(a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is ac/n, where a is the fine structure constant, equal to e/4neghc. (b) What would be the speed in a hydrogen like atom with a nuclear charge of Ze?
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- (1) Find the average orbital radius for the electron in the 3p state of hydrogen. Compare your answer with the radius of the Bohr orbit for n=3. (2) What is the probability that this electron is outside the radius given by the Bohr model?What is the (a) energy in eV and (b) wavelength in um of a photon that, when absorbed by a hydrogen atom, could cause a transition from the n = 3 to then= 6 energy level?Consider a hydrogen atom in its 1s state (ground state) and assume (for simplicity) that the electron and the proton are separated by a constant distance a, = 5.292 × 10–1'm (called the Bohr radius). (a) Calculate the gravitational force between these two charges. (use: Fg = G"m2) (b) Calculate the electric force between these two charges. (use: Fe = k«l&i[IQzl) (c) Calculate the ratio of these two forces to appreciate the strength of the electric force in comparison to the gravitational force.
- Don’t copy the old answer(a)How many sets of quantum numbers are possible for a hydrogen atom for n = 4,? ). (b) Write out a set of possible values for the quantum numbers n, ℓ, mℓ, and ms for each electron if all states are occupied including n=4. (c)Write table of occupancy of quantum numbers: n, ℓ, mℓ, and ms for Arsenic As, including spin orientations.(a) How many angles can L make with the z -axis for an l = 2 electron? (b) Calculate the value of the smallest angle.