Bernoulli’s Principle
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360869 There is a hole in the bottom of tank having water. If total pressure at bottom is 3 \({\text{ }}atm\) \(\left( {1\;atm = {{10}^5}\;N/{m^2}} \right)\) then the velocity of water flowing from hole is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {600} \;m/s\)
3 \(\sqrt {60} \;m/s\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360870 A tank of height \(H\) is fully filled with water. If the water rushing from a hole made in the tank below free surface, strikes the floor at maximum horizontal distance, then the depth of the hole from the free surface must be

1 \((3 / 4) H\)
2 \((1 / 4) H\)
3 \((2 / 3) H\)
4 \((1 / 2) H\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360871 A vessel completely filled with water has holes ' \(A\) ' and ' \(B\) ' at depths ' \(h\) ' and ' \(3 h\) ' from the top, respectively. Hole ' \(A\) ' is a square of side ' \(L\) ' and ' \(B\) ' is circle of radius ' \(r\) '. The water flowing out per second from both the holes is same. Then ' \(L\) ' is equal to

1 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{2}}}\)
2 \(r \cdot {(\pi )^{\frac{1}{4}}} \cdot {(3)^{\frac{1}{4}}}\)
3 \(r \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{4}}}\)
4 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{3}}} \cdot {(3)^{\frac{1}{2}}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360872 A small hole is made at the bottom of a symmetrical jar as shown in figure. A liquid is filled into the jar upto a certain height. The rate of descension of liquid is independent of the level of liquid in the jar. The surface of jar is a surface of revolution of the curve:
supporting img

1 \(y=k x^{4}\)
2 \(y=k x^{2}\)
3 \(y=k x^{3}\)
4 \(y=k x^{5}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360873 Match the Column I with Column II
Column I
Column II
A
Floating body
P
Torricelli's law
B
Hydraulic lift
Q
Bernoulli's principle
C
Energy conservation
R
Archimedes principle
D
Speed of efflux
S
Pascal's law

1 A - S, B - Q, C - R, D - P
2 A - R, B - S, C - Q, D - P
3 A - Q, B - P, C - S, D - R
4 A - R, B - P, C - Q, D - S
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360869 There is a hole in the bottom of tank having water. If total pressure at bottom is 3 \({\text{ }}atm\) \(\left( {1\;atm = {{10}^5}\;N/{m^2}} \right)\) then the velocity of water flowing from hole is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {600} \;m/s\)
3 \(\sqrt {60} \;m/s\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360870 A tank of height \(H\) is fully filled with water. If the water rushing from a hole made in the tank below free surface, strikes the floor at maximum horizontal distance, then the depth of the hole from the free surface must be

1 \((3 / 4) H\)
2 \((1 / 4) H\)
3 \((2 / 3) H\)
4 \((1 / 2) H\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360871 A vessel completely filled with water has holes ' \(A\) ' and ' \(B\) ' at depths ' \(h\) ' and ' \(3 h\) ' from the top, respectively. Hole ' \(A\) ' is a square of side ' \(L\) ' and ' \(B\) ' is circle of radius ' \(r\) '. The water flowing out per second from both the holes is same. Then ' \(L\) ' is equal to

1 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{2}}}\)
2 \(r \cdot {(\pi )^{\frac{1}{4}}} \cdot {(3)^{\frac{1}{4}}}\)
3 \(r \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{4}}}\)
4 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{3}}} \cdot {(3)^{\frac{1}{2}}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360872 A small hole is made at the bottom of a symmetrical jar as shown in figure. A liquid is filled into the jar upto a certain height. The rate of descension of liquid is independent of the level of liquid in the jar. The surface of jar is a surface of revolution of the curve:
supporting img

1 \(y=k x^{4}\)
2 \(y=k x^{2}\)
3 \(y=k x^{3}\)
4 \(y=k x^{5}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360873 Match the Column I with Column II
Column I
Column II
A
Floating body
P
Torricelli's law
B
Hydraulic lift
Q
Bernoulli's principle
C
Energy conservation
R
Archimedes principle
D
Speed of efflux
S
Pascal's law

1 A - S, B - Q, C - R, D - P
2 A - R, B - S, C - Q, D - P
3 A - Q, B - P, C - S, D - R
4 A - R, B - P, C - Q, D - S
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360869 There is a hole in the bottom of tank having water. If total pressure at bottom is 3 \({\text{ }}atm\) \(\left( {1\;atm = {{10}^5}\;N/{m^2}} \right)\) then the velocity of water flowing from hole is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {600} \;m/s\)
3 \(\sqrt {60} \;m/s\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360870 A tank of height \(H\) is fully filled with water. If the water rushing from a hole made in the tank below free surface, strikes the floor at maximum horizontal distance, then the depth of the hole from the free surface must be

1 \((3 / 4) H\)
2 \((1 / 4) H\)
3 \((2 / 3) H\)
4 \((1 / 2) H\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360871 A vessel completely filled with water has holes ' \(A\) ' and ' \(B\) ' at depths ' \(h\) ' and ' \(3 h\) ' from the top, respectively. Hole ' \(A\) ' is a square of side ' \(L\) ' and ' \(B\) ' is circle of radius ' \(r\) '. The water flowing out per second from both the holes is same. Then ' \(L\) ' is equal to

