10. Continuity Equation and Bernoulli's Principle and It’s Application
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Mechanical Properties of Fluids

143424 A water barrel stands on a table of height ' $h$ '. A small hole is made on the wall of barrel at its bottom. If the stream of water coming out of the hole strikes the ground at horizontal distance ' $R$ ' from the table, the depth ' $d$ ' of water in the barrel is

1 $\frac{\mathrm{h}}{4 \mathrm{R}^{2}}$
2 $\frac{\mathrm{R}^{2}}{2 \mathrm{~h}}$
3 $\frac{\mathrm{R}^{2}}{4 \mathrm{~h}}$
4 $\frac{4 h}{\mathrm{R}^{2}}$
MHT-CET 2020
Mechanical Properties of Fluids

143425 A spray pipe has a cylindrical tube of radius ' $R$ '. It has ' $n$ ' small holes of radius ' $r$ ' at one end. The liquid flows through the tube with velocity ' $V$ '. The velocity of the liquid through the holes is

1 $\frac{\mathrm{VR}^{2}}{\mathrm{nr}}$
2 $\frac{\mathrm{Vr}^{2}}{\mathrm{nR}}$
3 $\frac{\mathrm{Vr}}{\mathrm{nR}}$
4 $\frac{\mathrm{VR}}{\mathrm{nr}}$
MHT-CET 2020
Mechanical Properties of Fluids

143426 A large vessel completely filled with water has two holes ' $A$ ' and ' $B$ ' at the depths ' $h$ ' and 4 ' $h$ ' from the top. Hole ' $A$ ' is square of side ' $L$ ' and hole ' $B$ ' is circular of radius ' $R$ '. If from both the holes same quantity of water is flowing per second, then side of square hole is

1 $2 \pi \mathrm{R}$
2 $\frac{R}{2}$
3 $\sqrt{2 \pi R}$
4 $\sqrt{2 \pi} \mathrm{R}$
MHT-CET 2020
Mechanical Properties of Fluids

143428 A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

1 The speed is high at the wider end and low at the narrow end.
2 The speed is low at the wider end and high at the narrow end.
3 The speed is same at both ends in a stream line flow.
4 The liquid flows with uniform velocity in the tube.
VITEEE-2019
Mechanical Properties of Fluids

143430 A large tank filled with water to a height $h$ is to be emptied through a small hole at the bottom. What is the ratio of the time taken for the level to fall from $h$ to $\frac{h}{2}$ and that taken for the level to fall from $\frac{h}{2}$ to 0 ?

1 $\sqrt{2}$
2 $\frac{1}{\sqrt{2}}$
3 $\sqrt{2}-1$
4 $\frac{1}{(\sqrt{2}-1)}$
SCRA-2009
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Mechanical Properties of Fluids

143424 A water barrel stands on a table of height ' $h$ '. A small hole is made on the wall of barrel at its bottom. If the stream of water coming out of the hole strikes the ground at horizontal distance ' $R$ ' from the table, the depth ' $d$ ' of water in the barrel is

1 $\frac{\mathrm{h}}{4 \mathrm{R}^{2}}$
2 $\frac{\mathrm{R}^{2}}{2 \mathrm{~h}}$
3 $\frac{\mathrm{R}^{2}}{4 \mathrm{~h}}$
4 $\frac{4 h}{\mathrm{R}^{2}}$
MHT-CET 2020
Mechanical Properties of Fluids

143425 A spray pipe has a cylindrical tube of radius ' $R$ '. It has ' $n$ ' small holes of radius ' $r$ ' at one end. The liquid flows through the tube with velocity ' $V$ '. The velocity of the liquid through the holes is

1 $\frac{\mathrm{VR}^{2}}{\mathrm{nr}}$
2 $\frac{\mathrm{Vr}^{2}}{\mathrm{nR}}$
3 $\frac{\mathrm{Vr}}{\mathrm{nR}}$
4 $\frac{\mathrm{VR}}{\mathrm{nr}}$
MHT-CET 2020
Mechanical Properties of Fluids

143426 A large vessel completely filled with water has two holes ' $A$ ' and ' $B$ ' at the depths ' $h$ ' and 4 ' $h$ ' from the top. Hole ' $A$ ' is square of side ' $L$ ' and hole ' $B$ ' is circular of radius ' $R$ '. If from both the holes same quantity of water is flowing per second, then side of square hole is

