# Uncertainty principle

#### stickplot

1. Homework Statement

Using the uncertainty principle find the energy required for the electron to be confined inside the hydrogen atom. Use the radius of the atom 1 x 10^-10 m for Δr. Express your answer in eV, rounded up to the nearest hundredth.

2. Homework Equations

Δx(Δp)$$\geq$$h/4pie
x= position in space
p= momentum (mass)(velocity)
3. The Attempt at a Solution

ok im not sure how Δr (radius) goes into the uncertainty principle, i know how it works and how it shows that it can not be exactly precise but i just dont understant how Δr would fall in the equation

is it just 1 x 10^-10 m$$\geq$$4.14x10^-15 eV/12.56637061?

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#### Mr.Amin

delta_r is your delta_x.

The speed of the electron is not relativistic. (at least I don't remember it to be)
Use the momentum to get your kinetic energy.
Then convert units.

#### stickplot

o ok. and for the momentum. would i just use mass and velocity of an electron?

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