Question

In a particular material, if the modulus of rigidity is equal to the bulk modulus, the Poisson Ratio would be 
1. 1/8
2. 1/4
3. 1/2
4. 1

Answer 1

Correct Answer - Option 1 : 1/8

Concept:

We know,

Relation between E, K and ν

E = 2G (1 + μ )  -- (1)

E = 3K (1 - 2μ)  --- (2)

Where, Bulk modulus (K), Young’s modulus (E), and Poisson’s ratio (μ) 

G - Modulus of rigidity

Calculation:

Given, K = G

From (1) & (2)

2G (1 + μ ) = 3K (1 - 2μ)

2G (1 + μ ) = 3G (1 - 2μ) 

 2 + 2μ = 3 - 6μ 

8μ = 1

∴ μ = 1/8