(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

A piece of stone of mass 15.1 g is first immersed in a liquid and it weighs 10.9 gf. Then on immersing the piece of stone in water, it weighs 9.7 gf. Calculate:

1. The weight of the piece of stone in air,
2. The volume of the piece of stone,
3. The relative density of stone,
4. The relative density of the liquid.

A body weighs 20 gf in air and 18.0 gf in water. Calculate the relative density of the material of the body. 

A solid weighs 120 gf in air and and 105 gf when it is completely immersed in water. Calculate the relative density of solid. 

A solid weighs 32 gf in air and 28.8 gf in water. Find: (i) The volume of solid, (ii) R.D. of solid and (iii) The weight of solid in a liquid of density 0.9 g cm^-3. 

A piece of stone of mass 113 g sinks to the bottom in water contained in a measuring cylinder and water level in cylinder rises from 30 ml to 40 ml. Calculate R.D. of stone.

A body of volume 100 cm³ weighs 1 kgf in air. Find:

1. Its weight in water and
2. Its relative density.

A body of mass 70 kg, when completely immersed in water, displaces 20,000 cm³ of water. Find: (i) The weight of body in water and (ii) The relative density of material of the body. 

A stone of density 3000 kgm³ is lying submerged in water of density 1000 kgm³. If the mass of stone in air is 150 kg, calculate the force required to lift the stone. [g = 10 ms²]

A solid of area of cross-section 0.004 m² and length 0.60 m is completely immersed in water of density 1000 kgm³. Calculate:

1. Wt of solid in SI system
2. Upthrust acting on the solid in SI system.
3. Apparent weight of solid in water.
4. Apparent weight of solid in brine solution of density 1050 kgm³.
   [Take g = 10 N/kg; Density of solid = 7200 kgm³]

A solid of density 7600 kgm³ is found to weigh 0.950 kgf in air. If 4/5 volume of solid is completely immersed in a solution of density 900 kgm³, find the apparent weight of solid in a liquid.

A glass cylinder of length 12 x 10^-2 m and area of cross­section 5 x 10^-4 m² has a density of 2500 kgm^-3. It is immersed in a liquid of density 1500 kgm^-3, such that 3/8. of its length is above the liquid. Find the apparent weight of glass cylinder in newtons.

A solid weighs 0.08 kgf in air and 0.065 kgf in water. Find
(1) R.D. of solid
(2) Density of solid in SI system. [Density of water = 1000 kgm³]

A solid of R.D. = 2.5 is found to weigh 0.120 kgf in water. Find the wt. of solid in air.

State its value in C.G.S. as well as in S.I. system.

A solid of R.D. 4.2 is found to weigh 0.200 kgf in air. Find its apparent weight in water.

When is the acceleration due to gravity positive?