Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
Q83 (NDA-I/2010) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

A vessel contains oil (density pj) over a liquid of density p2; a homogeneous sphere of volume V floats with half of its volume immersed in the liquid and the other half in oil. The weight of the sphere is

Result
Your answer: —  ·  Correct: B
Explanation

According to Archimedes' principle, the buoyant force acting on a floating object is equal to the weight of the fluid it displaces [1]. For an object floating in equilibrium, the weight of the object must equal the total buoyant force [1]. In this scenario, the sphere is submerged in two immiscible liquids: oil (density ρ1) and a liquid (density ρ2). The total buoyant force is the sum of the weights of the displaced fluids from each layer. Since half the volume (V/2) is in oil and the other half (V/2) is in the liquid, the buoyant force is (V/2)ρ1g + (V/2)ρ2g. Factoring out common terms, the total weight of the sphere is V(ρ1 + ρ2)g/2. This aligns with the principle that buoyancy depends on the density of the fluid and the volume displaced.

Sources

  1. [1] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 5: Exploring Forces > Activity 5.13: Let us investigate > p. 76
How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
25%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

NDA-II · 2009 · Q80 Relevance score: 5.77

l vessel contains oil of density 0.8 gm/cm3 over lercury of density 1 3.6 gm/cm 3. A homogeneous phere floats with half of its volume immersed in lercury and the other half in oil. The density of ne material of the sphere in CGS unit is

CDS-I · 2003 · Q85 Relevance score: -1.77

A solid floats in liquid A with half its volume immersed and in liquid B with 2/3'of its volume immersed. The densities of the liquids A and B are in the ratio of

CDS-I · 2012 · Q113 Relevance score: -2.78

A liquid is kept in a regular cylindrical vessel up to a certain height. If this vessel is replaced by another cylindrical vessel having half the area of cross- section of the bottom, the pressure on the bottom will—

IAS · 1999 · Q144 Relevance score: -3.07

A hemispherical bowl is filled to the brim with a beverage. The contents of a bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both bowl and cylinder, then the volume of the beverage in the, cylindrical vessel will be

CDS-II · 2018 · Q8 Relevance score: -3.25

If two miscible liquids of same volume but different densities Px and P2 are mixed, then the density of the mixture is given by