An elastic cord of unstretched total length $16.0cm$ and cross-sectional area $2.0 \times {10^{ - 6}}{m^2}$ is held horizontally by two smooth pins a distance $8.0 cm$ apart.
The cord obeys Hooke’s law. A load of mass $0.40 kg$ is suspended centrally on the cord. The angle between the two sides of the cord supporting the load is $60°$.
What is the Young modulus of the cord material?

1 )
$5.7 \times 10^5 \, \text{Pa}$
2 )
$1.1 \times 10^6 \, \text{Pa}$
$2.3 \times 10^6 \, \text{Pa}$
4 )
$3.9 \times 10^6 \, \text{Pa}$
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