AP EAPCET 2026 Engineering Question Paper for May 14 Shift 2 is available for download here. JNTUK on behalf of APSCHE conducted AP EAPCET 2026 Engineering exam on May 14 in Shift 2 from 2 PM to 5 PM. AP EAPCET 2026 Engineering consists of 160 questions for a total of 160 marks to be attempted in 3 hours.

  • AP EAPCET 2026 Engineering is divided into 3 sections- Mathematics with 80 questions and Physics and Chemistry with 40 questions each.
  • Each correct answer carries 1 mark and there is no negative marking for incorrect answer.

AP EAPCET 2026 Engineering Question Paper PDF for May 14 Shift 2

AP EAPCET 2026 Engineering Question Paper May 14 Shift 2 Download PDF Check Solutions


Question 1:

The value of the integral \(\int_{0}^{\pi} \frac{x \sin x}{1 + \cos^2 x} \, dx\) is:

  • (A) \(\frac{\pi^2}{4}\)
  • (B) \(\frac{\pi}{2}\)
  • (C) \(\frac{\pi^2}{2}\)
  • (D) \(\frac{\pi}{4}\)

Question 2:

The value of the integral \(\int_{0}^{\pi} \frac{x \sin x}{\sin^2 x + 2 \cos^2 x} \, dx\) is:

  • (A) \(\frac{\pi}{2}\)
  • (B) \(\frac{\pi^2}{2}\)
  • (C) \(\frac{\pi^2}{4}\)
  • (D) \(\frac{\pi}{4}\)

Question 3:

The value of the integral \(\int_{5}^{9} \frac{\log 3x^2}{\log 3x^2 + \log(588 - 84x + 3x^2)} \, dx\) is equal to:

  • (A) 2
  • (B) 1
  • (C) \(\frac{1}{2}\)
  • (D) 4

Question 4:

The value of the integral \(\int_{0}^{\pi/2} \frac{\sin^{3/2} x}{\sin^{3/2} x + \cos^{3/2} x} \, dx\) is equal to:

  • (A) \(\pi\)
  • (B) \(\pi/2\)
  • (C) \(\pi/4\)
  • (D) 0

Question 5:

The value of the integral \(\int_{0}^{3\pi/2} \frac{\cos^3 x}{\cos^3 x + \sin^3 x} \, dx\) is:

  • (A) 0
  • (B) 1
  • (C) \(\frac{\pi}{4}\)
  • (D) \(\frac{3\pi}{4}\)

Question 6:

A liquid flows with velocity \(2\) m/s through a pipe of diameter \(0.01\) m. Density = \(1000\) kg/m\(^3\), viscosity = \(0.5\) kg/m\(\cdot\)s. Reynolds number is:

  • (A) 20
  • (B) 40
  • (C) 100
  • (D) 200

Question 7:

A 100 g metal at 80°C is placed in 100 g water at 20°C. Final temperature is 40°C. Find specific heat of metal.

  • (A) 420 J/kgK
  • (B) 840 J/kgK
  • (C) 1680 J/kgK
  • (D) 2100 J/kgK

Question 8:

A rod of length 1 m expands by 1 mm when temperature increases by 100°C. Coefficient of linear expansion is:

  • (A) \(10^{-5}\)
  • (B) \(10^{-4}\)
  • (C) \(10^{-3}\)
  • (D) \(10^{-6}\)

Question 9:

Heat required to raise temperature of 2 kg substance by 5°C is 1000 J. Specific heat is:

  • (A) 50
  • (B) 100
  • (C) 200
  • (D) 500

Question 10:

Heat flows through a rod of length 1 m and area 1 m\(^2\). Temperature difference = 10 K. If thermal conductivity = 5 W/mK, heat flow per second is:

  • (A) 10 W
  • (B) 25 W
  • (C) 50 W
  • (D) 100 W

Question 11:

The number of extensive and intensive properties in the list given below is respectively:

Density, enthalpy, mass, temperature, volume, pressure

  • (A) 4, 2
  • (B) 1, 5
  • (C) 2, 4
  • (D) 3, 3

Question 12:

Consider the equilibrium reactions:

\[ \begin{aligned} H_3PO_4 &\rightleftharpoons[K_1]{} H^+ + H_2PO_4^- \\[6pt] H_2PO_4^- &\rightleftharpoons[K_2]{} H^+ + HPO_4^{2-} \\[6pt] HPO_4^{2-} &\rightleftharpoons[K_3]{} H^+ + PO_4^{3-} \end{aligned} \]

The equilibrium constant, \(K_c\), for the following dissociation

\[ H_3PO_4 \rightleftharpoons 3H^+ + PO_4^{3-} \]

is:


Question 13:

The conjugate acid of \(NH_2^-\) is:

  • (A) \(NH_3\)
  • (B) \(NH_2OH\)
  • (C) \(NH_4^+\)
  • (D) \(N_2H_4\)

Question 14:

Which one of the pairs will form a buffer solution?

  • (A) \(CH_3COONa\) & \(NaOH\)
  • (B) \(CH_3COONH_4\) & \(NH_4Cl\)
  • (C) \(NH_4Cl\) & \(NH_4OH\)
  • (D) \(CH_3COONa\) & \(HCl\)

Question 15:

The solubility of \(Mg_3(PO_4)_2\) is '\(S\)' mol L\(^{-1}\). The solubility product is given by the relation:

  • (A) \(S^5\)
  • (B) \(36S^6\)
  • (C) \(6S^5\)
  • (D) \(108S^5\)

AP EAPCET 2026 Paper Pattern – Engineering

Section Number of Questions Marks per Question Weightage Total Marks
Mathematics 80 1 80 80
Physics 40 1 40 40
Chemistry 40 1 40 40
Total 160 1 160 160

AP EAPCET 2026 Engineering Paper Analysis