List of top Questions asked in IIITH UGEE- 2025

Rice boils in about 10 minutes at sea level. What happens to the boiling time at mountains?
When an air cooler is used in a closed room, air is pulled through the cooler pads. Which thermodynamic process does the air approximately undergo?
An air cooler will work most efficiently under which condition?
Air blown out by an air cooler in a closed room approximately undergoes which process?
In summer, when an air cooler is used, the room temperature decreases. What is the primary thermodynamic process responsible for cooling?
For maximum cooling efficiency, an air cooler should be placed:
Two children observe soap bubbles in sunlight. Initially the bubble appears bluish, but after some time it turns yellowish.
Which of the following statements are correct?
I. The colour shifts towards higher wavelength.
II. Blue/violet colours disappear earlier than red.
III. For sufficiently thick bubbles, the bubble appears white.
An elliptical arch of a bridge has a horizontal span of 50 ft and a maximum height of 20 ft at the center. The bridge road is constructed 4 ft above the highest point of the arch.
If a point on the arch is 15 ft away from the center horizontally, find the vertical distance of this point from the bridge road.
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 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 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 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.
Explain the difference between work and energy. Give an example where work is done on an object, but its kinetic energy does not change.
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 concept of a limit. Why is it important in calculus?
Find the equation of the tangent line to the curve \( y = x^2 - 3x + 2 \) at the point \( (1, 0) \).
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?