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JEE Main · 2020 · 08 Jan 2020 · Shift 1 · Fluid Mechanics

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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 such that its height above the water surface is 20 cm . When the temperature of water is increased to , the height of the cylinder above the water surface becomes 21 cm . The density of water at , relative to the density at is close to:
  1. (A)1.01✓ Correct
  2. (B)1.26
  3. (C)1.04
  4. (D)1.03

Answer: (A)

Solution

A floating cylinder carries a weight equal to the buoyant force, which depends on the submerged length and the liquid density. At , , and at , . Equating the two gives .

JEE Main · 2020 · 08 Jan 2020 · Shift 1 · Single correct option

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