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Question

A sample of metal weighs 210 gm in air, 180 gm in water and 120 gm in liquid. Then relative density (RD) of


A

Metal is 7, Liquid is 3

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B

Metal is 3,Liquid is 7

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C

Metal is 4,Liquid is 9

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D

Metal is 9,Liquid is 4

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Solution

The correct option is A

Metal is 7, Liquid is 3


Density of metal = ρ, Density of liquid = σ

If V is the volume of sample then according to problem

210 = Vρg ..........(i)

180 = V(ρ1)g ...........(ii)

120 = V(ρσ)g ...........(iii)

By solving (i), (ii) and (iii) we get ρ = 7 and σ = 3


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