NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
A sphere of radius R is gently dropped into a liquid of viscosity η in a vertical uniform tube. It attains a terminal velocity v . Another sphere of radius 2 R when dropped into the same liquid, will attain a terminal velocity
Options
- Av
- B2 v
- C4 v
- D9 v
Correct answer
C. 4 v
Step-by-step solution
Terminal velocity v = 2 9 × r 2 ρ - σ g η Hence terminal velocity v ∝ r 2 ∴ v ' v = 2 R 2 R 2 or v ' = 4 v