COMEDK UGET 2025 May 10 Shift 1 Question Paper (Soon): Download Solutions with Answer Key

COMEDK UGET Questions

• 1.

  The magnetic flux linked with a coil is given by the equation: $ \phi = 8t^2 + t + 10 $ The e.m.f. induced in the coil in the 3rd second will be

  • 49 V
  • 33 V
  • 16 V
  • 20 V
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• 2.

  If 216 drops of the same size are charged at 200 V each and they combine to form a bigger drop, the potential of the bigger drop will be

  • 2400 V
  • 7200 V
  • 1200 V
  • 8200 V
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• 3.

  If the matrix $ A $ is such that $ A \begin{pmatrix} -1 & 2 \\ 3 & 1 \end{pmatrix} = \begin{pmatrix} -4 & 1 \\ 7 & 7 \end{pmatrix} \text{ then } A \text{ is equal to} $

  • \( \begin{pmatrix} 1 & 2 \\ 1 & -3 \end{pmatrix} \)
  • \( \begin{pmatrix} -1 & 2 \\ 1 & 3 \end{pmatrix} \)
  • \( \begin{pmatrix} 1 & -2 \\ 1 & 3 \end{pmatrix} \)
  • \( \begin{pmatrix} 1 & 2 \\ 3 & -1 \end{pmatrix} \)
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• 4.

  Identify the final product formed when Toluene undergoes a series of reactions with reagents given in the order: 
  (i) \( \text{Cl}_2 / \text{Sunlight} \)
  (ii) \( \text{H}_2\text{O}/373 \, \text{K} \)
  (iii) Acetophenone / \( \text{OH}^- \) at 293 K

  • 1, 3-Diphenylprop-2-en-1-one
  • 4-Chloro-2-hydroxyacetophenone
  • 2, 4-Dichloroacetophenone
  • p-Hydroxyacetophenone
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• 5.

  4 statements are given below. Identify the incorrect statement:

  (A) Phenol has lower \( pK_a \) value than \( \text{p} \)-cresol.
  (B) 2-Chlorophenol is more acidic than phenol.
  (C) Ortho and para nitrophenols can be separated by steam distillation since \( \text{p} \)-Nitrophenol is more steam volatile than \( o \)-Nitrophenol.
  (D) Phenol on reaction with \( \text{Cr}_2\text{O}_7^{2-} / \text{H}^+ \) yields a conjugated diketone.

  • C
  • B
  • D
  • A
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• 6.

  Evaluate: $ \cot^{-1} \left( -\frac{3}{\sqrt{3}} \right) - \sec^{-1} \left( -\frac{2}{\sqrt{2}} \right) - \csc^{-1}(-1) - \tan^{-1}(1) $

  • \( \frac{\pi}{6} \)
  • \( -\frac{2\pi}{3} \)
  • \( 0 \)
  • \( \frac{\pi}{3} \)
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