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The ratio of the difference in energy between the 1st and 2nd Bohr orbit to that between the 2nd andAtomic Structure Chemistry Question

Question

The ratio of the difference in energy between the 1st and 2nd Bohr orbit to that between the 2nd and 3rd Bohr orbit in an H-atom is:

Answer: A

💡 Solution & Explanation

Energy diff $E_2-E_1 \propto (1/1 - 1/4) = 3/4$. Energy diff $E_3-E_2 \propto (1/4 - 1/9) = 5/36$. Ratio = $(3/4) / (5/36) = (3 \times 36) / (4 \times 5) = 27/5$.

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