1 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{2}}}\)
2 \(r \cdot {(\pi )^{\frac{1}{4}}} \cdot {(3)^{\frac{1}{4}}}\)
3 \(r \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{4}}}\)
4 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{3}}} \cdot {(3)^{\frac{1}{2}}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360872 A small hole is made at the bottom of a symmetrical jar as shown in figure. A liquid is filled into the jar upto a certain height. The rate of descension of liquid is independent of the level of liquid in the jar. The surface of jar is a surface of revolution of the curve:
supporting img

1 \(y=k x^{4}\)
2 \(y=k x^{2}\)
3 \(y=k x^{3}\)
4 \(y=k x^{5}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360873 Match the Column I with Column II
Column I
Column II
A
Floating body
P
Torricelli's law
B
Hydraulic lift
Q
Bernoulli's principle
C
Energy conservation
R
Archimedes principle
D
Speed of efflux
S
Pascal's law

1 A - S, B - Q, C - R, D - P
2 A - R, B - S, C - Q, D - P
3 A - Q, B - P, C - S, D - R
4 A - R, B - P, C - Q, D - S
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360869 There is a hole in the bottom of tank having water. If total pressure at bottom is 3 \({\text{ }}atm\) \(\left( {1\;atm = {{10}^5}\;N/{m^2}} \right)\) then the velocity of water flowing from hole is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {600} \;m/s\)
3 \(\sqrt {60} \;m/s\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360870 A tank of height \(H\) is fully filled with water. If the water rushing from a hole made in the tank below free surface, strikes the floor at maximum horizontal distance, then the depth of the hole from the free surface must be

1 \((3 / 4) H\)
2 \((1 / 4) H\)
3 \((2 / 3) H\)
4 \((1 / 2) H\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360871 A vessel completely filled with water has holes ' \(A\) ' and ' \(B\) ' at depths ' \(h\) ' and ' \(3 h\) ' from the top, respectively. Hole ' \(A\) ' is a square of side ' \(L\) ' and ' \(B\) ' is circle of radius ' \(r\) '. The water flowing out per second from both the holes is same. Then ' \(L\) ' is equal to

1 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{2}}}\)
2 \(r \cdot {(\pi )^{\frac{1}{4}}} \cdot {(3)^{\frac{1}{4}}}\)
3 \(r \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{4}}}\)
4 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{3}}} \cdot {(3)^{\frac{1}{2}}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360872 A small hole is made at the bottom of a symmetrical jar as shown in figure. A liquid is filled into the jar upto a certain height. The rate of descension of liquid is independent of the level of liquid in the jar. The surface of jar is a surface of revolution of the curve:
supporting img

1 \(y=k x^{4}\)
2 \(y=k x^{2}\)
3 \(y=k x^{3}\)
4 \(y=k x^{5}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360873 Match the Column I with Column II
Column I
Column II
A
Floating body
P
Torricelli's law
B
Hydraulic lift
Q
Bernoulli's principle
C
Energy conservation
R
Archimedes principle
D
Speed of efflux
S
Pascal's law

1 A - S, B - Q, C - R, D - P
2 A - R, B - S, C - Q, D - P
3 A - Q, B - P, C - S, D - R
4 A - R, B - P, C - Q, D - S
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360869 There is a hole in the bottom of tank having water. If total pressure at bottom is 3 \({\text{ }}atm\) \(\left( {1\;atm = {{10}^5}\;N/{m^2}} \right)\) then the velocity of water flowing from hole is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {600} \;m/s\)
3 \(\sqrt {60} \;m/s\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360870 A tank of height \(H\) is fully filled with water. If the water rushing from a hole made in the tank below free surface, strikes the floor at maximum horizontal distance, then the depth of the hole from the free surface must be

1 \((3 / 4) H\)
2 \((1 / 4) H\)
3 \((2 / 3) H\)
4 \((1 / 2) H\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360871 A vessel completely filled with water has holes ' \(A\) ' and ' \(B\) ' at depths ' \(h\) ' and ' \(3 h\) ' from the top, respectively. Hole ' \(A\) ' is a square of side ' \(L\) ' and ' \(B\) ' is circle of radius ' \(r\) '. The water flowing out per second from both the holes is same. Then ' \(L\) ' is equal to

1 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{2}}}\)
2 \(r \cdot {(\pi )^{\frac{1}{4}}} \cdot {(3)^{\frac{1}{4}}}\)
3 \(r \cdot {(\pi )^{\frac{1}{2}}} \cdot {(3)^{\frac{1}{4}}}\)
4 \({r^{\frac{1}{2}}} \cdot {(\pi )^{\frac{1}{3}}} \cdot {(3)^{\frac{1}{2}}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360872 A small hole is made at the bottom of a symmetrical jar as shown in figure. A liquid is filled into the jar upto a certain height. The rate of descension of liquid is independent of the level of liquid in the jar. The surface of jar is a surface of revolution of the curve:
supporting img

1 \(y=k x^{4}\)
2 \(y=k x^{2}\)
3 \(y=k x^{3}\)
4 \(y=k x^{5}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360873 Match the Column I with Column II
Column I
Column II
A
Floating body
P
Torricelli's law
B
Hydraulic lift
Q
Bernoulli's principle
C
Energy conservation
R
Archimedes principle
D
Speed of efflux
S
Pascal's law

1 A - S, B - Q, C - R, D - P
2 A - R, B - S, C - Q, D - P
3 A - Q, B - P, C - S, D - R
4 A - R, B - P, C - Q, D - S