Student Login

Home›Chapters›Fluid Statics PYQs›Archimedes' Principle & Floatation›Question 9

JEE Main 2024 (8 Apr, Shift 2) · Archimedes' Principle & Floatation

Archimedes' Principle & Floatation question from JEE Main 2024 (8 Apr, Shift 2)

Q9JEE Main 2024 · 8 APR · SHIFT 2Medium

Archimedes' Principle & Floatation

A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil = 0.8, specific gravity of ice = 0.9):

Show answer and solution

Answer: (d)

Let $V_w$ , $V_k$ be the volumes in water and kerosene, $V = V_w + V_k$ .
Weight = upthrust: $0.9\,V = 1 \cdot V_w + 0.8\,V_k$
$0.9(V_w + V_k) = V_w + 0.8 V_k \Rightarrow 0.1 V_k = 0.1 V_w$
$V_w : V_k = 1 : 1$ , so the answer is (d).

Report a mistake

More questions on Archimedes' Principle & Floatation

A hemispherical portion of radius ' R ' is removed from the bottom of a cylinder of…MHT CET 2024 (4 May, Shift 2)
The fundamental frequency of a sonometer wire carrying a block of mass ' M ' and density…MHT CET 2023 (13 May, Shift 1)
A body of density ' ρ ' is dropped from rest at a height ' h ' into a lake of density ' σ…MHT CET 2023 (11 May, Shift 1)
A body of density V is dropped from (at rest) height ' h ' into a lake of density ' δ '…MHT CET 2021 (20 Sep, Shift 2)
Consider a solid sphere of radius R and mass density ρ(r) = ρ₀ (1 - (r²)/(R²)), 0 < r ≤ R…JEE Main 2020 (8 Jan, Shift 1)
A hollow spherical shell of outer radius R floats just submerged under the water surface…JEE Main 2020 (5 Sep, Shift 1)
A leak proof cylinder of length 1m, made of a metal which has very low coefficient of…JEE Main 2020 (8 Jan, Shift 1)
A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density…JEE Main 2020 (4 Sep, Shift 1)