An electron is moving at 6.0 x 10^6 m/s. A photon of what wavelength would have the same (relativistic) momentum as the electron?
Q: What is the wavelength of a photon that has the same momentum as an electron moving with a speed of…
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Q: A particle traveling with speed v has a de Broglie wavelength of A. What is its de Broglie…
A: Speed of the particle : v Wavelength of the particle with speed v : λ
Q: You illuminate a metal with light of wavelength 640 nm and find that the photoelectrons have a…
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Q: Electrons striking the back of a conventional TV screen travel at a speed of about 2.1 ✕ 107 m/s.…
A: Given data: Speed of electrons (v) = 2.1 × 107 m/s Required: De Broglie wavelength in nm
Q: A relativistic electron has a de Broglie wavelength of 2.45 pm2.45 pm (1 pm=10−12 m).(1 pm=10−12 m).…
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Q: A relativistic electron has a de Broglie wavelength of 2.45 pm (1 pm = 10-¹2 m). Determine its…
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Q: A photon with momentum 1.32×10-23 kg m/s² scatters off a free electron by an angle of 43 degrees.…
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Q: How fast does a proton have to be moving in order to have the same de Broglie wavelength as an…
A: The formula connecting the debroglie wavelength and the speed is given by equation (1) given that…
Q: The momentum of a photon O is proportional to its energy. O is independent of the frame of…
A: We know that the momentum(p) of photon is given as, , where λ denotes wavelength, h denotes Planck's…
Q: An electron and a photon each have a wavelength of 2.0. What are their (a) momenta and (b) total…
A: It is given that,
Q: An electron is accelerated from rest through a potential difference of 3.19 x 102 V. Determine the…
A: a) Write the work-energy theorem. W=KEf−KEiq(ΔV)=12mvf2−12mvi2 Here, q is the charge of an electron,…
Q: An electron accelerates through a potential difference of 50.0 kV in an x-ray tube. When the…
A: Given: The potential difference is V=50 kV. The percent of kinetic energy imparted due to striking…
Q: 26.(a) Derive a relativistically correct formula that gives the de Broglie wavelength of a charged…
A: a) When the charged particle is accelerated by potential V, the kinetic energy is equal to the…
Q: During a certain experiment, the de Broglie wavelength of an electron is 650 nm = 6.5 x 10-7 m,…
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Q: Determine the de Broglie wavelength of a particle of mass m and kinetic energy K. Do this for both…
A: Part(a) The formula to calculate the relativistic energy of the particle is, E=p2c2+m0c22 Here, E is…
Q: During a certain experiment, the de Broglie wavelength of an electron is 400 nm = 4.0 ✕ 10−7 m,…
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Q: What is the de Broglie wavelength of a particle with a momentum of 1.11 x
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Q: An electron has a non-relativistic speed of v=1.5 x 105 m/s. Determine: a) Its De Broglie wave…
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Q: (a) What is the de Broglie wavelength (in m) of a proton moving at a speed of 3.30 x 104 m/s? m (b)…
A: We have givena. speed of proton is 3.30 x 104 m/sb. speed of proton is 1.92 x 108 m/sc. Energy =…
Q: A photoelectron is produced from a bismuth surface (which has a work function of 4.31 eV) at a speed…
A: Step 1:Given:The work function of Bismuth: W=4.31eVThe speed of the ejected photoelectron:…
Q: De Broglie postulated that the relationship λ =h/p is valid for relativistic particles. What is the…
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Q: Problem 4: A photon originally traveling along the x axis, with wavelength λ = 0.100 nm is incident…
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Q: What is the wavelength of a photon that has the same momentum as an electron with a speed of 2.69…
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Q: An electron is accelerated from rest through a potential difference of 3.18 x 102 v. Determine the…
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Q: Find the de Broglie wavelength of an electron with a speed of 0.90c. Take relativistic effects into…
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- During a certain experiment, the de Broglie wavelength of an electron is 440 nm = 4.4 x 10-7 m, which is the same as the wavelength of violet light. How fast (in m/s) is the electron moving? m/sDuring a certain experiment, the de Broglie wavelength of an electron is 500 nm = 5.0 ✕ 10−7 m, which is the same as the wavelength of green light. How fast (in m/s) is the electron moving?De Broglie postulated that the relationship ? = h/p is valid for relativistic particles. What is the de Broglie wavelength for a (relativistic) electron having a kinetic energy of 3.18 MeV?
- A light source emitting radiation at 7.00 x 10¹4 Hz is incapable of ejecting photoelectrons from a certain metal. In an attempt to use this source to eject photoelectrons from the metal, the source is given a velocity toward the metal. b) When the speed of the light source is equal to 0.280c, photoelectrons just begin to be ejected from the metal. What is the work function of the metal?Louis de Broglie proposed that a particle of mass m and moving at the speed v will have a wavelength related to its momentum. Air molecules of mass 30 amu travel at speeds which you can take to be 500 ms-1. Calculate their de Broglie wavelength.The momentum of light, as it is for particles, is exactly reversed when a photon is reflected straight back from a mirror, assuming negligible recoil of the mirror. The change in momentum is twice the photon’s incident momentum, as it is for the particles. Suppose that a beam of light has an intensity I and falls on an area A of a mirror and reflects from it. Er = I A t p = 2 ( I A t )/c Use Newton’s second law to write an equation for the force on the mirror for time t. Use the variables along with c for the speed of light.
- A light source is emitting radiation at 7.63•1014 Hz is incapable of ejecting photoelectrons from a certain metal. However, if the source is given a velocity of 0.28 c towards the metal, photoelectrons just begin to be ejected. A) What is the work function of the metal ? B) Determine the stopping voltage if the source is instead moved at 0.57 c towards the metal ?X-ray photons of wavelength 0.0248 nm are incident on a target and the Compton-scattered photons are observed at 80.0° above the photons' incident line of travel. [Use relativistic units for this problem!](a) What is the momentum of the incident photons? eV/c(b) What is the momentum (magnitude and angle) of the scattered electrons? eV/c°magnitude=61802.35 angel=?What is the de Broglie wavelength for an electron with speed (a) v = 0.480c and (b) v = 0.960c?