A piano string `1.5 m` long is made of steel of density `7.7 xx 10^(3) kg//m^(3) and gamma = 2 xx 10^(11) N//m^(2)`. It is maintained at a tension which produces an elastic strain of `1 %` in the string . What is the fundamental frequency of transverse vibration of the string ?

Explanation

To find the fundamental frequency of transverse vibration of the piano string, we can follow these steps:

### Step 1: Identify the given values
- Length of the string, \( L = 1.5 \, \text{m} \)
- Density of steel, \( \rho = 7.7 \times 10^3 \, \text{kg/m}^3 \)
- Young's modulus, \( \gamma = 2 \times 10^{11} \, \text{N/m}^2 \)
- Elastic strain, \( \text{strain} = 1\% = 0.01 \)

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