Q54 / 57 · KVPY 2019 (SA) · Physics
In an hour-glass approximately 100 grains of sand fall per second (starting from rest); and it takes for each sand particle to reach the bottom of the hour-glass. If the average mass of each sand particle is , then the average force exerted by the falling sand on the bottom of the hour-glass is close to
- Correct answerA
- B
- C
- D
Solution
Force = Rate of change of momentum

Velocity with which a sand particle strikes the bottom of hour-glass,
Change in momentum of particle
Momentum imparted to base by the particle
Total change of momentum imparted per second by all 100 particles
So, force on bottom
Hence, the correct answer is option: 'A'.