An electron and an alpha particle (a helium-4 nucleus) each have the same non-relativistic speed. Which has the greatest kinetic energy, and which has the shortest de Broglie wavelength? Group of answer choices
the electron, the electron
the alpha particle, the electron
the electron, the alpha particle
the alpha particle, the alpha particle
An electron and an alpha particle (a helium-4 nucleus) each have the same non-relativistic speed. Which...
For what kinetic energy of a relativistic electron that is treated non-relativistically, the error in calculating the de Broglie wavelength is 1%? Give your answer in keV.
If the De Broglie wavelength of an electron is equal to 400 nm calculate the velocity of the electron. Assume that the electron's speed is non-relativistic. Answer: 1832.42 m/s If the kinetic energy of an electron is 400 eV, calculate its De Broglie wavelength. For this non-relativistic electron you must first calculate its velocity from the general kinetic energy equation. Then you can find the De Broglie wavelength of the electron. I cannot figure out the second part, please explain!
Alpha decay is nuclear decay in which a helium nucleus is emitted. If the helium nucleus has a mass of 6.646 ✕ 10-27 kg and is given 7.00 MeV of kinetic energy, what is its velocity? Answer: _________ c
If an electron, a soccer ball, and a proton all have the same momentum, which has the shortest de Broglie wavelength? soccer ball electron proton all have the same wavelength It depends on the energy of the electron. What is de Broglie wavelength of a proton traveling with a speed of 3.25 × 106 m/s if its mass is mp = 1.67 × 10–27 kg A. 1.22 * 10-13 m B. 0.763 x 106 m C. 3.41 x 10-9 m...
Consider electrons of kinetic energy 5.29 eV and 529 keV. For each electron, find the de Broglie wavelength (in nm), particle speed (in m/s), phase velocity (speed, in m/s), and group velocity (speed, in m/s). nm 5.29 eV electron de Broglie wavelength particle speed phase velocity group velocity m/s m/s m/s 529 keV electron nm de Broglie wavelength particle speed phase velocity group velocity m/s m/s m/s
Please show all equations and work An alpha particle (nucleus of a helium atom) has a speed of 3x10^6 m/s and moves in a circle of radius 10 cm in the x/y-plane due to a uniform magnetic field. (a) What is the magnitude and direction of the magnetic field? (b) What is the cyclotron frequency of the alpha particle? (c) Through what potential difference was it accelerated? (d) What is its energy in units of electron-volts?
Problem 10.23 An alpha particle (a helium nucleus, containing 2 protons and 2 neutrons) starts out with kinetic energy of 9.9 MeV (9.9 x 100 eV), and heads in the +x direction straight toward a gold nucleus (containing 79 protons and 118 neutrons). The particles are initially far apart, and the gold nucleus is initially at rest. Answer the following questions about the collision. What is the initial momentum of the alpha particle? (You may assume its speed is small...
An alpha particle (the nucleus of a helium atom) consists of two protons and two neutrons, and has a mass of 6.64×10−27kg. A horizontal beam of alpha particles is injected with a speed of 1.3×105m/s into a region with a vertical magnetic field of magnitude 0.180 T . A) How long does it take for an alpha particle to move halfway through a complete circle? B) If the speed of the alpha particle is doubled, does the time found in...
An alpha particle is a nucleus of helium. It has twice the charge and four times the mass of the proton. When they were very far away from each other, but headed toward directly each other, a proton and an alpha particle each had an initial speed of 8.2×10−3 c, where c is the speed of light. What is their distance of closest approach? There are two conserved quantities. Make use of both of them. (c = 3.00 × 108...
Chapter 29, Problem 53 An electron and a proton have the same kinetic energy and are moving at speeds much less than the speed of light. Determine the ratio of the de Broglie wavelength of the electron to that of the proton Nurnber Units