Using the astrometric method, you discover that an a2 main sequence has a velocity of 51.120 m/s due to the presence of an exoplanet orbiting at 0.39 au. follow up observations using the radial velocity method show a star velocity of 51.112 m/s. are transit observations possible if the planet is the size of jupiter? what about size of earth?

Need in all of themmm only answer if you know plsssss

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

Atomic nuclei of almost all elements consist of