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

143440 Total pressure at the bottom of a filled water tank is 2.0 atm. If a small hole is made at the bottom of the tank, then what is the velocity of flux?
[use density of water as $1000 \mathrm{~kg} / \mathrm{m}^{3}, 1 \mathrm{~atm}=10^{5}$ Pa]

1 $10 \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
3 $20 \mathrm{~m} / \mathrm{s}$
4 $20 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143441 The cylindrical tube of a spray pump has a cross-section of $8 \mathrm{~cm}^{2}$, one end of which has 40 fine holes each of area $10^{-8} \mathrm{~m}^{2}$.
If the liquid flows inside the tube with a speed of $0.15 \mathrm{~m} \mathrm{~min}^{-1}$, the speed with which the liquid is ejected through the holes is

1 $50 \mathrm{~m} / \mathrm{s}$
2 $5 \mathrm{~m} / \mathrm{s}$
3 $0.05 \mathrm{~m} / \mathrm{s}$
4 $0.5 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143442 A tank is filled with water upto height $H$. When a hole is made at a distance $h$ below the level of water. What will be the horizontal range of water jet?

1 $2 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
2 $4 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
3 $4 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
4 $2 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
Mechanical Properties of Fluids

143443 The pressure of water in a pipe when tap is closed is $5.5 \times 10^{5} \mathrm{~N} . \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to $5 \times 10^{5} \quad \mathrm{~N} \cdot \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to 5 $\times 10^{5} \mathrm{~N} \cdot \mathrm{m}^{-2}$. The velocity with which the water comes out when tap is opened is (Density of water is $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 $10 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $5 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $20 \mathrm{~m} . \mathrm{s}^{-1}$
4 $15 \mathrm{~m} . \mathrm{s}-1$
Mechanical Properties of Fluids

143440 Total pressure at the bottom of a filled water tank is 2.0 atm. If a small hole is made at the bottom of the tank, then what is the velocity of flux?
[use density of water as $1000 \mathrm{~kg} / \mathrm{m}^{3}, 1 \mathrm{~atm}=10^{5}$ Pa]

1 $10 \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
3 $20 \mathrm{~m} / \mathrm{s}$
4 $20 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143441 The cylindrical tube of a spray pump has a cross-section of $8 \mathrm{~cm}^{2}$, one end of which has 40 fine holes each of area $10^{-8} \mathrm{~m}^{2}$.
If the liquid flows inside the tube with a speed of $0.15 \mathrm{~m} \mathrm{~min}^{-1}$, the speed with which the liquid is ejected through the holes is

1 $50 \mathrm{~m} / \mathrm{s}$
2 $5 \mathrm{~m} / \mathrm{s}$
3 $0.05 \mathrm{~m} / \mathrm{s}$
4 $0.5 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143442 A tank is filled with water upto height $H$. When a hole is made at a distance $h$ below the level of water. What will be the horizontal range of water jet?

1 $2 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
2 $4 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
3 $4 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
4 $2 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
Mechanical Properties of Fluids

143443 The pressure of water in a pipe when tap is closed is $5.5 \times 10^{5} \mathrm{~N} . \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to $5 \times 10^{5} \quad \mathrm{~N} \cdot \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to 5 $\times 10^{5} \mathrm{~N} \cdot \mathrm{m}^{-2}$. The velocity with which the water comes out when tap is opened is (Density of water is $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 $10 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $5 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $20 \mathrm{~m} . \mathrm{s}^{-1}$
4 $15 \mathrm{~m} . \mathrm{s}-1$
Mechanical Properties of Fluids

143440 Total pressure at the bottom of a filled water tank is 2.0 atm. If a small hole is made at the bottom of the tank, then what is the velocity of flux?
[use density of water as $1000 \mathrm{~kg} / \mathrm{m}^{3}, 1 \mathrm{~atm}=10^{5}$ Pa]

1 $10 \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
3 $20 \mathrm{~m} / \mathrm{s}$
4 $20 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143441 The cylindrical tube of a spray pump has a cross-section of $8 \mathrm{~cm}^{2}$, one end of which has 40 fine holes each of area $10^{-8} \mathrm{~m}^{2}$.
If the liquid flows inside the tube with a speed of $0.15 \mathrm{~m} \mathrm{~min}^{-1}$, the speed with which the liquid is ejected through the holes is

1 $50 \mathrm{~m} / \mathrm{s}$
2 $5 \mathrm{~m} / \mathrm{s}$
3 $0.05 \mathrm{~m} / \mathrm{s}$
4 $0.5 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143442 A tank is filled with water upto height $H$. When a hole is made at a distance $h$ below the level of water. What will be the horizontal range of water jet?

1 $2 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
2 $4 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
3 $4 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
4 $2 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
Mechanical Properties of Fluids

143443 The pressure of water in a pipe when tap is closed is $5.5 \times 10^{5} \mathrm{~N} . \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to $5 \times 10^{5} \quad \mathrm{~N} \cdot \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to 5 $\times 10^{5} \mathrm{~N} \cdot \mathrm{m}^{-2}$. The velocity with which the water comes out when tap is opened is (Density of water is $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 $10 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $5 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $20 \mathrm{~m} . \mathrm{s}^{-1}$
4 $15 \mathrm{~m} . \mathrm{s}-1$
Mechanical Properties of Fluids

143440 Total pressure at the bottom of a filled water tank is 2.0 atm. If a small hole is made at the bottom of the tank, then what is the velocity of flux?
[use density of water as $1000 \mathrm{~kg} / \mathrm{m}^{3}, 1 \mathrm{~atm}=10^{5}$ Pa]

1 $10 \mathrm{~m} / \mathrm{s}$
2 $10 \sqrt{2} \mathrm{~m} / \mathrm{s}$
3 $20 \mathrm{~m} / \mathrm{s}$
4 $20 \sqrt{2} \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143441 The cylindrical tube of a spray pump has a cross-section of $8 \mathrm{~cm}^{2}$, one end of which has 40 fine holes each of area $10^{-8} \mathrm{~m}^{2}$.
If the liquid flows inside the tube with a speed of $0.15 \mathrm{~m} \mathrm{~min}^{-1}$, the speed with which the liquid is ejected through the holes is

1 $50 \mathrm{~m} / \mathrm{s}$
2 $5 \mathrm{~m} / \mathrm{s}$
3 $0.05 \mathrm{~m} / \mathrm{s}$
4 $0.5 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143442 A tank is filled with water upto height $H$. When a hole is made at a distance $h$ below the level of water. What will be the horizontal range of water jet?

1 $2 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
2 $4 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
3 $4 \sqrt{\mathrm{h}(\mathrm{H}-\mathrm{h})}$
4 $2 \sqrt{\mathrm{h}(\mathrm{H}+\mathrm{h})}$
Mechanical Properties of Fluids

143443 The pressure of water in a pipe when tap is closed is $5.5 \times 10^{5} \mathrm{~N} . \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to $5 \times 10^{5} \quad \mathrm{~N} \cdot \mathrm{m}^{-2}$. When the tap is opened, water pressure reduces to 5 $\times 10^{5} \mathrm{~N} \cdot \mathrm{m}^{-2}$. The velocity with which the water comes out when tap is opened is (Density of water is $1000 \mathrm{~kg} \mathrm{~m}^{-3}$ )

1 $10 \mathrm{~m} \cdot \mathrm{s}^{-1}$
2 $5 \mathrm{~m} \cdot \mathrm{s}^{-1}$
3 $20 \mathrm{~m} . \mathrm{s}^{-1}$
4 $15 \mathrm{~m} . \mathrm{s}-1$
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