To make a candle float stably in water in vertical orientation an aluminium cylinder of radius equal to that of the candle is glued. Length of cylinder is ℓ a = 1.0 cm and densities of wax, aluminiu

Question

To make a candle float stably in water in vertical orientation an aluminium cylinder of radius equal to that of the candle is glued. Length of cylinder is ℓ a ​ = 1.0 cm and densities of wax, aluminium and water are ρ = 0.8 g / cm 3 ρ a ​ = 2.7 g / cm 3 and ρ 0 ​ = 1 g / cm 3 respectively. Choose the length of candle so that it can float in water stably

TestHub · Accepted Answer

For stable equilibrium centre of buoyancy must lies above centre of mass $\frac{y}{2} > \frac{m _{1}}{m _{1} + m _{2}} (\frac{x}{2} + \frac{1}{2}) + \frac{1}{2}$

For floatation $AY ρ_{0} g = Ax ρ g + A l ρ_{a} g$ Elliminating y we get

Hence possible value of x must lies between 1 cm and 19 cm.

Physics - Fluid Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion