Chemistry PYQ 39 of 291 · Structure of Atom

The speed of an electron in the orbit of the hydrogen atom in the ground state is

  1. Ac
  2. Bc/2
  3. Cc/137
  4. DMore than one of the above
  5. ENone of the above

BPSC TRE-2 (Dec 2023)

Show answer and explanation

Correct answer: (c) c/137

Explanation

In Bohr's model the electron's speed in the nth orbit is vₙ = (Z/n) × c/137, where 1/137 is the fine-structure constant.

For hydrogen in the ground state (Z = 1, n = 1) that is c/137, about 2.2 × 10⁶ m/s.

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