900 grams of lead can be added max to the tin so that it does not sink.
Explanation:
According to the Archimedes principle, an object will not sink in a medium until the density of the object exceeds the density of the medium.
The medium we have is water.
The density of medium(water) is given as ρ° = 1 g/cm³
Density of an object is simply its mass contained per unit volume.
Density = mass/volume
Volume of the tin = v = 1000 cm³
Mass of the tin = m = 100 g
Mass of lead that can be added without sinking = x
Total mass after adding lead in the tin = Mt = m + x
Total density after lead is added to the tin is given as:
ρt = (m+x)/v
Now, according to Archimedes principle, lead can be added to the tin until the density of tin is equal to the density of water.
ρt = ρ°
Mt/v = ρ°
(m + x)/v = ρ°
⇒ (100 + x)/1000 = 1
⇒ 100 + x = 1000
⇒ x = 1000 - 100
x = 900 g
Keyword: Archimedes principle
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