A wide vessel in a small hole at the bottom is filled with water (density d1 , height h1 ) and kerosene (density d2 , height h2 ). Neglecting viscosity effects , the speed with which water flows out is : answer is {2g(h1+h2(d1/d2)}^1/2 please explain...

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A wide vessel in a small hole at the bottom is filled with water (density d1 , height h1 ) and kerosene (density d2 , height h2 ). Neglecting viscosity effects , the speed with which water flows out is : answer is {2g(h1+h2(d1/d2)}^1/2 please explain...

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A wide vessel in a small hole at the bottom is filled with water (dens...

Consider a wide vessel with a hole in the bottom as shown in the diagram. As the density of the water is greater than the density of the kerosene, it will collect at the bottom.

Let the height of water and kerosene be h1 and h2 respectively and their corresponding densities be ρ1 and ρ2

The pressure due to water and kerosene level together would be h1 ρ1 g + h2 ρ2 g

As the water flows from the hole at the bottom of the vessel, there is a kinetic energy involved which is 1/2 ρ1 v2

Hence, h1 ρ1 g + h2 ρ2 g = 1/2 ρ1 v2

Divide throughout by ρ1 , we get h1 g + h2 (ρ2 / ρ1) g = 1/2 v2

Hence, v = [ 2 (h1 + h2 (ρ2 / ρ1) ) g ]1/2

Substituting the values of h1 = 30 * 10-2 m, h2 = 20 * 10-2 m, (ρ2 / ρ1)= 0.80

V = (9.016)1/2 = approximately 3 m/s

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A wide vessel in a small hole at the bottom is filled with water (density d1 , height h1 ) and kerosene (density d2 , height h2 ). Neglecting viscosity effects , the speed with which water flows out is : answer is {2g(h1+h2(d1/d2)}^1/2 please explain... for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A wide vessel in a small hole at the bottom is filled with water (density d1 , height h1 ) and kerosene (density d2 , height h2 ). Neglecting viscosity effects , the speed with which water flows out is : answer is {2g(h1+h2(d1/d2)}^1/2 please explain... covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wide vessel in a small hole at the bottom is filled with water (density d1 , height h1 ) and kerosene (density d2 , height h2 ). Neglecting viscosity effects , the speed with which water flows out is : answer is {2g(h1+h2(d1/d2)}^1/2 please explain....

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