[60 pts] a particle with energy e and mass m moves in one dimension along the x-axis in the positive direction. at x = 0, there is a very 2 narrow potential wall like v(x)=4_78(x) where d(x) is the dirac delta function. (a) [20 pts] for the case g > 0, write down the schroedinger equation and calculate the wave function for the scattered state (e> 0). (b) [20 pts] for the case g > 0, calculate the reflection and transmission coefficients for the calculated scattered state. (c) (20 pts] for the case g < 0, calculate the energy for the bound state (e< 0).

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2