JEE MAIN - Physics (2022 - 26th June Morning Shift - No. 20)
The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 $$\times$$ 10$$-$$4 is __________ kJ/m3. Assume that material is elastic upto the linear strain of 5 $$\times$$ 10$$-$$4.
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Answer
25
Explanation
slope of strain $$-$$ stress curve given by $$ = {{{{10}^{ - 10}}} \over {20}}$$
for strain of $$5 \times {10^{ - 4}}$$ stress is given by
$$5 \times {10^{ - 4}} = {{{{10}^{ - 10}}} \over {20}} \times $$ stress
stress = 108 N/m2
Energy density $$ = {1 \over 2}$$ $$\times$$ strain $$\times$$ stress
$$ = {1 \over 2} \times 5 \times {10^{ - 4}} \times {10^8}$$
$$ = 25000$$ J/m3
$$ = 25$$ kJ/m3
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