IIITH UGEE 2023 Question Paper with Answer Key PDF

IIITH UGEE Questions

• 1.

  You are given a sequence of numbers: 2, 5, 10, 17, ... Identify the pattern and find the next three terms in the sequence. Can you express the nth term of this sequence in a general formula?

  • 26, 37, 50, \( n^2 + 1 \)
    
  • 26, 41, 58, \( n^2 + 1 \)
    
  • 26, 39, 54, \( n^2 + 1 \)
    
  • 27, 42, 59, \( n^2 + 1 \)
    
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• 2.

  Explain the difference between work and energy. Give an example where work is done on an object, but its kinetic energy does not change.

  • Work is done only when a force moves an object, while energy is the capacity to do work.
    
  • Work and energy are the same.
    
  • Work does not involve force, while energy involves force.
    
  • Energy is a type of work done on an object.
    
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• 3.

  A graph shows the velocity of an object as a function of time. Describe the motion of the object in detail, including its acceleration and displacement, at different points in time. What does the area under the curve represent?

  • Acceleration is constant, and displacement is calculated using the area.
    
  • Acceleration is variable, and displacement is zero.
    
  • The velocity graph gives the displacement and acceleration directly.
    
  • The area under the curve gives velocity, while the slope gives displacement.
    
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• 4.

  You are given a set of experimental data for a chemical reaction, including the concentrations of reactants and products at different times. Determine the order of the reaction and the rate constant.

  • First order, rate constant = 0.5
    
  • Second order, rate constant = 1.2
    
  • First order, rate constant = 1.5
    
  • Zero order, rate constant = 0.8
    
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• 5.

  Explain the difference between a strong acid and a weak acid. How does the pH of a solution change when a strong acid is added compared to a weak acid?

  • A strong acid dissociates completely, while a weak acid only partially dissociates.
    
  • Strong acids have higher pH than weak acids.
    
  • Weak acids produce fewer hydronium ions than strong acids.
    
  • Both A and C are correct.
    
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• 6.

  Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, —–, 47

  • 34
    
  • 31
    
  • 38
    
  • 27
    
  • None of these 
     

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