Radius of an atomic nucleus is of the order 2.2 fm. What is the minimum energy that an electron should have to be found inside the atomic nucleus? Is this possible in reality? Explain.
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Radius of an atomic nucleus is of the order 2.2 fm. What is the minimum energy that an electron should have to be found inside the atomic nucleus?
Is this possible in reality? Explain.
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- 4. A beam of thermal neutrons emerges from a nuclear reactor and is incident on a crystal as shown in the figure below. The beam is Bragg scattered from a crystal whose planes are separated by 0.247 nm. Fro the continuous energy spectrum of the beam we wish to select neutrons of energy 0.0105 eV. Find the Bragg scattering angle that results in a beam of this energy. Will other energies also be present in the scattered beam at that angle? Shielding - Graphite Neutron beam Reactor Scattering crystalBy using the principle of accuracy, he proved the impossibility of the electron being inside the nucleus, given that the radius of the nucleus is 1 x 10-14m.Suppose that the uncertainty in position of an electron is equal to the radius of the n=1n=1 Bohr orbit, about 0.529×10−10m0.529×10−10m. A) Calculate the minimum uncertainty in the corresponding momentum component. Express your answer in kilogram meters per second. B) Compare this with the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit. Compare this with the magnitude of the momentum of the electron in the Bohr orbit. a) This is greater than the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit. b) This is the same as the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit. c) This is less than the magnitude of the momentum of the electron in the n=1n=1 Bohr orbit.
- In a Rutherford scattering experiment, an a-particle (charge = +2e) heads directly toward a gold nucleus (charge = +79e). The α-particle had a kinetic energy of 5.0 MeV when very far (r→ ∞) from the nucleus. Assuming the gold nucleus to be fixed in space, determine the distance of closest approach. Hint: Use conservation of energy with PE =kq1q2/r.2. Protons with energy 1.0MeV scatter off a fixed spherical potential whose range is known to be a = 10-¹3 cm. The total elastic scattering cross section o and the differential cross section do/d are measured to a precision of about one percent. (a) Assuming that the energy is not near any resonance of the potential, show that the only phase shifts that can be reliably determined from the data are do and 6₁. (b) Given the experimental value o = = (10.5 ± 0.1) × 10-26 cm² and the values for do/dn listed in the table (one percent accuracy), determine do and 8₁. (Do not worry about the errors in your values for do or $₁. (deg) | dold_2 (10-26 cm²) O 1.232 45 90 135 180 1.103 0.823 0.585 0.4993. A beam of protons, each with energy E = 20 MeV, falls on a potential step of 40 MeV. Graph the probability of finding protons at values of x> 0, for x = 0 at x = 5 fm (Assume | A|^2 = 1).
- A green light wavelength = 530 nm shines on a metal. It is determined that the stopping potential is 1.5V. a. calculate the binding energy of the metal. b. calculate the max speed of an ejected electron. c. calculate the minimum frequency of light that would expel electrons from the metal.17. Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube. K-shell electrons of tungsten have 72.5 keV energy. X-rays emitted by the tube contain only (a) a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of = 0.155 A (b) a continuous X-ray spectrum (Bremsstrahlung) with all wavelengths. 3 (c) the characteristic X-ray spectrum of tungsten. (d) a continuous X-ray spectrum (Bremsstrahlung) with a.. minimum wavelength of 0.155A and the characteristic X-ray spectrum of tungsten. CY23
- The so-called Lyman-? photon is the lowest energy photon in the Lyman series of hydrogen and results from an electron transitioning from the n = 2 to the n = 1 energy level. Determine the energy in eV, in joules, and the wavelength in nm of the Lyman-? line. (a) the energy in eV eV(b) the energy in joules J(c) the wavelength in nm nm3. An electron moves in x direction with a speed of 3.6 Million m/s. We can measure its speed to a precision of 1%. With what precision can we simultaneously measure its x coordinate? 1.6 Million meter 3.2 nm 32 pm 1.6 nm None of the answersCalculate the de Broglie wavelength (in fm) of a 5.8 MeV a particle emitted from an atomic nucleus whose diameter is approximately 1.6 × 10¯14, fm Calculate its minimum kinetic energy (in keV) according to the uncertainty principle. keV Could this particle exist inside the nucleus? Yes No Explain. m.