Question

If Young's modulus of the material is 6 times its modulus of rigidity, then its volume elasticity will be ______.

Options

• `(2"Y")/3`

• `∞`

• `"Y"/9`

• `(-"Y")/9`

Answer 1

If Young's modulus of the material is 6 times its modulus of rigidity, then its volume elasticity will be `underline((-"Y")/9)`.

Explanation:

As we know that Y = 2G(1 + σ)

6G = 2G(1 + σ)

∴ σ = 2

Y = 3B(1 − 2σ) ⇒ B = `(-"Y")/9`