Q23. A wire of cross sectional area A, modulus of elasticity $2 \times 10 ^ { 11 } \mathrm { Nm } ^ { - 2 }$ and length 2 m is stretched between two vertical rigid supports. When a mass of 2 kg is suspended at the middle it sags lower from its original position making angle $\theta = \frac { 1 } { 100 }$ radian on the points of support. The value of $A$ is $\_\_\_\_$ $\times 10 ^ { - 4 } \mathrm {~m} ^ { 2 }$ (consider [Figure] $x \ll \mathrm {~L}$ ). (given : $\mathrm { g } = 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$ )
Q23. A wire of cross sectional area A, modulus of elasticity $2 \times 10 ^ { 11 } \mathrm { Nm } ^ { - 2 }$ and length 2 m is stretched between two vertical rigid supports. When a mass of 2 kg is suspended at the middle it sags lower from its original position\\
making angle $\theta = \frac { 1 } { 100 }$ radian on the points of support. The value of $A$ is $\_\_\_\_$ $\times 10 ^ { - 4 } \mathrm {~m} ^ { 2 }$ (consider\\
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$x \ll \mathrm {~L}$ ). (given : $\mathrm { g } = 10 \mathrm {~m} / \mathrm { s } ^ { 2 }$ )\\