Question

Two wires of the same radius and material and having length in the ratio $8.9:7.6$ are stretched by the same force. The strains produced in the two cases will be in the ratio:

• A. $1:1$
• B. $8.9:1$
• C. $1:7.6$
• D. $1:3.2$

Answer 1

The correct option is A $1:1$

Y=$\frac{stress}{strain}=\frac{\frac{F}{A}}{strain}$

As the materials are made up of same material Youngs modulus is same for both and as radius is same for both area is also same

Therefore strains are in the ratio of 1:1