Some atomic processes can result in the emission of an electron from the atom. Electrons emitted in this way can have discrete values of kinetic energy, which depend on the atomic energy levels. The probability that the electron has a particular value depends on interactions within the atom.
Suppose a particular atomic process results in three values of the electron kinetic energy:
• Ψ₁, has Ee = 10 eV, with probability 0.2..
• Ψ₂, has Ee = 16 eV, with probability 0.3.
• Ψ₃, has Ee = 34 eV, with probability 0.5.
The electron's wave function can be written as a quantum superposition:
Ψ = aΨ₁ + bΨ₂ + cΨ₃
What are the magnitudes of a, b, and c?

Askydiver weighing 140 lb (including equipment) falls vertically downward from an altitude of 19,000 ft and opens the parachute after 18 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.55|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity v is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. (a) find the speed of the skydiver when the parachute opens. (b) find the distance fallen before the parachute opens. (c) what is the limiting velocity vl after the parachute opens? (d) determine how long the sky diver is in the air after the parachute opens. (e) plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.