What mass of lead will weigh as much as 8g of iron when both are immersed in water (RD of lead =11& iron=8)
Given: Mass of the sinker = 40 g
Density of the sinker (lead) = 11.0 g cm–3
(i) Volume of sinker = Mass / Volume
= 40 g/11.0 g cm–3
= 3.64 cm3
(ii) Loss in weight of sinker when immersed in water = Weight of water displaced by the sinker
= Volume of sinker × density of water × g
= 3.64 × 1
= 3.64 gf
(iii) Weight of sinker in water = Weight of sinker in air – Loss in weight
= 40 – 3.64
= 36.36 gf
(iv) Weight of cork in water = Weight of cork together with the sinker in water – Weight of sinker in water
= 11.5 – 36.36
= – 24.86 gf
(v) Loss in weight of cork in water = Weight of cork in air – Weight of cork in water
= 6.5 – (– 24.86)
= 31.36 gf
(vi) R.D. of cork = (Weight of cork in air) / (Loss in weight of cork)
= 6.5/31.36
= 0.21