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A rod of length $L$ having uniform cross-sectional area $A$ is subjected to a tensile force $P$ as shown in the figure below. If the Young’s modulus of the material varies linearly from $E_1$ to $E_2$ along the length of the rod, the normal stress developed at the section-$SS$ is

  1. $\dfrac{P}{A} \\$
  2. $\dfrac{P(E_1-E_2)}{A(E_1+E_2)} \\$
  3. $\dfrac{PE_2}{AE_1} \\$
  4. $\dfrac{PE_1}{AE_2}$
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