Question Details

Which of the following will be σ if Y = 2.4η

Options

A

–1

B

0.2

C

0.1

D

-0.25

Correct Answer :

0.2

Solution :

The correct option is 0.2.

To find the value of Poisson's ratio (σ), we use the standard elastic relation that connects Young's modulus (Y), the modulus of rigidity (η), and Poisson's ratio (σ):

Y=2η(1+σ)

We are given the relationship:

Y=2.4η

Substituting this expression for Y into our elastic relation yields:

2.4η=2η(1+σ)

Dividing both sides of the equation by 2η (assuming η0):

1.2=1+σ

Subtracting 1 from both sides to solve for σ:

σ=1.2-1

σ=0.2

Thus, the value of Poisson's ratio σ is 0.2.

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