Chemistry PYQ 38 of 291 · Structure of Atom

The radius of the nth stationary orbit of hydrogen atom is proportional to

  1. A1/n²
  2. B1/n
  3. Cn²
  4. DMore than one of the above
  5. ENone of the above

BPSC TRE-2 (Dec 2023)

Show answer and explanation

Correct answer: (c) n²

Explanation

In Bohr's model the radius of the nth orbit is rₙ = n²h²ε₀ / (πmZe²), which for hydrogen is 0.529 × n² Å.

So the radius is proportional to n²: the second orbit is 4 times and the third 9 times the radius of the first.

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