The speed of a transverse wave going on a wire having a length 50 cm and maas 5.0 g is `80ms^(-1)` The area of cross section of the wire is `1.0mm.^2` and its Young modulus is `16 xx 10^(11) N m^(-2).` Find the extension of the wire over its natural lenth.

Explanation

To find the extension of the wire over its natural length, we can follow these steps:

### Step 1: Identify the given values
- Length of the wire, \( L = 50 \, \text{cm} = 0.5 \, \text{m} \)
- Mass of the wire, \( m = 5.0 \, \text{g} = 5.0 \times 10^{-3} \, \text{kg} \)
- Speed of the wave, \( v = 80 \, \text{m/s} \)
- Area of cross-section, \( A = 1.0 \, \text{mm}^2 = 1.0 \times 10^{-6} \, \text{m}^2 \)
- Young's modulus, \( Y = 16 \times 10^{11} \, \text{N/m}^2 \)
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