JEE Main 2020PhysicsMechanical Properties of FluidsHardMCQ

JEE Main 2020 — Mechanical Properties of Fluids Question with Solution

JEE Main 2020 (08 Jan Shift 1)

Question

A leak proof cylinder of length 1 m, made of a metal which has very low coefficient of expansion is floating vertically in water at 0oC such that its height above the water surface is 20 cm. When the temperature of water is increased to 4oC, the height of the cylinder above the water surface becomes 21 cm. The density of water at T=4oC, relative to the density at T=0oC is close to:

Choose an option

Show full solutionCorrect option: C
Correct answer
C1.01

Step-by-step explanation


According to Archemedes Principle, weight of the body is balanced by the upward thrust force due to buoyancy.

At 0°C, mg=A(100-20)ρ0°Cg, where A is area of cross-section of cylinder and ρ0°C is density of water at 0°C.
At 4°C, mg=A(100-21)ρ4°Cg, where ρ4°C is density of water at 4°C.
ρ4°Cρ0°C=8079=1.01

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About this question

This is a previous-year question from JEE Main 2020, covering the Mechanical Properties of Fluids chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.