Niagara fall has a height of 51m. If the water at the top has a velocity of 35m/s, what would be the velocity just before reaching the bottom? (DO NOT USE KINEMATIC FORMULAS)

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

Which of the following statement is false ? a. batteries should never be stored on metal trays or outside in the elements)b, battery acid cannot be neutralized)c. do not stack batteries on top of each other)d. never put a damaged battery in a dumpster. i

Compare the patterns of the two waves shown in the image. which statement is true about these waves?