Advertisements
Advertisements
Question
A body of volume 100 cm3 weighs 1 kgf in air. Find:
- Its weight in water and
- Its relative density.
Advertisements
Solution
Volume of body = 100 cm3
Weight in air, W1 = 1 kgf = 1000 gf
Mass of body = 1 kg = 1000 g
R.D. of solid = 10
R.D. of water = 1
(i) Let W2 be the weight of the body in water.
R.D. of body = `W_1/(W_1 - W_2) xx "R.D. of water"`
or , 10 = `1000/((1000 - W_2)) xx 1`
or, 10(1000 - W2) = 1000
or, 1000 - W2 = 100
or, W2 = 900 gf = 0.9 kgf
(ii) R.D. of body = Density in C.G.S. (without unit)
or, R.D. = `"Mass"/"Volume" = 1000/100 = 10`
APPEARS IN
RELATED QUESTIONS
How are the (i) Mass, (ii) Volume and (iii) Density of a metallic piece affected, if at all, with an increase in temperature?
Complete the following sentence.
Density in kg m-3 = ............ × density in g cm-3
What do you understand by the term relative density of a substance?
A solid weighs 1.5 kgf in air and 0.9 kgf in a liquid of density 1.2 × 103 kg m-3. Calculate R. D. 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 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 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.
Calculate the mass of a body whose volume is 2m3 and relative density is 0.52.
A body of volume 100 cm3 weighs 1 kgf in air. Calculate its weight in water. What is its relative density?
