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The Young's modulus of the composite is

  • A.\(1.77 \times 10^{4}\) kg/cm\(^{2}\)
  • B.\(1.99 \times 10^{4}\) kg/cm\(^{2}\)
  • C.\(2.34 \times 10^{4}\) kg/cm\(^{2}\)
  • D.\(2.77 \times 10^{4}\) kg/cm\(^{2}\)

Answer: D

The Young's modulus is \(2.77 \times 10^{4}\) kg/cm2.

Since the curve is linear up to the break, the modulus is the breaking stress over the breaking strain:

\[ \begin{aligned} \varepsilon &= \frac{0.03}{4} = 0.0075 \\ E &= \frac{208.3}{0.0075} = 2.78 \times 10^{4}\ \text{kg/cm}^{2} \end{aligned} \]

which is the key's \(2.77 \times 10^{4}\) within rounding. The lower options would require a larger strain or a smaller stress than the data give.

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