A wire of length \( 2 L \) and radius \( r \) is stretched between \( A \) and \( B \) without t...

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A wire of length \( 2 L \) and radius \( r \) is stretched between \( A \) and \( B \) without the application of any tension. If \( Y \) is the Young's modulus of the wire and it is stretched like \( A C B \), then the tension in the wire will be
[MP PET 2011]
(a) \( \frac{\pi r^{2} Y d^{3}}{2 L^{2}} \)
(b) \( \frac{\pi r^{2} Y d^{2}}{2 L^{2}} \)
(c) \( \frac{\pi r^{2} Y \cdot 2 L^{2}}{d^{2}} \)
(d) \( \frac{\pi r^{2} Y \cdot 2 L}{d} \)
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