A wire of density `9xx10^3 kg//m^3` is stretched between two clamps 1 m apart and is stretched to an extension of `4.9xx10^-4` metre.Young's modulus of material is `9xx10^10 N//m^2`.Then

Options

A. The lowest frequency of standing wave is 35 Hz
B. The frquency of 1st overtone is 70 Hz
C. The frequency of 1st overtone is 105 Hz
D. The stress in the wire is `4.41xx10^7 N//m^2`

Explanation

To solve the problem step by step, we will use the given data and apply the relevant formulas.

### Given Data:
- Density of the wire, \( \rho = 9 \times 10^3 \, \text{kg/m}^3 \)
- Length of the wire, \( L = 1 \, \text{m} \)
- Extension of the wire, \( \Delta L = 4.9 \times 10^{-4} \, \text{m} \)
- Young's modulus, \( Y = 9 \times 10^{10} \, \text{N/m}^2 \)

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