The natural frequency of an air column in a pipe fixed at one end, of length 17 cm is 500 Hz. At what length of air column, a tuning fork of frequency 250 Hz will resonate with it?

Explanation

To solve the problem, we need to find the length of an air column in a closed pipe that will resonate with a tuning fork of frequency 250 Hz, given that the natural frequency of a 17 cm long air column is 500 Hz.

### Step-by-Step Solution:

1. **Understand the relationship between frequency and length in a closed pipe:**
In a closed pipe, the fundamental frequency (first harmonic) is given by the formula:
\[
f = \frac{V}{4L}
...