In hydrogen atom, the energy of electron in first and third orbit is ' E₁ ' and' E₃ ' respectively. If E₃ = xE₁ then the value of x will be (a) 1/9 (b) 1/64 (c) 1/27 (d) 1/8

Answer: (a). In hydrogen, En = -(13.6)/(n²) eV, so En ∝ 1/n². (E₃)/(E₁) = (1²)/(3²) = 1/9 So the answer is (a) x = 1/9.

In hydrogen atom, the energy of electron in first and third orbit is… | MHT CET 2025 (23 Apr, Shift 1)

Q8MHT CET 2025 · 23 APR · SHIFT 1Easy

Energy of the Electron & Energy Levels

In hydrogen atom, the energy of electron in first and third orbit is ' $E_1$ ' and' $E_3$ ' respectively. If $E_3 = xE_1$ then the value of $x$ will be

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Answer: (a)

In hydrogen, $E_n = -\frac{13.6}{n^2}$ eV, so $E_n \propto \frac{1}{n^2}$ .
$\frac{E_3}{E_1} = \frac{1^2}{3^2} = \frac{1}{9}$
So the answer is (a) $x = \frac{1}{9}$ .

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