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QJEEM22Ph0d5b: JEE Main 2022 Physics - Class 11 JEEM22Ph0d5b Solution: The elastic behaviour of material for linear stress and linear…

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.

JEE Main 2022 (Online) 26th June Morning Shift Physics - Properties of Matter Question 140 English

Step-by-Step Verified Solution

slope of strain −- stress curve given by =10−1020= {{{{10}^{ - 10}}} \over {20}}

for strain of 5×10−45 \times {10^{ - 4}} stress is given by

5×10−4=10−1020×5 \times {10^{ - 4}} = {{{{10}^{ - 10}}} \over {20}} \times stress

stress = 108 N/m2

Energy density =12= {1 \over 2} ×\times strain ×\times stress

=12×5×10−4×108= {1 \over 2} \times 5 \times {10^{ - 4}} \times {10^8}

=25000= 25000 J/m3

=25= 25 kJ/m3

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