A mass m suspended by a spring, oscillates with frequency `f_(1)`. The same mass m oscillates with frequency `f_(2)` if length of the spring is made one-third. Find the ratio `f_(1)//f_(2)`.

Explanation

To solve the problem, we need to find the ratio of the frequencies \( f_1 \) and \( f_2 \) of a mass \( m \) suspended by a spring when the length of the spring is changed.

### Step-by-Step Solution:

1. **Understanding the Frequency of Oscillation**:
The frequency of oscillation \( f \) for a mass \( m \) attached to a spring with spring constant \( k \) is given by the formula:
\[
f = \frac{1}{2\pi} \sqrt{\frac{k}{m}}
...