Modern Physics - Length of infinite well that has an electron

[fallen186]

Homework Statement

** My book doesn't have any solutions in the back , and I trying to find out if I am doing the problems correctly. My book is Modern Physics for Scientists and Engineers by John C. Morrison. If you know anywhere I can find the Answers. I would greatly appreciate it!

The lowest energy level of an electron confined to a one-dimensional region is 1.0 eV. (a) By describing the electron as a particle in an infinite well, find the size of the region.

Homework Equations

Energy levels of particle in an infinite well:
$$E=\frac{n^{2}*h^{2}}{8mL^{2}}$$

The Attempt at a Solution

Formula:
$$E=\frac{n^{2}*h^{2}}{8mL^{2}}$$

Variables:
E= 1.0 eV = 1.602e-19 J
n =1
h = 6.626e-34 J*s
m= 9.109e-31 kg
L = ?

$$1.602*10^{-19}J=\frac{(1)^{2}*(6.626*10^{-34}J*s)}{8*(9.109*10^{-31}kg)*(L)^{2}}$$

$$L = 7.534*10^{8}m$$

 

[Matterwave]

You're missing a square on your h, so you're getting an answer which is far too large...