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
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