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The radius of inner most orbit of hydrogen atom is 5.3×10⁻¹¹ m. What is the radius of third allowed orbit of hydrogen atom?

Asked in NEET 2023 · Postulates, radius, speed and angular momentum

(1) 0.53 Å
(2) 1.06 Å
(3) 1.59 Å
(4) 4.77 Å

Answer: (4) 4.77 Å

Step-by-step solution

rₙ=n²r₁.

r₃=9×5.3×10⁻¹¹=4.77×10⁻¹⁰ m =4.77 Å.

Why the other options are wrong

(1) This is the radius of the innermost orbit itself.
(2) Takes the radius as proportional to n and uses n=2; in fact r∝ n².
(3) Takes the radius as proportional to n: 3×0.53. In fact r∝ n².

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