Bernoulli’s Principle
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360839 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water

1 \(m v^{3}\)
2 \(\dfrac{1}{2} m v^{3}\)
3 \(\dfrac{1}{2} m v^{2}\)
4 \(\dfrac{1}{2} m^{2} v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360840 A cylindrical container of radius ' \(R\) ' and height ' \(h\) ' is completely filled with a liqiud. Two horizontal \(L\) shaped pipes of small cross-section area ' \(a\) ' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:
supporting img

1 \(8agh\rho R\)
2 \(4agh\rho R\)
3 \(2agh\rho R\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360841 A horizontal tube of uniform cross-sectional area \(A\) is bent in the form of \(U\)-tube as shown. A liquid of density \(\rho\) enters and leaves the tube with velocity \(v\). External force \(F\) required to hold the tube stationary is
\(F=(x) \times\left(\dfrac{1}{2} \rho a v^{2}\right)\). Find \(x\)
supporting img

1 2
2 3
3 6
4 4
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360842 Assertion :
A fluid flowing out of a small hole in a vessel apply a backward thrust on the vessel.
Reason :
According to the equation of continuity, the product of area and velocity remains constant.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360843 A cylindrical vessel having cross-sectional area \(A=0.5 {~m}^{2}\) is filled with two liquids of density \(\rho_{1}=500 {~kg} {~m}^{-3}\) and \(\rho_{2}=\) \(1000 {~kg} {~m}^{-3}\), to a height \(h=50 {~cm}\) each as shown in figure. A small hole having area \(a=5 {~cm}^{2}\) is made in right vertical wall at a height \(y=10 {~cm}\) from the bottom. Calculate the maximum values of \(F\) to keep the cylinder in static equilibrium, if coefficient of friction between the cylinder and the plane is \(\mu=0.02\). \(\left(g=10 {~ms}^{-2}\right)\).
supporting img

1 \(120.1\,N\)
2 \(154.5\,N\)
3 \(184.5\,N\)
4 \(132.5\,N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360839 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water

1 \(m v^{3}\)
2 \(\dfrac{1}{2} m v^{3}\)
3 \(\dfrac{1}{2} m v^{2}\)
4 \(\dfrac{1}{2} m^{2} v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360840 A cylindrical container of radius ' \(R\) ' and height ' \(h\) ' is completely filled with a liqiud. Two horizontal \(L\) shaped pipes of small cross-section area ' \(a\) ' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:
supporting img

1 \(8agh\rho R\)
2 \(4agh\rho R\)
3 \(2agh\rho R\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360841 A horizontal tube of uniform cross-sectional area \(A\) is bent in the form of \(U\)-tube as shown. A liquid of density \(\rho\) enters and leaves the tube with velocity \(v\). External force \(F\) required to hold the tube stationary is
\(F=(x) \times\left(\dfrac{1}{2} \rho a v^{2}\right)\). Find \(x\)
supporting img

1 2
2 3
3 6
4 4
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360842 Assertion :
A fluid flowing out of a small hole in a vessel apply a backward thrust on the vessel.
Reason :
According to the equation of continuity, the product of area and velocity remains constant.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360843 A cylindrical vessel having cross-sectional area \(A=0.5 {~m}^{2}\) is filled with two liquids of density \(\rho_{1}=500 {~kg} {~m}^{-3}\) and \(\rho_{2}=\) \(1000 {~kg} {~m}^{-3}\), to a height \(h=50 {~cm}\) each as shown in figure. A small hole having area \(a=5 {~cm}^{2}\) is made in right vertical wall at a height \(y=10 {~cm}\) from the bottom. Calculate the maximum values of \(F\) to keep the cylinder in static equilibrium, if coefficient of friction between the cylinder and the plane is \(\mu=0.02\). \(\left(g=10 {~ms}^{-2}\right)\).
supporting img

1 \(120.1\,N\)
2 \(154.5\,N\)
3 \(184.5\,N\)
4 \(132.5\,N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360839 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water

1 \(m v^{3}\)
2 \(\dfrac{1}{2} m v^{3}\)
3 \(\dfrac{1}{2} m v^{2}\)
4 \(\dfrac{1}{2} m^{2} v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360840 A cylindrical container of radius ' \(R\) ' and height ' \(h\) ' is completely filled with a liqiud. Two horizontal \(L\) shaped pipes of small cross-section area ' \(a\) ' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:
supporting img

1 \(8agh\rho R\)
2 \(4agh\rho R\)
3 \(2agh\rho R\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360841 A horizontal tube of uniform cross-sectional area \(A\) is bent in the form of \(U\)-tube as shown. A liquid of density \(\rho\) enters and leaves the tube with velocity \(v\). External force \(F\) required to hold the tube stationary is
\(F=(x) \times\left(\dfrac{1}{2} \rho a v^{2}\right)\). Find \(x\)
supporting img

