Advertisements
Advertisements
प्रश्न
An iceberg floats in sea water of density 1.17 g cm 3, such that 2/9 of its volume is above sea water. Find the density of iceberg.
Advertisements
उत्तर
Density of sea water =ρw = 1.17 g cm-3
Density of solid ice berg =ρi = ?
`2/9`th volume of an iceberg is above the seawater
∴ Volume of iceberg inside water = `"V"_"i" = (1 - 2/9)"V"`
Where V = Total volume of an iceberg
`=> "V"_"i" = (9 - 2)/9"V" = 7/9"V"`
⇒ Volume of sea water displaced by immersed part of the iceberg
`= "V"_"w" = 7/9"V"`
By law of floatation:
Weight of iceberg = Weight of sea water displaced by iceberg
`"V"_"i" xx rho_"i" xx "g" = "V"_"w" xx rho_"w" xx "g"`
`"V" xx rho_"i" = 7/9 "V" xx 1.17`
`=> rho_"i" = 7/9 xx 1.17 = 0.91 "gcm"^-3`
⇒ Density of iceburg = 0.91 g cm-3
APPEARS IN
संबंधित प्रश्न
A solid of density 5000 kg m-3 weighs 0.5 kgf in air. It is completely immersed in water of density 1000 kg m-3. Calculate the apparent weight of the solid in water.
How are the (i) Mass, (ii) Volume and (iii) Density of a metallic piece affected, if at all, with an increase in temperature?
What is the unit of relative density?
Differentiate between density and relative density of a substance.
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:
- The weight of the piece of stone in air,
- The volume of the piece of stone,
- The relative density of stone,
- 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 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 cube of the lead of side 8 cm and R.D. 10.6 is suspended from the hook of a spring balance. Find the reading of spring balance. The cube is now completely immersed in sugar solution of R.D. 1.4. Calculate the new reading of spring balance.
A body of volume 100 cm3 weighs 1 kgf in air. Calculate its weight in water. What is its relative density?
