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Homework Statement
Verify that the equation of the ground state energy Eo of the Bohr atom: Eo= (2pi2e4mek2)/h2
simplifies to Eo = 13.6 eV. Show clearly how the units of the different
quantities in the equation simplify to the eV.
This is all they give. Nothing more.
Homework Equations
Eo= (2pi2e4mek2)/h2
The Attempt at a Solution
me = 9.10938291 x 10-19 Kg
k = 1.3806488 x 10-23J/K
h = 6.62606957 x 10-34J.s
1.6 x 10-19J = 1 eV
2 pi2 = 19.7392088
e4 = 6.589333674 x 10-76 C4
k2 = 1.906195527 x 10-46J2/K2
h2 = 4.390478986 x 10-67J2.s2
when you multiply the above constants together : 2pi2.e4.me.k2 = 0 which means that the whole equation is equal to zero thus Eo = 0 and clearly Eo is not equal to 0 but to 13.6 eV
Also for the units I obtain for the answer when I multiply together and then divide is (C4.Kg/(K2.s2) which is not correct and I did not see any other units for the constants we have to use.