Fluid MechanicsMedium
Question
A wooden cube first floats inside water when a 200 g mass is placed on it. When the mass is removed the cube is 2 cm above water level. The side of cube is : -
Options
A.5 cm
B.10 cm
C.15 cm
D.20 cm
Solution
Let mass of cube is m and side is a then
(m + 200)g = a3 ρwg ...... (i)
mg = a2(a - 2) ρwg ......(ii)
⇒ a2(a - 2) ρw + 200 = a3 ρw
⇒ a2 = 100 ⇒ a = 10 cm
(m + 200)g = a3 ρwg ...... (i)
mg = a2(a - 2) ρwg ......(ii)
⇒ a2(a - 2) ρw + 200 = a3 ρw
⇒ a2 = 100 ⇒ a = 10 cm
Create a free account to view solution
View Solution FreeMore Fluid Mechanics Questions
A hole is made at the bottom of a large vessel open at the top. If water is filled to a height h, it drains out complete...Air is streaming past a horizontal aeroplane wing such that its speed is 120 m/s over the upper surface and 90 m/s at th...A water tank stands on the roof of a building as shown in the figure. Then the value of h for which the distance covered...A tank of height 5 m is full of water. There is a hole of cross sectional area 1 cm2 in its bottom. The initial volume o...A U-tube of base length ″lτ filled with same volume of two liquids of densities ρ and 2ρ is moving...