Question

The energy of an electron in the 3rd orbit of hydrogen atom is –E. The energy of an electron in the first orbit will be
(a) -3E
(b) -E/3
(c) -E/9
(d) -9E

Answer 1

According to Bohr's theory , energy of electron in nth orbit is inversely proportional to square of n² .
e.g.,$\bold{\mathbb{E}\propto\frac{1}{n^2}}$

given, energy of electron in 3rd orbit, E₃ = -E ---(1)
Let energy in 1st orbit is E₁
Then, E₁/E₃ = (3)²/(1)² = 9
E₁ = 9E₃
from equation (1),
E₁ = -9E

Hence, option (d) is correct

Answer 2

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