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Question

Two substances of densities ρ1 and ρ2 are mixed in equal volume and the relative density of mixture is 4. When they are mixed in equal masses, the relative density of the mixture is 3. The values of ρ1 and ρ2 are :

A
ρ1=6 and ρ2=2
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B
ρ1=3 and ρ2=5
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C
ρ1=12 and ρ2=4
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D
None of these
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Solution

The correct option is A ρ1=6 and ρ2=2
When substances are mixed in equal volume then density =ρ1+ρ22=4

ρ1+ρ2=8...(i)

when substances are mixed in equal masses then density

2ρ1ρ2ρ1+ρ2=3

2ρ1ρ2=3(ρ1+ρ2)...(ii)

On solving (i) and (ii) we get

ρ1=6;ρ2=2

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