AP EAMCET · PHYSICS · Atomic Physics
If the first excitation potential of a hypothetical hydrogen like atom is \(15 \mathrm{~V}\), then the third excitation potential of the atom is
- A \(13.6 \mathrm{~V}\)
- B \(\frac{4}{75} \mathrm{~V}\)
- C \(\frac{15}{16} \mathrm{~V}\)
- D \(\frac{75}{4} \mathrm{~V}\)
Answer & Solution
Correct Answer
(D) \(\frac{75}{4} \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
Let total energy of hydrogen like atom at ground state \(=-E\) So, Ist excitation \(\begin{aligned} \text {Energy } & =E_{2 n d}-E_{1 s t} \\ 15 \mathrm{eV} & =\left(\frac{-E}{2^2}\right)-\left[\frac{E}{1^2}\right] \end{aligned}\) ( \(\because\) First excitation potential is…
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