If the Young's modulus for silver is 8 times | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The relationship between Young's modulus $(Y)$,bulk modulus $(K)$,and Poisson's ratio $(\sigma)$ is given by the formula: $Y = 3K(1 - 2\sigma)$.Gi

Vedclass · Accepted Answer

$0.37$

Vedclass · Answer

(C) The relationship between Young's modulus $(Y)$,bulk modulus $(K)$,and Poisson's ratio $(\sigma)$ is given by the formula: $Y = 3K(1 - 2\sigma)$.Given:$Y = 8 	imes 10^{10} \ N/m^2$$K = 10 	imes 10^{10} \ N/m^2$Substituting the values into the formula:$8 	imes 10^{10} = 3 	imes (10 	imes 10^{10}) 	imes (1 - 2\sigma)$Divide both sides by $10^{10}$:$8 = 30 	imes (1 - 2\sigma)$$8/30 = 1 - 2\sigma$$0.2667 = 1 - 2\sigma$Rearranging for $\sigma$:$2\sigma = 1 - 0.2667$$2\sigma = 0.7333$$\sigma = 0.7333 / 2$$\sigma \approx 0.3666 \approx 0.37$.

If the Young's modulus for silver is $8 \times 10^{10} \ N/m^2$ and the bulk modulus is $10 \times 10^{10} \ N/m^2$,what is the Poisson's ratio?

Similar Questions

Give the relation between shear modulus $(G)$ and Young's modulus $(Y)$ for an isotropic material.

The relation between Young's modulus $(Y)$,modulus of rigidity $(\eta)$,and bulk modulus $(K)$ for an elastic material is:

Liquids have no Poisson's ratio,because

Which of the following relations is true?

For silver,Young's modulus is $7.25 \times 10^{10} \ N/m^2$ and Bulk modulus is $11 \times 10^{10} \ N/m^2$. Its Poisson's ratio will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module