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## Homework Statement

The nth energy level for a particle of mass m confined in an infinite potential well is given by:

where L is the width of the well and h is Planck’s constant. Assuming that the uncertainty in the particle’s momentum is equal to the momentum itself, show that the uncertainty in the particle’s position is less than the width of the well by a factor of n.

## Homework Equations

Uncertainty principle?

## The Attempt at a Solution

I don't really know where to start. Help!

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