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Archimedes' Principle and Floating for JEE: 14 solved questions

Real JEE paper questions on archimedes' principle and floating, part of mechanical properties of fluids. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2008 to 2026. No sign-in needed to read them.

What this topic asks

• Floating and submerged bodies — 7 questions
• Two liquids, cavities and relative density — 7 questions

All 14 questions with solutions

• A cubical block of density ρ_b=600 kg m⁻³ floats in a liquid of density ρ_ℓ=900 kg m⁻³. If the height of the… JEE Main 24th Jan 1st Shift 2026
• A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the… JEE Main 28th Jan 2nd Shift 2025
• An air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s⁻². The density of water is 1 gm cm⁻… JEE Main 4th Sept 1st Shift 2020
• A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight… JEE Main 10th April 2nd Shift 2019
• A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertica… JEE Main 2013
• A tub is filled with water and a wooden cube 10 cm×10 cm×10 cm is placed in the water. The wooden cube is fou… JEE Main 2nd April 1st Shift 2026
• A cube having a side of 10 cm with unknown mass and a 200 g mass were hung at the two ends of a light rigid r… JEE Main 8th April 2nd Shift 2025
• A cube of ice floats partly in water and partly in kerosene oil, as shown in the figure: the kerosene oil for… JEE Main 8th April 2nd Shift 2024
• A sphere of relative density σ and diameter D has a concentric cavity of diameter d. The ratio D/d, if it jus… JEE Main 9th April 1st Shift 2024
• A hollow spherical shell of outer radius R floats just submerged under the water surface. The inner radius of… JEE Main 5th Sept 1st Shift 2020
• Consider a solid sphere of radius R and mass density ρ(r)=ρ₀(1-(r²)/(R²)), 0<r≤ R. The minimum density of a l… JEE Main 8th Jan 1st Shift 2020
• A wooden block floating in a bucket of water has 4/5 of its volume submerged. When a certain amount of an oil… JEE Main 9th April 1st Shift 2019
• A ball is made of a material of density ρ, where ρₒᵢₗ<ρ<ρ_water, with ρₒᵢₗ and ρ_water representing the densi… AIEEE 2010
• A jar is filled with two non-mixing liquids 1 and 2 having densities ρ₁ and ρ₂ respectively. In the figure, l… AIEEE 2008