The graph between applied force and change in the length of wire within elastic limit is a ___________.

Straight line with positive slope

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Straight line with negative slope

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Curve with positive slope

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Curve with negative slope

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Solution

The correct option is A Straight line with positive slope
According to the Hooke's law,
$Y = \frac{S t r e s s}{S t r a i n} = \frac{F / A}{Δ x / l}$
$⟹ F = \frac{Y A Δ x}{l}$
$⟹ F \propto Δ x$
Hence correct answer is option A.

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The graph between applied force and change in the length of wire within elastic limit is a ___________.

The correct option is A Straight line with positive slopeAccording to the Hooke's law,Y=StressStrain=F/AΔx/l⟹F=YAΔxl⟹F∝ΔxHence correct answer is option A.

The correct option is A Straight line with positive slope
According to the Hooke's law,
$Y = \frac{S t r e s s}{S t r a i n} = \frac{F / A}{Δ x / l}$
$⟹ F = \frac{Y A Δ x}{l}$
$⟹ F \propto Δ x$
Hence correct answer is option A.