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  4. The force (F)-extension (Δ l), graph shows that the strain energy stored in the material under test, for an extension of 4 mm, is greater than which of the following values?

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Q. The force $(F)$-extension $(\Delta l)$, graph shows that the strain energy stored in the material under test, for an extension of $4\, mm$, is greater than which of the following values?Physics Question Image

Mechanical Properties of Solids

Solution:

Area under the curve represents strain energy stored and it is greater than $40\, mJ$.
image
Area under curve (straight line)
$=\frac{1}{2} \cdot F \cdot \Delta l$
$=\frac{1}{2} \cdot(20) \cdot\left(4 \times 10^{-3}\right) J=40\, mJ$