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AP EAMCET · PHYSICS · Mechanical Properties of Solids

The stress - strain graph of two wires A and B is shown in the figure. If \(\mathrm{Y}_{\mathrm{A}}\) and \(Y_B\) are Young's moduli of materials of wires \(A\) and \(B\) respectively, then

  1. A \(\mathrm{Y}_{\mathrm{A}}=3 \mathrm{Y}_{\mathrm{B}}\)
  2. B \(Y_A=Y_B\)
  3. C \(\mathrm{Y}_{\mathrm{B}}=3 \mathrm{Y}_{\mathrm{A}}\)
  4. D \(Y_B=2 Y_A\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\mathrm{Y}_{\mathrm{A}}=3 \mathrm{Y}_{\mathrm{B}}\)

Step-by-step Solution

Detailed explanation

\( Y = \frac{\text{Stress}}{\text{Strain}} \) \( Y_A = \frac{300}{0.003} \) \( Y_B = \frac{100}{0.003} \) \( Y_A = 3 \times \frac{100}{0.003} = 3 Y_B \)