Question

the ratio of energies of hydrogen atom for first and second excited state is

Answer 1

Assuming a semi classical model of H like atoms

En = -13.6Z^2/n^2

Energy in the ground state of H will be given by n = 1 and Z = 1 in the formula, i.e E1 = -13.6

Energy in the first excited state of He+ will be given by n = 2 and Z = 2 in the formula, i.e E2 = -13.6(2)^2/2^2

Thus the ratio =1

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Answer 2

"Let us assume a classical model of Hydrogen atoms,

Energy,$\quad E=\frac { -13.6 }{ n^{ 2 } }$

In the ground state or first excited state be n = 1

$E_1 = -13.6...(1)$

In the second excited state be n = 2,

$E_2 = \frac {-13.6} {4} ..... (2)$

Dividing (1) by (2)

$\frac { E_{ 1 } }{ E_{ 2 } } =\frac { -13.6 }{ \frac { -13.6 }{ 4 }  } =\frac { 4 }{ 1 } =4:1$ "