JEE Main 2019PhysicsMechanical Properties of FluidsHardMCQ

JEE Main 2019 — Mechanical Properties of Fluids Question with Solution

JEE Main 2019 (09 Apr Shift 2)

Question

A wooden block floating in a bucket of water has 45 of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the block is just under the oil surface with half of its volume under water and half in oil. The density of oil relative to that of water is:

Choose an option

Show full solutionCorrect option: D
Correct answer
D0.6

Step-by-step explanation

Case-1, σ Vg=ρw45Vg …….(I)
Case-2, σ Vg=ρwV2g+ρoV2g …….(II)
From eq (I) & (II),
45ρw=ρw2+ρo2
45-12ρw=ρo2
8-510ρw=ρo2
ρoρw=35=0.6

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About this question

This is a previous-year question from JEE Main 2019, 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.