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Question

Modulus of elasticity for a perfectly elastic body is

A
Zero
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B
Infinity
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C
1
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D
Can have any value
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Solution

The correct option is C Can have any value
For a perfect elastic body the stress strain graph is always linear i.e stress is always proportional to the strain through a constant i.e., the young's modulus of elasticity which is proportional to the slope of the linear property of the stress strain graph. if a body is ideally plastic it means to have infinite linear line from the center of the stress strain graph. A linear line like this could have any slope=tan θ.this linear line could have any angle meaning any slope can values between 1 and 0 implying that youngs modulus could be any value.

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