Saturn’s rings consists of tiny ice particles, each of them moving in the circular orbit about the planet. all answers in this problem should be given in hours. (a) find the orbital period of particles in the innermost part of the d-ring. (b) find the orbital period of particles in the outermost part of the f-ring. (c) find the orbital period of particles that would orbit in the position of the cassini gap. compare that value to the period of saturn’s moon mimas. how do you comment on that result?

Under normal temperature and pressure conditions, what type of rock could be formed from weathering in erosion of metamorphic rock

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

J. j. thomson’s experiment disproved the theory that an atom