Imagine that you are helping your little sister construct a scale model of the Universe for her 1st Grade science project. Being incredibly imaginative, you decide to use a bright yellow Wilson tennis ball as the Sun. The radius of the tennis ball
is exactly 3.0 cm. When you look up the radius of the real Sun, you find it to have a radius of 7.0 x 10^8 meters.
1) This information will allow you to find the scale factor for your model Universe. Show the complete calculation
of the scale factor here:
scale factor = meter in the model Universe =
meter in the real Universe

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

Two vectors are shown. which statement best compares the vectors? vector x has greater magnitude than vector y. vector y has greater magnitude than vector x. the vectors have the same displacement. the vectors have the same direction.

He viscosities of several liquids are being compared. all the liquids are poured down a slope with equal path lengths. the liquid with the highest viscosity will