Advertisements
Advertisements
Question
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]
Advertisements
Solution
Weight of solid in air = 0.08 kgf
Weight of solid in water = 0.065 kgf
Density of water = 1000 kgm3
(1) Relative density (RD) of solid
= Weight of solid in air
wt. of solid in air-wt. of solid in water
`= "Weight of solid in air"/("wt. of solid in air" - "wt. of solid in water")`
R.D. = `0.08/(0.08 - 0.065)`
R.D. = `0.08/0.015 = 5.3333`
(2) R.D. of solid = `"Density of solid"/"Density of water"`
`5.3333 = "Density of solid"/1000`
Density of solid = 5.3333 × 1000 = 5333.3 kgm-3
APPEARS IN
RELATED QUESTIONS
Complete the following sentence.
S.I. unit of density is .......... .
What do you understand by the term relative density of a substance?
Calculate the mass of a body whose volume is 2 m3 and relative density is 0.52.
A body weighs 20 gf in air and 18.0 gf in water. Calculate the relative density of the material of the body.
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 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.
An aluminium cube of side 5 cm and RD. 2.7 is suspended by a thread in alcohol of relative density 0.80. Find the tension in thread.
Calculate the mass of a body whose volume is 2m3 and relative density is 0.52.
