AP ECET 2024 Electronics and Communication Engineering Question Paper with Answer Key PDF

AP ECET Questions

• 1.

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

  • \( (2, 3) \)
    
  • \( (-2, 3) \)
    
  • \( (2, -3) \)
    
  • \( (-2, -3) \)
    
  View Solution

  ---

• 2.

  A solution is prepared by dissolving $10 \,g$ of a non-volatile solute (molar mass, $'M^{\prime} g mol ^{-1}$ ) in $360\, g$ of water. What is the molar mass in $g\, mol ^{-1}$ of solute if the relative lowering of vapour pressure of solution is $5 \times 10^{-3}$ ?

  • 199
  • 99.5
  • 299
  • 149.5
  View Solution

  ---

• 3.

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

  • \( \csc^2 x - \sec^2 x + c \)
    
  • \( \cot x + \tan x + c \)
    
  • \( -\cot x - \tan x + c \)
    
  • \( \csc x - \sec x + c \)
    
  View Solution

  ---

• 4.

  A solid copper sphere of density $\rho$, specific heat capacity $C$ and radius $r$ is initially at $200\, K$. It is suspended inside a chamber whose walls are at $0\, K$. The time required (in (is) for the temperature of the sphere to drop to $100 \,K$ is ($\sigma$ is Stefan's constant and all the quantities are in SI units)

  • $48 \frac{r\rho C}{\sigma}$
  • $\frac{1}{48} \frac{r\rho C}{\sigma}$
  • $\frac{27}{7} \frac{r\rho C}{\sigma}$
  • $\frac{7}{27} \frac{r\rho C}{\sigma}$
  View Solution

  ---

• 5.

  The coefficient of \( (y-2) \) in the Taylor's series expansion of \( f(x, y) = x^2 + xy + y^2 \) in powers of \( (x-1) \) and \( (y-2) \) is:

  • 5
    
  • 3
    
  • 2
    
  • 1
    
  View Solution

  ---

• 6.

  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
  View Solution