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AP EAMCET · PHYSICS · Mechanical Properties of Solids

Two wires made of same material are clamped rigidly at one end and pulled by the same force on the other end. The length and the radius of the first wire are three times those of the second wire. If \(x\) is the increase in the length of the first wire, then the increase in the length of the second wire is

  1. A \(\frac{1}{3} x\)
  2. B \(3 x\)
  3. C \(9 x\)
  4. D \(\sqrt{3} x\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3 x\)

Step-by-step Solution

Detailed explanation

As wires are of same material so both are having same young's modulus \(\Rightarrow \quad Y_1=Y_2\) \(\Rightarrow \quad \frac{\frac{F_1}{A_1}}{\frac{\Delta L_1}{L_1}}=\frac{\frac{F_2}{A_2}}{\frac{\Delta L_2}{L_2}}\)…