NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
A cone of radius R and height H, is hanging inside a liquid of density ρ by means of a string as shown in the figure. The force, due to the liquid acting on the slant surface of the cone is
Options
- Aρ π g H R 2
- Bπ ρ H R 2
- C4 3 π ρ g H R 2
- D2 3 π ρ g H R 2
Correct answer
D. 2 3 π ρ g H R 2
Step-by-step solution
Buoyoncy = force on base-force on slant surface (f y ) Force on slant surface = force on base-buoyancy Force on slant surface = π R 2 H ρ g - 1 3 π R 2 H ρ g Force on slant surface = 2 3 π R 2 H ρ g