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## Homework Statement

"Show that the energy equivalent of the length 10

^{-18}cm of a large extra dimension is roughly 20TeV"

-Zwiebach 2004

2. Homework Equations

2. Homework Equations

ħ=c=1

ħc≈200MeVx10

^{-15}m

l

_{s}=√α

mc

^{2}=ħc/ l

## The Attempt at a Solution

Just some simple reforming first:

E=mc

^{2}=ħc/l

then substituting numbers and converting units:

10

^{-18}cm=10

^{-16}m

E=200MeVx10

^{-15}m / 10

^{-16}m

= 200 MeVx10x10

=20000 MeV=2x10

^{10}eV

,where Zwiebach says it schould be roughly 20 Tev 10^12 eV.

Thanks for any clarifiactions