A body weighs 60 g in air. If its volume is 10cc in water, How much will it weigh in water?
Answers
Relative Density = (Weight of solid in air) / (Weigh of water displaced by the solid) ---------------------(1)
RD = (Wt of solid in air) / (Apparent loss of wt of the body in water)----------(2)
Where Apparent loss of wt of the body in water = ΔW = Wt of solid in air - Wt of solid in water
Given:
Wt of solid in air = 60 g
Volume of solid in water = 10 cc
From Archimedes Principle we know that Vol. of solid immersed = Vol. of liquid displaced
∴ 10 cc of water has been displaced
We know ρ(Density) = Mass/Vol.
ρ(Water) = 1 g / cc
∴ 1 g / cc = Mass(of water displaced) / 10 cc
Mass(of water displaced) = 10 g
Using equation (1)
RD = 60/10 = 6
Now using equation (2)
6 = 60 / ΔW
ΔW = 10 g = Wt of solid in air - Wt of solid in water
10 g = 60 g - W(Solid in water)
W(Solid in water) = 50 g
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