TS EAMCET · Physics · Mechanical Properties of Solids
The radii and Young's moduli of two uniform wires \(A\) and \(B\) are in the ratio \(2: 1\) and \(1: 2\) respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire \(A\) is one percent, the percentage increase in length of the wire \(B\) is
- A 1
- B 1.5
- C 2
- D 3
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Increase in length, \(\Delta l=\frac{F l}{A Y}\) or \(\Delta l=\frac{F l}{\pi r^2 y}\) Percent increase in length, \(\Delta x=\frac{\Delta l}{l} \times 100=\frac{F}{\pi r^2 y}\) Here, same longitudinal force is applied. So,…
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