Question bank/JEE Main/Physics

JEE MainPhysicsModerateMechanical Properties of Fluids

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 0°C

such that its height above the water surface is 20 cm. When the

temperature of water is increased to 4°C, the height of the cylinder

above the water surface becomes 21 cm. The density of water at T = 4°C,

relative to the density at T = 0°C is close to

Show answer and solution
mg=A(79)ρ4∘Cgmg = A(79)\rho_{4^{\circ}C}g
ρ4∘Cρ0∘C=8079=1.01\frac{\rho_{4^{\circ}C}}{\rho_{0^{\circ}C}} = \frac{80}{79} = 1.01

Source: Grass-G / P-24 Physcis Paper 31 Dec.docx

Need a video for this idea?

Scan any doubt from your notes and get a whiteboard explanation.