Question

The relationship between Young’s Modulus of Elasticity (E), Bulk’s Modulus (K), and Poisson’s ratio (ν) is given by:

• A. E = 3K(1 − 2ν)
• B. E = 3K(1 + 2ν)
• C. E = 9K/(1 + ν)
• D. E = 2K(1 + ν)

Hint:

Remember: E = 3K(1 − 2ν) is valid for isotropic materials. It helps link bulk deformtion properties (K) to elastic properties (E).

Answer 1

The Correct Option is A

The relationship between E, K, and ν is derived from elasticity theory:
E = 3K(1 − 2ν)
where:
• E: Young’s Modulus of Elasticity,
• K: Bulk’s Modulus,
• ν: Poisson’s ratio.
This equation shows how the material’s resistance to deformation under pressure (K) and its lateral strain (ν) relate to its elastic modulus.