The stress required to double the length of wire (or) to produce $100 %$ longitudinal strain is:

Y

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\frac{Y}{2}

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2 Y

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3 Y

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Solution

The correct option is A $Y$
$\frac{S t r e s s}{S t r a i n} = Y o u n g^{'} s$ $m o d u l u s$
$L o n g i t u d i n a l$ $s t r a i n = \frac{C h a n g e i n l e n g t h}{I n i t i a l l e n g t h}$
Here, $\frac{2 L - L}{L} = \frac{L}{L} = 1$
$∴ Y = \frac{S t r e s s}{1}$

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