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Class 11 Tuition > Learn Physics > What is the Young's modulus for a perfect rigid body?
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What is the Young's modulus for a perfect rigid body?

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13 Years Experienced HBTU Faculty; NEET & IIT ,XI-XII

we know that young modulus =Stress/strain and A rigid body is defined as one manifesting zero strain regardless of applied stress so Y=stress/0 Y= infinite (because any number devived by zero is infinite, 1/0= infinite)
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Infinite.because there will be no strain for a perfectly rigid body.so stress/strain equals young module.here strain /zero ,any value decided by zero is infinite.hope u clear the idea.
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Physics(xi-xii, neet ,jee main) and science tutor

infinite
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If the body is perfectly rigid, then strain would be zero whatever the stress & it's not a practical thing ( to be a perfectly rigid body). so, E=stress/strain E= stress/0, therefore we can say the value of E would be infinite for the perfectly rigid body.
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We know that Young's Modulus is the ratio of stress and strain. But, for a perfectly rigid body, the strain is zero, since there are no change in dimensions. Hence, for a perfectly rigid body, the Young's Modulus is undefined. Stress/Strain=Stress/0=undefined (For a perfectly rigid body).
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