1 2
2 3
3 6
4 4
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360842 Assertion :
A fluid flowing out of a small hole in a vessel apply a backward thrust on the vessel.
Reason :
According to the equation of continuity, the product of area and velocity remains constant.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360843 A cylindrical vessel having cross-sectional area \(A=0.5 {~m}^{2}\) is filled with two liquids of density \(\rho_{1}=500 {~kg} {~m}^{-3}\) and \(\rho_{2}=\) \(1000 {~kg} {~m}^{-3}\), to a height \(h=50 {~cm}\) each as shown in figure. A small hole having area \(a=5 {~cm}^{2}\) is made in right vertical wall at a height \(y=10 {~cm}\) from the bottom. Calculate the maximum values of \(F\) to keep the cylinder in static equilibrium, if coefficient of friction between the cylinder and the plane is \(\mu=0.02\). \(\left(g=10 {~ms}^{-2}\right)\).
supporting img

1 \(120.1\,N\)
2 \(154.5\,N\)
3 \(184.5\,N\)
4 \(132.5\,N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360839 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water

1 \(m v^{3}\)
2 \(\dfrac{1}{2} m v^{3}\)
3 \(\dfrac{1}{2} m v^{2}\)
4 \(\dfrac{1}{2} m^{2} v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360840 A cylindrical container of radius ' \(R\) ' and height ' \(h\) ' is completely filled with a liqiud. Two horizontal \(L\) shaped pipes of small cross-section area ' \(a\) ' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:
supporting img

1 \(8agh\rho R\)
2 \(4agh\rho R\)
3 \(2agh\rho R\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360841 A horizontal tube of uniform cross-sectional area \(A\) is bent in the form of \(U\)-tube as shown. A liquid of density \(\rho\) enters and leaves the tube with velocity \(v\). External force \(F\) required to hold the tube stationary is
\(F=(x) \times\left(\dfrac{1}{2} \rho a v^{2}\right)\). Find \(x\)
supporting img

1 2
2 3
3 6
4 4
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360842 Assertion :
A fluid flowing out of a small hole in a vessel apply a backward thrust on the vessel.
Reason :
According to the equation of continuity, the product of area and velocity remains constant.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360843 A cylindrical vessel having cross-sectional area \(A=0.5 {~m}^{2}\) is filled with two liquids of density \(\rho_{1}=500 {~kg} {~m}^{-3}\) and \(\rho_{2}=\) \(1000 {~kg} {~m}^{-3}\), to a height \(h=50 {~cm}\) each as shown in figure. A small hole having area \(a=5 {~cm}^{2}\) is made in right vertical wall at a height \(y=10 {~cm}\) from the bottom. Calculate the maximum values of \(F\) to keep the cylinder in static equilibrium, if coefficient of friction between the cylinder and the plane is \(\mu=0.02\). \(\left(g=10 {~ms}^{-2}\right)\).
supporting img

1 \(120.1\,N\)
2 \(154.5\,N\)
3 \(184.5\,N\)
4 \(132.5\,N\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360839 An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water

1 \(m v^{3}\)
2 \(\dfrac{1}{2} m v^{3}\)
3 \(\dfrac{1}{2} m v^{2}\)
4 \(\dfrac{1}{2} m^{2} v^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360840 A cylindrical container of radius ' \(R\) ' and height ' \(h\) ' is completely filled with a liqiud. Two horizontal \(L\) shaped pipes of small cross-section area ' \(a\) ' are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:
supporting img

1 \(8agh\rho R\)
2 \(4agh\rho R\)
3 \(2agh\rho R\)
4 None of these
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360841 A horizontal tube of uniform cross-sectional area \(A\) is bent in the form of \(U\)-tube as shown. A liquid of density \(\rho\) enters and leaves the tube with velocity \(v\). External force \(F\) required to hold the tube stationary is
\(F=(x) \times\left(\dfrac{1}{2} \rho a v^{2}\right)\). Find \(x\)
supporting img

1 2
2 3
3 6
4 4
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360842 Assertion :
A fluid flowing out of a small hole in a vessel apply a backward thrust on the vessel.
Reason :
According to the equation of continuity, the product of area and velocity remains constant.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360843 A cylindrical vessel having cross-sectional area \(A=0.5 {~m}^{2}\) is filled with two liquids of density \(\rho_{1}=500 {~kg} {~m}^{-3}\) and \(\rho_{2}=\) \(1000 {~kg} {~m}^{-3}\), to a height \(h=50 {~cm}\) each as shown in figure. A small hole having area \(a=5 {~cm}^{2}\) is made in right vertical wall at a height \(y=10 {~cm}\) from the bottom. Calculate the maximum values of \(F\) to keep the cylinder in static equilibrium, if coefficient of friction between the cylinder and the plane is \(\mu=0.02\). \(\left(g=10 {~ms}^{-2}\right)\).
supporting img

1 \(120.1\,N\)
2 \(154.5\,N\)
3 \(184.5\,N\)
4 \(132.5\,N\)