An elastic cord with an unstretched overall length of $16.0\,\text{cm}$ and a cross-sectional area of $2.0 \times 10^{-6}\,\text{m}^2$ is stretched horizontally between two smooth pins that are $8.0\,\text{cm}$ apart. The cord follows Hooke’s law. A load with mass $0.40\,\text{kg}$ is attached at the centre of the cord. The angle formed by the two sections of cord supporting the load is $60^{\circ}$. Determine the Young modulus of the cord material.
- A$5.7 \times 10^{5}\,\text{Pa}$
- B$1.1 \times 10^{6}\,\text{Pa}$
- C$2.3 \times 10^{6}\,\text{Pa}$
- D$3.9 \times 10^{6}\,\text{Pa}$