We have potential of
v (x) = ( 0, 0 ≤ x ≤ a.
[infinity], elsewhere.
a) find the ground state energy and the first and second excited states, if an electron is enclosed in this potential of size a = 0.100 nm.
b) find the ground state energy and the first and second excited states, if a 1 g metal sphere is enclosed in this potential of size a = 10.0 cm.
c) are the quantum effects important for both systems? explain why or why not.
d) use the uncertainty principle to estimate the velocities of the electron and the metal sphere.

Aprojectile is launched from ground level with an initial velocity of v 0 feet per second. neglecting air resistance, its height in feet t seconds after launch is given by s equals negative 16 t squared plus v 0 t. find the time(s) that the projectile will (a) reach a height of 192 ft and (b) return to the ground when v 0equals112 feet per second. (a) find the time(s) that the projectile will reach a height of 192 ft when v 0equals112 feet per second. select the correct choice below and, if necessary, fill in the answer box to complete your choice.