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EEJ MAIN Physics QUESTION #7086
Question 1
Identify the correct mathematical relationship between Young's modulus ($Y$), Bulk modulus ($K$), and Rigidity modulus ($\eta$).
  • $Y=\frac{9K\eta}{3K-\eta}$
  • $Y=\frac{9K\eta}{2\eta+3K}$
  • $K=\frac{Y\eta}{9\eta-3Y}$✔️
  • $n=\frac{3YK}{9K+Y}$
Correct Answer Explanation

The standard relation between these moduli is $\frac{9}{Y} = \frac{3}{\eta} + \frac{1}{K}$.

  • Rearranging for $K$: $\frac{1}{K} = \frac{9}{Y} - \frac{3}{\eta} = \frac{9\eta - 3Y}{Y\eta}$
  • $K = \frac{Y\eta}{9\eta - 3Y}$.