11) Read the following paragraph. Then, answer the question. Johnny notices that when he runs up the stairs at school, he is short of breath and
very tired. He decides he wants to lose weight and get healthy. Johnny spends a
couple of days recording everything he eats and notices that he drinks soda three
times a day and only drinks water once a day. Johnny hypothesizes that if he stops
drinking soda, then he will lose weight. Johnny decides to only drink water for one
month and monitor his weight. Every week on Sunday morning, Johnny weighs
himself. After the first week, he lost four pounds. For each Sunday after that, he
continued to lose two pounds a week, losing a total of ten pounds.
What is the independent variable?

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 electric potential v is constant everywhere within a certain region of space. which statement below is true? the choices are: the electric field is also constant (but not zero) within the region. a charged particle placed within the region will experience an electric force. the electric field is zero everywhere within the region. the electric field varies from place to place within the region.

Ain is , is 's of ? 0.62 0.79 1.27 1.50