Both the ends of a massless wire of length 2 L and radius r are fixed to rigid supports such that the wire stays straight horizontally without any tension. A mass m is attached to the center of the wire and the center point is found to be lowered by distance l under the weight. Choose the correct statement(s).

Options

1. AThe wire makes an angle ⁻¹(l / L) with the vertical.
2. BThe Young's modulus of the wire is m g L L^2+l^2 2 r^2 l ( L^2+l^2 -L ) .
3. CThe elongation in the wire can be removed by decreasing the temperature by ( L^2+l^2 -L ) / , where is the coe
4. DIf the tension in the wire is equal to m g , then the wire makes an angle of / 3 with the vertical.