A steel wire fixed at both ends has a fundamental frequency of 200 Hz. A person can hear sound of maximum frequency 14 kHz. What is the highest harmonic that can be played on this string which is audible to the person ?

Explanation

To find the highest harmonic that can be played on a steel wire fixed at both ends, which is audible to a person, we can follow these steps:

### Step 1: Identify the given values
- Fundamental frequency of the wire, \( f_0 = 200 \, \text{Hz} \)
- Maximum frequency audible to the person, \( f = 14 \, \text{kHz} = 14,000 \, \text{Hz} \)

### Step 2: Understand the relationship between harmonics and frequency
The frequency of the \( n \)-th harmonic of a string fixed at both ends is given by:
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