Question

111) Strain energy of a stretched wire is
18x10-3 J and strain energy per unit
volume of the same wire and same cross
section is 6x10-3 J/m². Its volume will
be....
(A) 3cm
(B) 3 m
(C) 6 m
(D) 6 cm​

Answer 1

I think it must be 3 m

Hope it helps you

Answer 2

The volume of the wire is 3 m³.

(B) is correct option.

Explanation:

Given that,

Strain energy $S_{e}=18\times10^{-3}\ J$

Strain energy per unit  volume $S'_{e}=6\times10^{-3}\ J/m^3$

We need to calculate the volume

Using formula for volume

$\text{Volume}=\dfrac{\text{Strain energy}}{\text{Strain energy per unit  volume }}$

$Volume =\dfrac{S_{e}}{S'_{e}}$

Put the value into the formula

$Volume =\dfrac{18\times10^{-3}}{6\times10^{-3}}$

$Volume=3\ m^3$

Hence, The volume of the wire is 3 m³.

Learn more :

Topic : strain energy

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