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A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:
- a)The initial speed of efflux of the liquid at the hole is
- b)The horizontal distance x travelled by the liquid initially is
- c)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75H
- d)None of these
Correct answer is option 'A,B,C'. Can you explain this answer?
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Verified Answer
A container of large uniform cross-sectional area A resting on a horiz...
Here the effective height of orifice cannot be taken as (H-h) due to the presence of two liquids. Using Berrnoulli,s theorem just inside and just outside the orifice, we have
where V is the velocity of efflux
...(i)
2. Let be the time taken by the liquid to hit the ground. Then
....(ii)
The horizontal range x = Vt
[use equation (1) and (2)]
...(iii)
3. Q
Differentiate x with respect to h and equate it to zero for maximum h.
Value of h put in equation(3)
where V is the velocity of efflux
...(i)2. Let be the time taken by the liquid to hit the ground. Then
....(ii)The horizontal range x = Vt
[use equation (1) and (2)]...(iii)3. Q
Differentiate x with respect to h and equate it to zero for maximum h.
Value of h put in equation(3)
Most Upvoted Answer
A container of large uniform cross-sectional area A resting on a horiz...
Here the effective height of orifice cannot be taken as (H-h) due to the presence of two liquids. Using Berrnoulli,s theorem just inside and just outside the orifice, we have
where V is the velocity of efflux
...(i)
2. Let be the time taken by the liquid to hit the ground. Then
....(ii)
The horizontal range x = Vt
[use equation (1) and (2)]
...(iii)
3. Q
Differentiate x with respect to h and equate it to zero for maximum h.
Value of h put in equation(3)
where V is the velocity of efflux
...(i)2. Let be the time taken by the liquid to hit the ground. Then
....(ii)The horizontal range x = Vt
[use equation (1) and (2)]...(iii)3. Q
Differentiate x with respect to h and equate it to zero for maximum h.
Value of h put in equation(3)
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A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer?
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A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer?.
A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer?.
Solutions for A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
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A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A container of large uniform cross-sectional area A resting on a horizontal surface has two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown. The lower density liquid is open to the atmosphere having pressure P0. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h (h < H/2). Determine:a)The initial speed of efflux of the liquid at the hole isb)The horizontal distance x travelled by the liquid initially isc)The height hm at which the hole should be punched so that the liquid travels the maximum distance xm initially is 0.75Hd)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? tests, examples and also practice Physics tests.
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