Considering Bohr's atomic model for hydrogen atom : (A) the energy of H atom in ground state is same as energy of He + ion in its first excited state. (B) the energy of H atom in ground state is

Question

Considering Bohr's atomic model for hydrogen atom :
(A) the energy of H atom in ground state is same as energy of $He^{+}$ ion in its first excited state.
(B) the energy of H atom in ground state is same as that for $Li^{++}$ ion in its second excited state.
(C) the energy of H atom in its ground state is same as that of $He^{+}$ ion for its ground state.
(D) the energy of $He^{+}$ ion in its first excited state is same as that for $Li^{++}$ ion in its ground state
Choose the correct answer from the options given below :

Options:

Answer:

B

Solution:

$E \propto \frac{Z}{n ^{2}} Z_{H} = 1 Z_{He^{+}} = 2 Z_{Li^{+ 2}} = 3$
$1^{st} excited state \Rightarrow n = 2 2^{nd} excited state \Rightarrow n = 3$
From the given statements only A \& B are correct.

TestHub · Accepted Answer

​ E ∝ n 2 Z ​ Z H ​ = 1 Z He + ​ = 2 Z Li + 2 ​ = 3 ​ ​ 1 st excited state ⇒ n = 2 2 nd excited state ⇒ n = 3 ​ From the given statements only A \& B are correct.

Physics - Modern Physics Question with Solution | TestHub

Options:

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