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JEE Main202117 Mar 2021Morning ShiftPhysicsAtomic PhysicsActual

Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

Options

  1. A1
  2. B6
  3. C4
  4. D8

Correct answer

B. 6

Step-by-step solution

Energy of H -atom is E = - 13 . 6 Z 2 / n 2 for H -atom Z = 1 and for ground state, n = 1 ⇒ E = - 13 . 6 × 1 2 1 2 = - 13 . 6   e V Now for carbon atom (single ionised), Z = 6 E = - 13 . 6 Z 2 n 2 = - 13 . 6 (given) ⇒ n 2 = 6 2 ⇒ n = 6

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