Energy of electron in the second orbit of hydrogen atom is E. The energy of electron ' E₃ ' in the third orbit of helium (He) atom will be (a) E₃ = 4E/9 (b) E₃ = 16E/3 (c) E₃ = 16E/9 (d) E₃ = 4E/3

Answer: (a). En ∝ (Z²)/(n²). H, n = 2: E ∝ 1/4. He, Z = 2, n = 3: E₃ ∝ 4/9. E₃/E = (4/9)/(1/4) = 16/9 So E₃ = 16E/9, which is option (c).

Energy of electron in the second orbit of hydrogen atom is E. The… | MHT CET 2021 (23 Sep, Shift 2)

Q35MHT CET 2021 · 23 SEP · SHIFT 2Medium

Energy of the Electron & Energy Levels

Energy of electron in the second orbit of hydrogen atom is $E$ . The energy of electron ' $E_{3}$ ' in the third orbit of helium $(\text{He})$ atom will be

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Answer: (a)

$E_n \propto \frac{Z^2}{n^2}$ .
H, $n = 2$ : $E \propto \frac{1}{4}$ . He, $Z = 2$ , $n = 3$ : $E_3 \propto \frac{4}{9}$ .
$\frac{E_3}{E} = \frac{4/9}{1/4} = \frac{16}{9}$
So $E_3 = \frac{16E}{9}$ , which is option (c).

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