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Question

Density of a mixture is ρ, when fluids of densities ρ1and ρ2 are mixed in the same proportion. Then:
  1. ρ=ρ1+ρ22
  2. ρ=2ρ1ρ2ρ1+ρ2
  3. ρ=ρ21ρ2
  4. ρ=ρ22ρ1


Solution

The correct option is A ρ=ρ1+ρ22
As we know,
ρmixture=Total massTotal volume
[mass = volume×density]
Let volume of each liquid be v. [equal proportion]

ρ=(ρ1×v+ρ2×v)v+v
ρ=(ρ1+ρ2)v2v
ρ=(ρ1+ρ22)

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