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8. mechanical properties of solids — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics8. mechanical properties of solids1 Mark
MCQ
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
  • ✓
    Shear modulus $<$ Young's modulus $<$ bulk modulus
  • D
    Bulk modulus $<$ Young's modulus $<$ shear modulus
✓

Answer

Correct option: C.
Shear modulus $<$ Young's modulus $<$ bulk modulus
c
Poisson's ratio,

$\sigma  = \frac{{Iateral\,strain\left( \beta  \right)}}{{longitudinal\,strain\left( \alpha  \right)}}$

For material like copper, $\sigma  = 0.33$

$And,\,y = 3k\left( {1 - 2\sigma } \right)$

$Also,\frac{9}{y} = \frac{1}{k} + \frac{3}{n}$

$y = 2n\left( {1 + \sigma } \right)$

$Hence,n < y < k$

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