Finding Energy and Distance in a Hydrogen Atom using Uncertainty Principle

[neelakash]

Homework Statement

Is it possible to find out the minimum permitted energy of an electron in a Hydrogen atom and its corresponding mean distance from the nucleus using Uncertainty principle?

Homework Equations

The Attempt at a Solution

I know that if the mean distance is known we can find the energy... But,according to the question,we are to find both...

 

[dynamicsolo]

Since you need to relate energy and distance, you have to consider the form of the Uncertainty Principle that includes position (units of length). What is the other related quantity? How might you use that quantity to find the electron's energy? (Hint: Consider the electron as being confined within a box the size of a hydrogen atom.)