What would be the principal quantum number (n) if a particle in the scenario of five non-interacting particles of mass m are in a one-dimensional box of length L. part a) Spin -1/2 part b) Spin -1

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 0.499

Electrons in a hydrogen atom are in a 3p excitation state transitioning    radiative to energy level 2s. Taking into account the spin orbital interaction, determine : i) What is a spin orbit interaction?ii) Show the separation of 3p and 2s energy levels in the energy level diagramwithout an external magnetic field Biii) Show the separation of 3p and 2s energy levels in the energy level diagram due to the presence of an external magnetic field Biv) State the allowed transition conditionsv) Energy emitted when in space without a magnetic fieldvi) Energy emitted if it is in a space with a magnetic field B = 1Tplease solve part i

What is the radius of the 3rd orbital in hydrogen? [?] × 10 [²] X m