a piece of silver weight 66 gf in air 55 gf in water . find relative density of silver
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Answer:
Let us consider that D
w
and D be the density of water and solid respectively.
The actual weight of the solid is 32gf.
Apparent weight of the body = Actual weight - Buoyant force (V×D
w
×g).
Let V be the volume of the solid.
Density of water D
w
=1gcm
3
.
In this case, 28.8=mg−V×D
w
×g
That is, 28.8=32−V×1
Therefore, V=3.2cm
3
.
The density of the body is given as mass/Volume, that is 32/3.2=10gcm
3
.
The relative density of a solid is given as the ratio of the density of a substance to the density of a standard substance under specified conditions.
That is, Relativedensity=
Densityofwater
Densityofsolid
=
1gcm
3
10gcm
3
=10
Hence, X-4 = 10-4 = 6.
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