TS EAMCET · Chemistry · Structure of Atom
If the radius and energy of the second Bohr orbit of hydrogen atom is \(r_2\) and \(E_2\), respectively. The radius and energy of the third Bohr orbit will be 
respectively.
- A \(\frac{4}{9} r_2, \frac{9}{4} E_2\)
- B \(\frac{4}{9} r_2, \frac{4}{9} E_2\)
- C \(\frac{9}{4} \mathrm{r}_2, \frac{4}{9} \mathrm{E}_2\)
- D \(\frac{9}{4} r_2, \frac{9}{4} E_2\)
Answer & Solution
Correct Answer
(C) \(\frac{9}{4} \mathrm{r}_2, \frac{4}{9} \mathrm{E}_2\)
Step-by-step Solution
Detailed explanation
\begin{array}{ll} \mathrm{r}_{\mathrm{n}} \propto \mathrm{n}^2 & \varepsilon_{\mathrm{n}} \propto \frac{1}{\mathrm{n}^2} \\ \frac{\mathrm{r}_3}{\mathrm{r}_2}=\frac{(3)^2}{(2)^2}=\frac{9}{4} & \frac{\varepsilon_3}{\varepsilon_2}=\frac{(2)^2}{(3)^2}=\frac{4}{9} \\…
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