A cylinder of height 1m is floating in water at 0^(@)C with 20cm height in air. Now the temperature of water is raised to 4^(@)C, the height of the cylinder in air becomes 21cm. The ratio of density of water at 4^(@)C to that at 0^(@)C is (Consider expansion of the cylinder is negligible)

A cylinder of height 1m is floating in water at 0^(@)C with 20cm heigh

1.	A cylinder of height 1m is floating in water at 0^(@)C with 20cm height in air. Now the temperature of water is raised to 4^(@)C, the height of the cylinder in air becomes 21cm. The ratio of density of water at 4^(@)C to that at 0^(@)C is (Consider expansion of the cylinder is negligible)
Answer» 1.01 1.03 1.04 2.01 Solution :As cylinder floats in water, buoyant force BALANCES WEIGHT `:. MG= A L RHO g` where L= length of cylinder in water m,g, A are same `:. L rho`= constant `:. L_(4) rho_(4)= L_(0) rho_(0)` `:. (rho_(4))/(rho_(0)) = (L_(0))/(L_(4)) = ((100-20))/((100-21))` `:. (rho_(4))/(rho_(0)) = (80)/(79) = 1.01265` `:. (rho_(4))/(rho_(0))= 1.01`