List of top Questions asked in IIITH UGEE- 2025

Find the equation of the tangent line to the curve \( y = x^2 - 3x + 2 \) at the point \( (1, 0) \).
A block of mass 2 kg is placed on a rough inclined plane at an angle of 30 degrees. The coefficient of friction between the block and the plane is 0.2. If the block is released from rest, will it slide down the plane? Justify your answer with calculations.
You are given 100 mL of a 0.1 M solution of HCl and 200 mL of a 0.2 M solution of NaOH. Calculate the pH of the resulting solution after mixing the two solutions.
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?
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?
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.
Explain the concept of a limit. Why is it important in calculus?
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?
Explain the difference between work and energy. Give an example where work is done on an object, but its kinetic energy does not change.