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A body of mass 70 kg, when completely immersed in water, displaces 20,000 cm3 of water. Find the relative density of material of the body. - Physics

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Question

A body of mass 70 kg, when completely immersed in water, displaces 20,000 cm3 of water. Find the relative density of the material of the body.
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Solution

When a body is completely immersed in water then it displaces an equal volume of water to its own weight.
So, the volume of the body = 20000 cm3.
 Mass of body = 70 kg = 70000 gm
Density of body = mass /volume = 70000/20000= 3.5 gm cm-3.
Density of water in C.G.S system = 1g cm-3.
Relative density of body = density of body /density of water =3.5 gm cm-3/1g cm-3.
Relative density = 3.5.

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Determination of Relative Density of a Solid Substance by Archimedes’ Principle
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Chapter 4: Fluids - Exercise 2 [Page 175]

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Frank Physics [English] Class 9 ICSE
Chapter 4 Fluids
Exercise 2 | Q 37 | Page 175

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