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TS EAMCET · Physics · Mechanical Properties of Solids

The lengths of four wires A, B, C and D made of same material are \(1 \mathrm{~m}, 2 \mathrm{~m}, 3 \mathrm{~m}\) and \(4 \mathrm{~m}\) respectively. The radii of the wires A, B, C and D are \(0.2 \mathrm{~mm}, 0.4 \mathrm{~mm}, 0.6 \mathrm{~mm}\) and \(0.8 \mathrm{~mm}\) respectively. For the same applied tension, the elongation is more in the wire.

  1. A A
  2. B B
  3. C C
  4. D None of these
Verified Solution

Answer & Solution

Correct Answer

(D) None of these

Step-by-step Solution

Detailed explanation

\(Y=\frac{\frac{F}{A}}{\frac{\Delta 1}{1}}\) Elongation, \(\Delta \mathrm{l} \propto \frac{1}{\mathrm{r}^2}\) For wire A, \(\Delta \mathrm{l}=\frac{1}{\left(0.2 \times 10^{-3}\right)^2}=5 \times 10^7\) For wire B,…
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