A stone weighs 15gm in air and 12gm in water. Calculate the relative density and density?
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Answer
10
-
m =
Mass of solid
-
V =
Volume of solid
-
ρ
s
=
Density of solid
-
ρ
w
=
Density of water
-
g =
Acceleration due to gravity
-
F
b
=
Bouyant force (
= V ρ
w
g
)
In air
32
gf = mg = Vρ
s
g
...
[
∵
Mass = Volume × Density
]
Let’s call this as equation (1)
In water
28.8 gf = mg - F
b
28.8 gf = 32 gf – F
b
F
b
=
3.2 gf
Vρ
w
g = 3.2 gf
………(2)
Didvide equations (1) and (2)
V
ρ
s
g
V
ρ
w
g
=
32
gf
3.2
gf
=
10
Relative density is
RD
=
Density of solid
Density of water
=
ρ
s
ρ
w
=
10
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