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 interacions 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?

|a| = 0.447

|b| = 0.547

|c| = 0.707

Step-by-step explanation:

From available data

Ψ1 = Ee = 10eV probability = 0.2

Ψ2 = Ee = 16eV, probability = 0.3

Ψ3 = Ee = 34eV, probability = 0.5

The magnitude of a

= a² = 0.2

= a = √0.2

|a| = 0.447

The magnitude of b

b² = 0.3

b = √0.3

|b| = 0.547

The magnitude of c

c² = 0.5

c = √0.5

|c| = 0.707

So in conclusion we have magnitude of a = 0.447

b = 0.547

c = 0.707

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet