An electron initially at rest is accelerated across a potential difference of 8 kV. What are its wavelength, momentum, kinetic energy, and total energy? 13.8 ✔ pm 90.68 ✔keV/c ✔keV (kinetic) XkeV (total) 518
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- An alpha particle is made up of two neutrons and two protons in a bound state. Consider a stationary alpha particle a distance d=5.5nm from a neutral hydrogen atom. 1. What is the force between the alpha particle and the hydrogen atom? 2. What is the strength of the force between the alpha particle and the hydrogen atom? 3. The energy needed to ionize the hydrogen atom is U=2.179x10^-18J. What is the closest the hydrogen atom can get to the alpha particle?An incoming light beam has frequency 9.7 x 1014 Hz. (Use h= 6.626 x 10-34 J.s) a. How much energy in Joules does it have?b. If the photons of this light beam are absorbed by a free electron, how much kinetic energy and speed will the free electron have?A neutron of mass 1.675 × 10-27 kg has a de Broglie wavelength of 7.8x10-12 m. What is the kinetic energy (in eV) of this non-relativistic neutron? Please give your answer with two decimal places. 1 eV = 1.60 × 10-19 J, h = 6.626 × 10-34 J ∙ s.
- 3. The equation 1.45 in our textbook says that the de Broglie wavelength as a function of temperature is given by 1 Assuming the accepted accuracy for h, R, and m are very high, what is the V3MRT maximum uncertainty in the de Broglie wavelength if AT is the uncertainty in temperature?How rapidly would each of the following particles be moving if they all had the same wavelength as a photon of red light (wavelength = 750 nm)?a. An electron of mass 9.10939 x 10^-28 g?b. A proton of mas 1.67262 x 10^-24 gc. A neutron of mass 1.67493 x 10^-24 gd. An alpha particle of mass 6.64 x 10^-24 g Please don't provide handwriting solution2. Solve the de Broglie wavelength of: a. a tennis ball of mass 57 g traveling 25 m/s b. an electron with kinetic energy 50 eV. 3. Find the de Broglie wavelength of a 1.00-MeV proton. Is a relativistic calculation needed?
- Gamma rays (?-rays) are high-energy photons. In a certain nuclear reaction, a ?-ray of energy 0.836 MeV (million electronvolts) is produced. Compute the frequency of such a photon. How do I enter 2.02*10^20 in the answer window?An electron has a total energy of 5 MeV. a. Find its momentum in units of MeV/c. and what is the Beta value, if you are able to find it? if not, don't worry about it. Thanks!4. In Section 1.3 we used dimensional analysis to show that the size of a hydrogen atom can be understood by assuming that the electron in the atom is wave-like and non-relativistic. In this problem we show that, if we assume the electron in the atom is a classical electron described by the theory of relativity, dimensional analysis gives an atomic size which is four orders of magnitude too small. Consider a relativistic, classical theory of an electron moving in the Coulomb potential of a proton. Such a theory only involves three physical constants: m, /4mc9, and e, the maximum velocity in relativity. Show that it is possible to construct a length from these three physical constants, but show that it too small to characterize the size of the atom.