght but if i don't know the speed then how can i find the length The Attempt at a Solution so i found out that the average...