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  • A leak proof cylinder of length , made of a metal which has very low coefficient of expansion is floating vertically in water at <img alt="0^{\circ}C" src="https://learn.caree

A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically in water at 0^{\circ}C such that its height above the water surface is 20cm. When the temperature of water is increased to 4^{\circ}C, the height of the cylinder above the water surface becomes 21cm. The density of water at T=4^{\circ}C, relative to the density at T=0^{\circ}C, is close to : 
Option: 1 1.03
Option: 2 1.01
Option: 3 1.26
Option: 4 1.04
 

Answers (1)

best_answer

 

 

As

Buoyant force-

  • The buoyant force is given as 

F_B=\rho Vg

Where FB=Buoyant force

         \rho= density of the fluid

            V= Volume of the solid body immersed in the liquid or Volume of the fluid displaced

 So

 

 

mg=V\rho g

\mathrm{mg}=\mathrm{A}(80) \mathrm{p}_{0^{\circ} \mathrm{C}} \mathrm{g}$ \\ $\mathrm{mg}=\mathrm{A}(79) \mathrm{\rho}_{4^{\circ} \mathrm{C}} \mathrm{g}$ \\ $\frac{\rho_{4^{\circ} \mathrm{C}}}{\rho_{0^{\circ} \mathrm{C}}}=\frac{80}{79}=1.01$

So the correct option is 2.

Posted by

vishal kumar

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