To find this answer you will have to go through a series of formulas. The first formula you will need to use is the kinetic energy formula (K.E.=1/2mv^2). The mass of an electron is found to be 9.11 x 10^-31. You then divide the mass by two (or multiply by 0.5) and get 4.555 x 10^-31, you will then have to multiply it by your velocity squared, and get your energy in joules. With that energy, you divide by planks constant (6.6 x 10^-34) which eaves you with your frequency. With that very frequency you get the speed of light in air (3 x 10^8) and divide by your frequency which will give you the wavelength needed in meters
It is electron since wavelength = h/(mv), and since proton's mass > electron's mass, electron's wavelength is longer.
The DeBroglie wavelength of an electron with 1 eV KE and rest mass energy 0.511 MeV is 1.23 nm. This is around a thousand times smaller than a 1 eV photon. To find the DeBroglie wavelength of an electron, simply divide Planck's constant by the momentum of the electron.
The emission wavelength equation used to calculate the specific wavelength of light emitted by a substance is c / , where represents the wavelength, c is the speed of light in a vacuum, and is the frequency of the light emitted.
In chemistry, the wavelength can be determined using the equation: wavelength speed of light / frequency. The speed of light is a constant value (3.00 x 108 m/s) and the frequency can be measured using a spectrometer or other analytical instruments. By plugging in these values into the equation, one can calculate the wavelength of a given electromagnetic wave.
The speed of an electron in a vacuum is approximately 2.2 million meters per second.
It is electron since wavelength = h/(mv), and since proton's mass > electron's mass, electron's wavelength is longer.
4.2*10-11
To find the speed of an electron with a wavelength of 0.1nm, you can use the de Broglie wavelength formula: λ = h / mv, where λ = wavelength, h = Planck's constant, m = mass of electron, and v = speed of electron. Rearranging the formula to solve for v, we get v = h / (mλ). Plugging in the values (h = 6.63 x 10^-34 J·s, m = 9.11 x 10^-31 kg, and λ = 0.1 x 10^-9 m), you can calculate the speed.
To find the final de Broglie wavelength, you can use the equation λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum of the electron. The momentum can be calculated as p = √(2mE), where m is the mass of the electron and E is the kinetic energy acquired from the potential difference. Find the final speed of the electron using the equation v = √(2eV/m), where e is the elementary charge. Finally, use the speed to calculate the final momentum and plug it into the de Broglie wavelength formula.
Assuming you mean that the velocity is 1/9th the speed of light then you need to use the de Broglie equation for the wavelength of a particle, which says that the wavelength is equal to Planck's constant divided by the momentum. Thus, λ = h / p = h / (m*v) = h/(m*1/9*c) = 9*h/(m*c) where λ=wavelength, h=Planck's constant, p=momentum, m=mass of the electron, v=velocity, and c=speed of light this gives λ = 9 * 6.626*10^-34 / (9.109*10^-31 * 3.00*10^8) = 2.18*10^-11 meters
The characteristic wavelength of an electron accelerated through a potential field can be calculated using the de Broglie wavelength formula: λ = h / p, where h is the Planck constant and p is the momentum of the electron. Given the speed of the electron, momentum can be calculated as p = m*v, where m is the mass of the electron. Once the momentum is determined, the wavelength can be calculated.
Speed of electron as compared to speed of light is: n = 15% c = 299792458 [m/s] v = c*n/100 = 4.5 *10^7 [m/s] So corresponding wavelength as given by the de Broglie equation: h - Planck's constant, m0 - the mass of the electron at zero velocity; lambda = h/p = h/(v*m0) = 6.62606876*10^-34/(4.5 *10^7*9.10938188*10^-31) = 1.61642*10^-11 [m] = 0.16 [angstroms]
The wavelength of an electron is inversely proportional to its speed and directly proportional to its mass. This means that as the speed of an electron increases, its wavelength decreases, and as the mass of an electron increases, its wavelength also increases.
The de Broglie wavelength of a photon remains constant as its velocity increases because a photon always travels at the speed of light in a vacuum. The wavelength of light is determined by its frequency according to the equation λ = c / f.
The de Broglie wavelength of an atom at absolute temperature T K can be calculated using the formula λ = h / (mv), where h is Planck's constant, m is the mass of the atom, and v is the velocity of the atom. At higher temperatures, the velocity of atoms increases, leading to a shorter de Broglie wavelength.
No, they don't have de-broglie wavelength since this concept is valid for substances having some mass. This concept is mainly used to calculate the wavelength of electrons. The photons are just energy packets and they are not matter and don't have weight. Therefore, they don't have de-broglie wavelength
The DeBroglie wavelength of an electron with 1 eV KE and rest mass energy 0.511 MeV is 1.23 nm. This is around a thousand times smaller than a 1 eV photon. To find the DeBroglie wavelength of an electron, simply divide Planck's constant by the momentum of the electron.