The Poisson’s ratio for a metal is 0.25. If lateral strain is 0.0125, the longitudinal strain will be

Options

A. 0.125
B. 0.05
C. 0.215
D. 0.0125

Explanation

To find the longitudinal strain when given the Poisson's ratio and the lateral strain, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Poisson's Ratio**:
Poisson's ratio (σ) is defined as the ratio of lateral strain (ε_lat) to longitudinal strain (ε_long). Mathematically, it is expressed as:
\[
\sigma = -\frac{\epsilon_{lat}}{\epsilon_{long}}
...