Question

If for a given material E = 2G, then the bulk modulus K will be
1. E/3
2. E/2
3. E/4
4. E

Answer 1

Correct Answer - Option 1 : E/3

Concept:

The relation between E, G, μ, and k will be,

E = 2G (1 + μ),

E = 3K (1 – 2μ)

Where E = Young’s modulus, G = Modulus of rigidity, μ = Poisson ratio, K = Bulk modulus of elasticity.

Calculation:

Given:

E = 2G

→ 2G = 2G (1 + μ)

→ μ = 0

Now

E = 3K (1 – 2μ)

E = 3K (1 – 2 × 0)

→ E = 3K

K = E/3