If Poisson’s ratio of a material is 0.5, then the elastic modulus for the material is

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BPSC AE Paper VI Mechanical 2024 Official Paper
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  1. Equal to its shear modulus
  2. 4 times its shear modulus
  3. Indeterminate
  4. 3 times its shear modulus

Answer (Detailed Solution Below)

Option 4 : 3 times its shear modulus
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Detailed Solution

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Concept:

There is a relationship between Young’s modulus , shear modulus , and Poisson’s ratio given by the formula:

Given:

Poisson’s ratio,

Calculation:

Substitute the given value of into the formula:

 

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