For a given material, the Young's modulus is | vedclass

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

Question

(A) The relationship between Young's modulus $(Y)$, modulus of rigidity $(\eta)$, and Poisson's ratio $(\sigma)$ is given by the formula: $Y = 2\eta(1

Vedclass · Accepted Answer

$0.2$

Vedclass · Answer

(A) The relationship between Young's modulus $(Y)$, modulus of rigidity $(\eta)$, and Poisson's ratio $(\sigma)$ is given by the formula: $Y = 2\eta(1 + \sigma)$.Given that the Young's modulus is $2.4$ times its modulus of rigidity, we have: $Y = 2.4\eta$.Equating the two expressions for $Y$:$2.4\eta = 2\eta(1 + \sigma)$Divide both sides by $2\eta$:$1.2 = 1 + \sigma$Solving for $\sigma$:$\sigma = 1.2 - 1 = 0.2$.Therefore, the Poisson's ratio is $0.2$.

For a given material, the Young's modulus is $2.4$ times its modulus of rigidity. Its Poisson's ratio is ......

Similar Questions

There is no change in the volume of a wire due to a change in its length on stretching. The Poisson's ratio of the material of the wire is:

For an elastic material,what is the relationship between Young's modulus $(Y)$ and the modulus of rigidity $(\eta)$?

There is no change in the volume of a wire due to change in its length on stretching. The Poisson's ratio of the material of the wire is

Which statement is true for a metal?

Choose the correct relationship between Poisson's ratio $(\sigma)$,bulk modulus $(K)$,and modulus of rigidity $(\eta)$ of a given solid object:

Vedclass Test Series

Exam Paper Generator

Online Exam Module