Question on: JAMB Physics - 2024
A hydrometer of mass y kg and volume 2y x 10-5 m3 floats in a fluid with 20% of its volume above the fluid. What is the density of the fluid?
A
6.22 x 104 kg/m³
B
6.23 x 104 kg/m³
C
6.24 x 104 kg/m³
D
6.25 x 104 kg/m³
Ask EduPadi AI for a detailed answer
Correct Option: D
1. Principle: A floating object displaces its weight in the fluid, meaning the buoyant force equals the weight of the hydrometer.
2. Submerged volume: 80% of total volume = 0.8 * (2y x 10-5 m³) = 1.6y x 10-5 m³
3. Weight of hydrometer: W = mass * g. Using buoyant force = weight: ρ_fluid * V_submerged * g = y * g → ρ_fluid = y / (1.6y x 10-5) ≈ 6.25 x 104 kg/m³
Add your answer
Please share this, thanks!
No responses