Question

What should be the density of liquid in above problem ?

Answer 1

Weight of object = Sum of Bouyant Force due to both the liquids
mg = pLAnρg + (L - pL)Aρg
ALdg = pLAnρg + (L - pL)Aρg
Divide both sides by Ag
Ld = pLnρ + (L - pL)ρ
Ld = L[pnρ + (1 - p)ρ]
Divide both sides by L
d = pnρ + (1 - p)ρ
d = pnρ + ρ - pρ
d = {1 + (n - 1)p}ρ

(c) is the correct option.