Question

Two substances of densities and 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 $p_1$ and $p_2$

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is A

When substances are mixed in equal volume then density = $\frac{p_1+p_2}{2}=4\Rightarrow p_1+p_2=8$ ....(i)

When substances are mixed in equal masses then density = $\frac{2p_1{p}_2}{p_1+p_2}=3\Rightarrow 2p_1{p}_2=3(p_1+p_2)$ .....(ii)

By solving (i) and (ii) we get \( p_{1}\)= 6 and , $p_2=2$.