JEECUP Question Paper 2025 (Available): Download Solution Pdf with Answer Key

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?

• (A) 0.172°
• (B) 0.344°
• (C) 0.516°
• (D) 0.688°

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) 3.46 m/s²
• (B) 4.00 m/s²
• (C) 3.00 m/s²
• (D) 2.31 m/s²

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)

• (A) 415.7 J
• (B) 831.4 J
• (C) 207.8 J
• (D) 623.1 J

Which of the following molecules has a trigonal planar molecular geometry?

• (A) NH₃
• (B) BF₃
• (C) H₂O
• (D) CH₄

What is the IUPAC name of the compound CH₃-CH₂-CO-CH₃?

• (A) Butan-2-one
• (B) Propan-2-one
• (C) Butanal
• (D) Propanal

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?

• (A) 0.3125
• (B) 0.625
• (C) 1.25
• (D) 2.5

The roots of the quadratic equation x² - 5x + k = 0 are real and distinct. What is the range of values for k?

• (A) \( k < \frac{25}{4} \)
• (B) \( k > \frac{25}{4} \)
• (C) \( k \leq \frac{25}{4} \)
• (D) \( k \geq \frac{25}{4} \)

If sin θ + cos θ = √2, what is the value of sin θ · cos θ?

• (A) 1/4
• (B) 1/2
• (C) 1/√2
• (D) 1

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?

• (A) (4, 5)
• (B) (6, 7)
• (C) (3, 4)
• (D) (5, 6)

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) 2/15
• (B) 1/15
• (C) 4/45
• (D) 2/45