Question

Two wires \(A\) and \(B\) made of different materials have lengths \(6.0\) cm and \(5.4\) cm, and areas of cross-sections \(3.0\times10^{-5}\,\text{m}^2\) and \(4.5\times10^{-5}\,\text{m}^2\), respectively. They are stretched by the same magnitude under the same load. If the ratio of Young’s modulus of \(A\) to that of \(B\) is \(x:3\), find the value of \(x\).

• A. \(5\)
• B. \(4\)
• C. \(2\)
• D. \(1\)

Hint:

When load and extension are same, compare Young’s modulus directly using \( Y\propto \frac{L}{A} \).

Answer 1

The Correct Option is B