A tube is open only at one end. A certain harmonic produced by the tube has a frequency of 450 Hz. The next higher harmonic has a frequency of 750 Hz. The speed of sound in air is 343 m/s. What is the integer n that describes the harmonic whose frequency is 450 Hz?

Explanation

To solve the problem, we need to determine the integer \( n \) that describes the harmonic whose frequency is 450 Hz in a closed organ pipe. Here are the steps to find the solution:

### Step 1: Understand the Harmonics in a Closed Organ Pipe
A closed organ pipe supports only odd harmonics. The frequencies of the harmonics are given by the formula:
\[ f_n = \frac{n \cdot v}{4L} \]
where:
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