English, asked by omkarbhanawat, 11 hours ago

7. The longitudinal strain produced in a 1
wire is 0.375. Calculate lateral strain in
Poisson's ratio is 0.26.*
A. 9.75 x 10-2
B.9.75 x 10-3
C. 9.75 x 10-4
D. none of these​

Answers

Answered by sonuvuce
0

Lateral strain is 9.75 × 10⁻²

Therefore option (A) is correct.

Explanation:

Given:

The longitudinal strain in a wire is 0.375

Poisson's ratio is 0.26

To find out:

The lateral strain in the wire

Solution:

We know that

If Poisson's ratio is \nu then

\text{Lateral Strain}=\nu\times\text{Longitudinal Strain}

Here, \nu=0.26

And \text{Longitudinal strain}=0.375

Thus,

\text{Lateral Strain}=0.26\times 0.375

\implies \text{Lateral Strain}=0.0975

\implies \text{Lateral Strain}=9.75\times 10^{-2}

Hope this answer is helpful.

Know More:

Q: A metal wire having Poisson's ratio 1/4 and  Young's modulus 8 x 1010 N/m2 is stretched by a  force, which produces a lateral strain of 0.02% in

it. The elastic potential energy stored per unit  volume in wire is

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