Pressure at interface A must be same from both the sides to be in equilibrium. 
∴(Rcosθ+Rsinθ)ρ2 g=(Rcosθ−Rsinθ)ρ1 g ⇒ρ2ρ1=cosθ−sinθcosθ+sinθ=1−tanθ1+tanθ ⇒ρ1−ρ1tanθ=ρ2+ρ2tanθ ⇒(ρ1+ρ2)tanθ=ρ1−ρ2 ∴θ=tan−1(ρ1+ρ2ρ1−ρ2), soclosest answer is (a)