Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Weight of solid in air , W1 = 32 gf
Weight of solid when completely immersed in water W2 = 28.8 gf
(i) Volume of solid = Mass / density of solid
= `32/10` = 3.2 m3
(ii) R.D. of solid = `W_1/(W_1 - W_2) xx "R.D. of water"`
R.D. of solid = `32/(32 - 28.8) xx 1`
R.D. of solid = 10
(iii) Weight of solid in liquid fo density 0.9 gcm-3 = W3
R.D. of solid = = `W_1/(W_1 - W_3) xx "R.D. of liquid"`
or , 10 = `32/(32 - W_3) xx 0.9`
or , `W_3` = 29.12 gf
APPEARS IN
संबंधित प्रश्न
A body of volume V and density ρ is kept completely immersed in a liquid of density ρL. If g is the acceleration due to gravity, then write expressions for the following:
(i) The weight of the body, (ii) The upthrust on the body,
(iii) The apparent weight of the body in liquid, (iv) The loss in weight of the body.
A sphere of iron and another sphere of wood of the same radius are held under water. Compare the upthrust on the two spheres.
[Hint: Both have equal volume inside the water].
Complete the following sentence.
S.I. unit of density is .......... .
The unit of relative density is :
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 of area of cross-section 0.004 m2 and length 0.60 m is completely immersed in water of density 1000 kgm3. Calculate:
- Wt of solid in SI system
- Upthrust acting on the solid in SI system.
- Apparent weight of solid in water.
- 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 body of volume 100 cm3 weighs 1 kgf in air. Calculate its weight in water. What is its relative density?
