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CUET · PHYSICS · PYQ PAPER 2023

The radius of the first orbit in Bohr's hydrogen atom is 0.53\(\text{\AA}\). The radius of fourth orbit of this atom will be:

  1. A 1.06 \(\text{\AA}\)
  2. B 0.53 \(\text{\AA}\)
  3. C 2.12 \(\text{\AA}\)
  4. D 8.48 \(\text{\AA}\)
Verified Solution

Answer & Solution

Correct Answer

(D) 8.48 \(\text{\AA}\)

Step-by-step Solution

Detailed explanation

\(r_n = r_1 n^2\) \(r_4 = 0.53 \text{ \AA} \times 4^2 = 0.53 \times 16 = 8.48 \text{ \AA}\)
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