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(B) The energy of an electron in a hydrogen-like atom is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} 	ext{ eV}$.As the principal quantum number $n$

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The energy gap decreases as $n$ increases

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(B) The energy of an electron in a hydrogen-like atom is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} 	ext{ eV}$.As the principal quantum number $n$ increases,the energy levels become closer to each other.The energy difference between two successive levels $n$ and $n+1$ is given by $\Delta E = E_{n+1} - E_n = 13.6 	imes Z^2 	imes (\frac{1}{n^2} - \frac{1}{(n+1)^2})$.As $n$ increases,the term $(\frac{1}{n^2} - \frac{1}{(n+1)^2})$ decreases,leading to a decrease in the energy gap.Therefore,the energy gap decreases as $n$ increases.

How does the energy gap between successive energy levels in an atom vary from low to high $n$ values?

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