Observe some of the phenomena around your home. look for something that you can’t explain right away, but that you could test with an experiment. then, design an experiment that you could conduct at home. make sure to identify the independent, dependent, and controlled variables. you should also write your own hypothesis. you don’t need to perform the experiment, just identify the variables and write a hypothesis.

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

Gunpowder residue is most likely to show up where on a shooters hands

The diagram shows four locations in the electric field of a positive point charge m. at which location is the electric potential the greatest.