Mechanical Prop...

An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm³ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure 70 cm of Hg and density of Hg = 13.6 g/cm³)

Density of ice is ρ and that of water is σ . What will be the decrease in volume when a mass M of ice melts ?

A jar is filled with two non-mixing liquids 1 and 2 having densities ρ₁ and ρ₂ respectively. A solid ball,made of a material of density ρ₃, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ρ₁ , ρ₂ and ρ₃ ?

A body of density d₁ is counterpoised by Mg of weights of density d₂ in air of density d. Then, the true mass of the body is

A closcd rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is (j) maximum at and (ii) minimum at

The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel, is equal to

A liquid X of density 3.36 g/cm³ is poured in a U-tube, which contains Hg. Another liquid Y is pourcd in left arm with height 8 cm, upper levels of X and Y are same. What is density of Y?

Three liquids of equal masses are taken in three identical cubical vessels A, B and C. Their densities are ρ_A, ρ_B and ρ_C respectively. But ρ_A < ρ_B < ρ_C.The force exerted by the liquid on the base of the cubical vessel is

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ρ_c is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is

In which one of the following cases will the liquid flow in a pipe he most streamlined?