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CBSE Class 9 Answered

A solid of weighs 2.10 in air. Its relative density is 8.4. how much will the body weigh if (1) in water (2) in liquid of relative density 1.2?
Asked by baneetkumar67 | 29 Aug, 2018, 04:59: PM
answered-by-expert Expert Answer
Please check a similar question that was already answered by our Physics expert:
 
Question:
 
A solid weighs 30gf in air and 26gf when completely immersed in a liquid of relative density 0.8. find (1)the volume of solid and(2)the relative density of solid.
 
Solution:
 
Let V be the volume of the solid.
Given relative density of the liquid =0.8
Weight of the solid in air = 30 gf
Weigth of the solid in liquid = 26 gf
We know that the loss in weight of the solid when immersed in liquid = The weight of the liquid displaced.  ----------(1)
Weight of the liquid displaced = Volume of the liquid displaced × Relative density of the liquid
  = V × 0.8   -----------------------(2)
(2) in (1) gives:
Loss in weight of the solid when immersed in liquid = 0.8 V  ----(3)
Loss in weight of the solid when immersed in liquid = (30 -26)gf = 4 gf   
Substituting in (3) we get:
4 = 0.8 V
i.e V =4 /0.8 = 5 cm3
(1) Therefore the volume of the solid  = 5 cm3
Density of the solid = Mass / volume
 = 30 gf / 5 cm3
 =6 g/cm3
(2) Relative density of the solid =Density of the solid / Density of water
 = (6 g /cm3) /(1 g /cm3)
 = 6 g/cm3
Relative density of the solid = 6 g/cm3

Answered by Abhijeet Mishra | 29 Aug, 2018, 06:06: PM
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