Physics Mock Test (Hard)

1. A particle moves with position function s(t) = t³ − 6t² + 9t. At what time is acceleration zero?

2. Two capacitors of 3 µF and 6 µF are connected in series. What is their equivalent capacitance?

3. A projectile launched at 30° to the horizontal has range R. If launched at 60° with the same speed, its range will be:

4. In Young’s double-slit experiment, if slit separation is doubled, the fringe width:

5. A 2 kg mass moving at 3 m/s collides elastically with a stationary 4 kg mass. What is the final velocity of the 2 kg mass?

6. The de Broglie wavelength of an electron accelerated through 100 V is approximately:

7. A Carnot engine operates between 400 K and 300 K. Its efficiency is:

8. In a hydrogen atom, the transition emitting the shortest wavelength in Balmer series is from n = ∞ to:

9. A 0.5 m long wire carrying 4 A current is placed perpendicular to a 0.2 T magnetic field. The force on the wire is:

10. The half-life of a radioactive element is 10 days. What fraction remains after 30 days?