Please I want a solution to this question?

[momd]

Please I want a solution to this question??

This question is Modern Physics 2

Q The lifetimes of the levels in a hydrogen atom are of the order of 10-8 s. Find the energy uncertainty of the first excited state and compare it with the energy of the state

The final answer is 7*10^-8ev

Thank you

 

[Physics Enemy]

This question is Modern Physics 2

Q The lifetimes of the levels in a hydrogen atom are of the order of 10-8 s. Find the energy uncertainty of the first excited state and compare it with the energy of the state

The final answer is 7*10^-8ev

Thank you

dEdT = h/2Pi
dE = (6.63 x 10^-34)/(2Pi * 10^-8) J
dE = [(6.63 x 10^-34)/(2Pi * 10^-8 * 1.6 x10^-19)] eV
dE = 6.6 x 10^-8 eV
dE = 7 x 10^-8 eV (1 Sig Fig)

The energy of the first excited state is 13.6/4 = 3.4 eV, so its energy uncertainty is tiny compared in comparison.

 

[momd]

dEdT = h/2Pi
dE = (6.63 x 10^-34)/(2Pi * 10^-8) J
dE = [(6.63 x 10^-34)/(2Pi * 10^-8 * 1.6 x10^-19)] eV
dE = 6.6 x 10^-8 eV
dE = 7 x 10^-8 eV (1 Sig Fig)

The energy of the first excited state is 13.6/4 = 3.4 eV, so its energy uncertainty is tiny compared in comparison.

Thank you very much