Question

In the hydrogen atom, radii of the first four Bohr orbits are related as

• A. \(1:2:3:4\)
• B. \(\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\)
• C. \(1:4:9:16\)
• D. \(\frac{1}{4}:\frac{1}{9}:\frac{1}{16}\)

Hint:

Bohr radius r is proportional to n squared.

Answer 1

The Correct Option is C

Step 1: Formula
$r \propto n^2$.

Step 2: Squares
$1, 4, 9, 16$.

Step 3: Answer
Option (C).

Final Answer:
Option (C). \[ \boxed{1:4:9:16} \]