There are a variety of ways to categorize waves. One way is to categorize waves as being transverse waves, longitudinal waves, or surface waves. Waves in each of these categories differ from one another in terms of how the direction of the particle motion compares to the direction of the wave motion. The waves traveling through the rope are transverse waves. For transverse waves, compare the direction that the particles move to the direction that the wave moves?

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

By what factor does the drag force on a car increase as it goes from 65 to 110 km/h?

What structural formula represents 4 electrons shared between two atoms?