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The relation between Young's modulus (E), shear modulus (C) and bulk modulus (K) is given by
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
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The relation between Young's modulus (E), shear modulus (C), and bulk modulus (K) is given by:
Answer: C
The correct relation between Young's modulus (E), shear modulus (C), and bulk modulus (K) is given by equation C.
Explanation:
Young's modulus (E), shear modulus (C), and bulk modulus (K) are all measures of a material's elasticity, which describe how it deforms under external forces. The relation between these moduli can be expressed in the following equation:
E = 3K(1 - 2ν)
where:
- E is Young's modulus
- C is shear modulus
- K is bulk modulus
- ν (nu) is Poisson's ratio
Poisson's ratio (ν) is a dimensionless constant that represents the ratio of lateral strain to axial strain when a material is subjected to an external force. It is a property that characterizes the deformation behavior of a material.
In equation C, the relation between Young's modulus (E), shear modulus (C), and bulk modulus (K) is given in terms of Poisson's ratio (ν). The equation shows that Young's modulus (E) is related to the bulk modulus (K) and Poisson's ratio (ν). The shear modulus (C) is not directly related to Young's modulus (E) and bulk modulus (K).
Therefore, the correct relation between Young's modulus (E), shear modulus (C), and bulk modulus (K) is given by equation C.
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