Please please please explain each step in detail Q 6 The velocity of the liquid coming out - Physics - Mechanical Properties Of Fluids

Question

Please please please explain each step in detail

Q 6 The velocity of the liquid coming out
of a small hole of a large vessel containing two different liquids
of densities 2 ρ   a n d   ρ as shown in figure
is

( A )   6   g h            
                 
        ( B )     2 g h    
                 
              ( C )  
  2 2   g h            
                 
          ( D )     g h

Decoder_2 · Accepted Answer

Dear Student,pressure at terminal of two liquids will be,P1=Patm+ρg(2h)Since the hole is small and the vessel drains slowly, we can say v₁ ≈ 0
 Now applying Bernoulli's theorem between the terminal and the bottom of the vessel we get,2ρgh+0+(2ρ)gh=(0)+12×2ρν2+0⇒ν2=4gh⇒v=2ghRegards

Please please please explain each step in detail Q.6. The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities 2 ρ a n d ρ as shown in figure is ( A ) 6 g h ( B ) 2 g h ( C ) 2 2 g h ( D ) g h

Please please please explain each step in detail

Q.6. The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities $2 ρ a n d ρ$ as shown in figure is

$(A) \sqrt{6 g h} (B) 2 \sqrt{g h} (C) 2 \sqrt{2 g h} (D) \sqrt{g h}$