1 $2 \pi \mathrm{R}$
2 $\frac{R}{2}$
3 $\sqrt{2 \pi R}$
4 $\sqrt{2 \pi} \mathrm{R}$
MHT-CET 2020
Mechanical Properties of Fluids

143428 A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

1 The speed is high at the wider end and low at the narrow end.
2 The speed is low at the wider end and high at the narrow end.
3 The speed is same at both ends in a stream line flow.
4 The liquid flows with uniform velocity in the tube.
VITEEE-2019
Mechanical Properties of Fluids

143430 A large tank filled with water to a height $h$ is to be emptied through a small hole at the bottom. What is the ratio of the time taken for the level to fall from $h$ to $\frac{h}{2}$ and that taken for the level to fall from $\frac{h}{2}$ to 0 ?

1 $\sqrt{2}$
2 $\frac{1}{\sqrt{2}}$
3 $\sqrt{2}-1$
4 $\frac{1}{(\sqrt{2}-1)}$
SCRA-2009
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Mechanical Properties of Fluids

143424 A water barrel stands on a table of height ' $h$ '. A small hole is made on the wall of barrel at its bottom. If the stream of water coming out of the hole strikes the ground at horizontal distance ' $R$ ' from the table, the depth ' $d$ ' of water in the barrel is

1 $\frac{\mathrm{h}}{4 \mathrm{R}^{2}}$
2 $\frac{\mathrm{R}^{2}}{2 \mathrm{~h}}$
3 $\frac{\mathrm{R}^{2}}{4 \mathrm{~h}}$
4 $\frac{4 h}{\mathrm{R}^{2}}$
MHT-CET 2020
Mechanical Properties of Fluids

143425 A spray pipe has a cylindrical tube of radius ' $R$ '. It has ' $n$ ' small holes of radius ' $r$ ' at one end. The liquid flows through the tube with velocity ' $V$ '. The velocity of the liquid through the holes is

1 $\frac{\mathrm{VR}^{2}}{\mathrm{nr}}$
2 $\frac{\mathrm{Vr}^{2}}{\mathrm{nR}}$
3 $\frac{\mathrm{Vr}}{\mathrm{nR}}$
4 $\frac{\mathrm{VR}}{\mathrm{nr}}$
MHT-CET 2020
Mechanical Properties of Fluids

143426 A large vessel completely filled with water has two holes ' $A$ ' and ' $B$ ' at the depths ' $h$ ' and 4 ' $h$ ' from the top. Hole ' $A$ ' is square of side ' $L$ ' and hole ' $B$ ' is circular of radius ' $R$ '. If from both the holes same quantity of water is flowing per second, then side of square hole is

1 $2 \pi \mathrm{R}$
2 $\frac{R}{2}$
3 $\sqrt{2 \pi R}$
4 $\sqrt{2 \pi} \mathrm{R}$
MHT-CET 2020
Mechanical Properties of Fluids

143428 A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

1 The speed is high at the wider end and low at the narrow end.
2 The speed is low at the wider end and high at the narrow end.
3 The speed is same at both ends in a stream line flow.
4 The liquid flows with uniform velocity in the tube.
VITEEE-2019
Mechanical Properties of Fluids

143430 A large tank filled with water to a height $h$ is to be emptied through a small hole at the bottom. What is the ratio of the time taken for the level to fall from $h$ to $\frac{h}{2}$ and that taken for the level to fall from $\frac{h}{2}$ to 0 ?

1 $\sqrt{2}$
2 $\frac{1}{\sqrt{2}}$
3 $\sqrt{2}-1$
4 $\frac{1}{(\sqrt{2}-1)}$
SCRA-2009
NEET DIGITAL LIBRARY
Mechanical Properties of Fluids

143424 A water barrel stands on a table of height ' $h$ '. A small hole is made on the wall of barrel at its bottom. If the stream of water coming out of the hole strikes the ground at horizontal distance ' $R$ ' from the table, the depth ' $d$ ' of water in the barrel is

1 $\frac{\mathrm{h}}{4 \mathrm{R}^{2}}$
2 $\frac{\mathrm{R}^{2}}{2 \mathrm{~h}}$
3 $\frac{\mathrm{R}^{2}}{4 \mathrm{~h}}$
4 $\frac{4 h}{\mathrm{R}^{2}}$
MHT-CET 2020
Mechanical Properties of Fluids

143425 A spray pipe has a cylindrical tube of radius ' $R$ '. It has ' $n$ ' small holes of radius ' $r$ ' at one end. The liquid flows through the tube with velocity ' $V$ '. The velocity of the liquid through the holes is

