AP ECET 2024 Mechanical Engineering Question Paper with Answer Key PDF

AP ECET Questions

• 1.

  The half-life periods of a first order reaction at $300\, K$ and $400\, K$ are $50\, s$ and $10\, s$ respectively. The activation energy of the reaction in $kJ \; mol^{-1}$ is (log 5 = 0.70)

  • 4
  • 8
  • 16.1
  • 20.1
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• 2.

  The integral value of \( \int \frac{\cos 2x}{\sin^2 x \cos^2 x} \, dx = \):

  • \( \csc^2 x - \sec^2 x + c \)
    
  • \( \cot x + \tan x + c \)
    
  • \( -\cot x - \tan x + c \)
    
  • \( \csc x - \sec x + c \)
    
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• 3.

  The equation of the circle with extremities \( (1, 3) \) and \( (5, 7) \) of the diameter is:

  • \( x^2 + y^2 + 6x + 10y + 26 = 0 \)
    
  • \( x^2 + y^2 - 6x - 10y + 26 = 0 \)
    
  • \( x^2 + y^2 - 6x + 10y + 26 = 0 \)
    
  • \( x^2 + y^2 - 6x - 10y - 26 = 0 \)
    
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• 4.

  Let $A, G, H$ and $S$ respectively denote the arithmetic mean, geometric mean, harmonic mean and the sum of the numbers $a_1 , a_2 , a_3 ....., a_n$ . Then the value of at which the function $f(x) =\displaystyle \sum^n_{k =1} (x -a_k)^2$ has minimum is

  • S
  • H
  • G
  • A
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• 5.

  The centre of the circle of curvature for the curve \( y = e^x \) at \( (0, 1) \) is:

  • \( (2, 3) \)
    
  • \( (-2, 3) \)
    
  • \( (2, -3) \)
    
  • \( (-2, -3) \)
    
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• 6.

  A parallel plate capacitor consists of two circular plates each of radius $2 \,cm$, separated by a distance of $0.1 \,mm$. If the potential difference across the plates is varying at the rate of $5 \times 10^{6} Vs ^{-1}$, then the value of displacement current is

  • 5.56 A
  • 5.56 mA
  • 0.556 mA
  • 2.28 mA
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