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JEE Main Chemistry Structure of Atom 2026 JEE Main 2026 (23 January Shift 1)

JEE Main Chemistry Question (2026) — Solution

Question

Which of the following statements regarding the energy of the stationary state is true in the following one - electron systems ?

Options

  1. A. +2.18 10^ -18 ~J for second orbit of He ^ + ion
  2. B. -2.18 10^ -18 ~J for third orbit of Li ^ 2+ ion
  3. C. -1.09 10^ -18 ~J for second orbit of H atom.
  4. D. +8.72 10^ -18 ~J for first orbit of He ^ + ion

Answer

B. -2.18 10^ -18 ~J for third orbit of Li ^ 2+ ion

Step-by-step solution

The energy of an electron in the n^ th stationary state of a one-electron system is given by the Bohr's formula: E_n = -2.18 10^ -18 Z^2 n^2 J where Z is the atomic number and n is the principal quantum number. For option (1): Second orbit of He^+ (Z=2, n=2) E = -2.18 10^ -18 2^2 2^2 = -2.18 10^ -18 J. (Incorrect sign in option) For option (2): Third orbit of Li^ 2+ (Z=3, n=3) E = -2.18 10^ -18 3^2 3^2 = -2.18 10^ -18 J. (Correct) For option (3): Second orbit of H atom (Z=1, n=2) E = -2.18 10^ -18 1^2 2^2 = -0.545 10^ -18 J. (Incorrect value) For option (4): First orbit of He^+ (Z=2, n=1) E = -2.18 10^ -18 2^2 1^2 = -8.72 10^ -18 J. (Incorrect sign in option)

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