List of top Questions asked in JEECUP- 2025

A gas undergoes an isothermal process at 300 K, and its volume increases from 2 L to 4 L. If the initial pressure is 2 atm, what is the work done by the gas? (R = 8.314 J/mol·K, assume 1 mole)
What is the IUPAC name of the compound CH₃-CH₂-CO-CH₃?
A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are red?
A point P divides the line segment joining A(2, 3) and B(8, 9) in the ratio 1:2. What are the coordinates of P?
If sin θ + cos θ = √2, what is the value of sin θ · cos θ?
The roots of the quadratic equation x² - 5x + k = 0 are real and distinct. What is the range of values for k?
For the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g), the equilibrium constant Kc is 0.5 at 400 K. If [N₂] = 0.1 M, [H₂] = 0.2 M, and [NH₃] = 0.05 M, what is the reaction quotient Qc?
Which of the following molecules has a trigonal planar molecular geometry?
A block of mass 5 kg is placed on a frictionless surface and pushed with a force of 20 N at an angle of 30° to the horizontal. What is the acceleration of the block?
A light wave of wavelength 600 nm passes through a double-slit apparatus with a slit separation of 0.2 mm. What is the angular separation (in degrees) of the first-order bright fringe?