1.

A metallic sphere weighs `210g` in air, 180 g in water and 120 g in an unknown liquid. Find the density of metal and of liquid.

Answer» Correct Answer - C
Relative density of metal
`=("weight in air")/("change in weight of water")=(210)/(210-180)=7`
`:.` Density of metal`=7g//cm^(2)`
Change in weight in a liquid =upthrust in liquid
`=(V_("solid")) (rho_("liquid"))g`
or, `Delta w prop rho_(liquid)`
`:. (Delta w_(l))/(Delta w_(w))=(rho_(l))/(rho_(w))`
`rho_(l)=(Deltaw_(l))/(Deltaw_(w)) rho_(w)`
`((210-120)/(210-180))(1)gm//cm^(3)`
`=3g//cm^(3)`


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