NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
A hollow sphere of mass M and radius R is immersed in a tank of water (density ρ w ). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle 45 ° with the horizontal as shown in the diagram. The tension T 1 in the wire is
Options
- A4 3 π R 3 ρ w g - M g 2
- B2 3 π R 3 ρ w g - M g
- C4 3 π R 3 ρ w g - M g 2
- D4 3 π R 3 ρ w g + M g
Correct answer
A. 4 3 π R 3 ρ w g - M g 2
Step-by-step solution
∴ 2 T 1 + M g = 4 3 π R 3 ρ w g ∴ T 1 = 4 3 π R 3 ρ w g - M g 2