Duas partículas eletrizadas com cargas iguais a +25uC estão colocadas a 1,0m uma da outra, no vácuo, onde a constante eletrostática vale 9.10^9 unidades do Sistema Internacional. Não havendo influência de outras cargas, determine: a) a intensidade do campo eletrostático que cada carga cria no ponto P, situado a meia distancia entre elas;
b) a forca resultante que age numa carga de prova de +2,0uC colocada em P.

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

The vapour pressure of benzene is 53.3 kpa at 60.6 °c, but it fell to 51.5 kpa when 19.0 g of a non-volatile organic compound was dissolved in 500 g of benzene. calculate the molar mass of the compound.

State the following: boyle's law and charle's law