1 $\frac{\mathrm{VR}^{2}}{\mathrm{nr}}$
2 $\frac{\mathrm{Vr}^{2}}{\mathrm{nR}}$
3 $\frac{\mathrm{Vr}}{\mathrm{nR}}$
4 $\frac{\mathrm{VR}}{\mathrm{nr}}$
MHT-CET 2020
Mechanical Properties of Fluids

143426 A large vessel completely filled with water has two holes ' $A$ ' and ' $B$ ' at the depths ' $h$ ' and 4 ' $h$ ' from the top. Hole ' $A$ ' is square of side ' $L$ ' and hole ' $B$ ' is circular of radius ' $R$ '. If from both the holes same quantity of water is flowing per second, then side of square hole is

1 $2 \pi \mathrm{R}$
2 $\frac{R}{2}$
3 $\sqrt{2 \pi R}$
4 $\sqrt{2 \pi} \mathrm{R}$
MHT-CET 2020
Mechanical Properties of Fluids

143428 A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

1 The speed is high at the wider end and low at the narrow end.
2 The speed is low at the wider end and high at the narrow end.
3 The speed is same at both ends in a stream line flow.
4 The liquid flows with uniform velocity in the tube.
VITEEE-2019
Mechanical Properties of Fluids

143430 A large tank filled with water to a height $h$ is to be emptied through a small hole at the bottom. What is the ratio of the time taken for the level to fall from $h$ to $\frac{h}{2}$ and that taken for the level to fall from $\frac{h}{2}$ to 0 ?

1 $\sqrt{2}$
2 $\frac{1}{\sqrt{2}}$
3 $\sqrt{2}-1$
4 $\frac{1}{(\sqrt{2}-1)}$
SCRA-2009
Join With Us for More Updates
Mechanical Properties of Fluids

143424 A water barrel stands on a table of height ' $h$ '. A small hole is made on the wall of barrel at its bottom. If the stream of water coming out of the hole strikes the ground at horizontal distance ' $R$ ' from the table, the depth ' $d$ ' of water in the barrel is

1 $\frac{\mathrm{h}}{4 \mathrm{R}^{2}}$
2 $\frac{\mathrm{R}^{2}}{2 \mathrm{~h}}$
3 $\frac{\mathrm{R}^{2}}{4 \mathrm{~h}}$
4 $\frac{4 h}{\mathrm{R}^{2}}$
MHT-CET 2020
Mechanical Properties of Fluids

143425 A spray pipe has a cylindrical tube of radius ' $R$ '. It has ' $n$ ' small holes of radius ' $r$ ' at one end. The liquid flows through the tube with velocity ' $V$ '. The velocity of the liquid through the holes is

1 $\frac{\mathrm{VR}^{2}}{\mathrm{nr}}$
2 $\frac{\mathrm{Vr}^{2}}{\mathrm{nR}}$
3 $\frac{\mathrm{Vr}}{\mathrm{nR}}$
4 $\frac{\mathrm{VR}}{\mathrm{nr}}$
MHT-CET 2020
Mechanical Properties of Fluids

143426 A large vessel completely filled with water has two holes ' $A$ ' and ' $B$ ' at the depths ' $h$ ' and 4 ' $h$ ' from the top. Hole ' $A$ ' is square of side ' $L$ ' and hole ' $B$ ' is circular of radius ' $R$ '. If from both the holes same quantity of water is flowing per second, then side of square hole is

1 $2 \pi \mathrm{R}$
2 $\frac{R}{2}$
3 $\sqrt{2 \pi R}$
4 $\sqrt{2 \pi} \mathrm{R}$
MHT-CET 2020
Mechanical Properties of Fluids

143428 A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

1 The speed is high at the wider end and low at the narrow end.
2 The speed is low at the wider end and high at the narrow end.
3 The speed is same at both ends in a stream line flow.
4 The liquid flows with uniform velocity in the tube.
VITEEE-2019
Mechanical Properties of Fluids

143430 A large tank filled with water to a height $h$ is to be emptied through a small hole at the bottom. What is the ratio of the time taken for the level to fall from $h$ to $\frac{h}{2}$ and that taken for the level to fall from $\frac{h}{2}$ to 0 ?

1 $\sqrt{2}$
2 $\frac{1}{\sqrt{2}}$
3 $\sqrt{2}-1$
4 $\frac{1}{(\sqrt{2}-1)}$
SCRA-2009