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Q.

Equal volumes of two immiscible liquids of densities ρ  and 2ρ  are filled in a vessel as shown in figure. Two small holes are puncherd at depths h/2 and 3 h/2 from the surface of lighter liquid. If v1  and v2  are the velocities of efflux at these two holes, then v1 /v2  is

 

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a

122

b

12

c

14

d

12

answer is D.

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Detailed Solution

v1=2g(h2)=gh 

From Bernoulli’s theorem

ρgh+2ρg(h2)=12(2ρ)v22

v2=2gh         

       v1v2=12

 

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