An elastic cord has an unstretched total length of $16.0\,\text{cm}$ and a cross-sectional area of $2.0 \times 10^{-6}\,\text{m}^2$. It is kept horizontal by 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 hung at the centre of the cord. The angle between 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$3.9 \times 10^6\,\text{Pa}$