JEE Mains · Physics · STD 11- 8. mechanical properties of solids
In materials like aluminium and copper, the correct order of magnitude of various elastic modulii is
- A Young's modulus \(<\) shear modulus \(<\) bulk modulus
- B Bulk modulus \(<\) shear modulus \(<\) Young's modulus
- C Shear modulus \(<\) Young's modulus \(<\) bulk modulus
- D Bulk modulus \(<\) Young's modulus \(<\) shear modulus
Answer & Solution
Correct Answer
(C) Shear modulus \(<\) Young's modulus \(<\) bulk modulus
Step-by-step Solution
Detailed explanation
Poisson's ratio, \(\sigma = \frac{{Iateral\,strain\left( \beta \right)}}{{longitudinal\,strain\left( \alpha \right)}}\) For material like copper, \(\sigma = 0.33\) \(And,\,y = 3k\left( {1 - 2\sigma } \right)\) \(Also,\frac{9}{y} = \frac{1}{k} + \frac{3}{n}\)…
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