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What is the Unit of Relative Density? - Physics

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Question

What is the unit of relative density?

One Line Answer

Solution

Relative density is the ratio of two similar quantities; thus, it has no unit.

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Determination of Relative Density of a Solid Substance by Archimedes’ Principle
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Chapter 5: Upthrust in Fluids, Archimedes’ Principle and Floatation - Exercise 5 (B) [Page 116]

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Selina Concise Physics [English] Class 9 ICSE
Chapter 5 Upthrust in Fluids, Archimedes’ Principle and Floatation
Exercise 5 (B) | Q 10 | Page 116

RELATED QUESTIONS

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].


A sphere of iron and another of wood, both of same radius are placed on the surface of water. State which of the two will sink? Give a reason for your answer. 


How does the density of material of a body determine whether it will float or sink in water? 


What do you understand by the term relative density of a substance?


Relative density of a substance is expressed by comparing the density of that substance with the density of : 


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:

  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 body of volume 100 cm3 weighs 1 kgf in air. Calculate its weight in water. What is its relative density?


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