If the radius of the second Bohr of hydrogen atom is `r_(2)` the radius of the third Bohr orbit will be

Options

A. `(4)/(9)r_(2)`
B. `4r_(2)`
C. `(9)/(4)r_(2)`
D. `9r_(2)`

Explanation

To find the radius of the third Bohr orbit of a hydrogen atom given the radius of the second Bohr orbit \( r_2 \), we can follow these steps:

### Step 1: Understand the relationship between the radius of Bohr orbits
According to Bohr's model, the radius of the nth orbit (\( r_n \)) is proportional to the square of the principal quantum number (\( n \)). This can be expressed as:
\[ r_n \propto n^2 \]

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