Bernoulli’s Principle
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360886 A hole is made at the bottom of the tank filled with water
\(\left( {density = 1000kg/{m^3}} \right)\). If the total pressure at the bottom of the tank is three atomspheres ( 1 atmosphere \( = {10^5}\;N/{m^2}\) ), then the velocity of efflux is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {200} \;m/s\)
3 \(\sqrt {600} \;m/s\)
4 \(\sqrt {500} \;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360887 A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow \(v\) if the thickness of water layer is \(h_{1}\) and that of kerosene layer is \(h_{2}\) is (density of water is \({\rho _1}\;g\) / cc and that of kerosene is \(\left. {{\rho _2}\;g/cc} \right)\left( {{\rho _1} > {\rho _2}} \right)\)

1 \(v=\sqrt{2 g\left(h_{1}+h_{2}\right)}\)
2 \(v=\sqrt{2 g\left(h_{1}+h_{2} \dfrac{\rho_{2}}{\rho_{1}}\right)}\)
3 \(v=\sqrt{2 g\left(h_{1} \rho_{1}+h_{2} \rho_{2}\right)}\)
4 \(v=\sqrt{2 g\left(h_{1} \dfrac{\rho_{1}}{\rho_{2}}+h_{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360888 There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is \(h\). As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to
supporting img

1 \(h^{1 / 2}\)
2 \(h^{3 / 2}\)
3 \(h^{2}\)
4 \(h\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360889 If a small orifice is made at a height of \(0.25\,m\) from the ground, the horizontal range of water stream will be
supporting img

1 \(46.5\;cm\)
2 \(56.6\;cm\)
3 \(76.6\;cm\)
4 \(86.6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360890 The pressure of water in a pipe when tap is closed is \(5.5 \times {10^5}\;N/{m^2}\). When tap gets open, pressure reduces to \(5 \times {10^5}\;N/{m^2}\). The velocity with which water comes out on opening the tap is

1 \(10\;m/s\)
2 \(5\;m/s\)
3 \(20\;m/s\)
4 \(15\;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360886 A hole is made at the bottom of the tank filled with water
\(\left( {density = 1000kg/{m^3}} \right)\). If the total pressure at the bottom of the tank is three atomspheres ( 1 atmosphere \( = {10^5}\;N/{m^2}\) ), then the velocity of efflux is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {200} \;m/s\)
3 \(\sqrt {600} \;m/s\)
4 \(\sqrt {500} \;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360887 A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow \(v\) if the thickness of water layer is \(h_{1}\) and that of kerosene layer is \(h_{2}\) is (density of water is \({\rho _1}\;g\) / cc and that of kerosene is \(\left. {{\rho _2}\;g/cc} \right)\left( {{\rho _1} > {\rho _2}} \right)\)

1 \(v=\sqrt{2 g\left(h_{1}+h_{2}\right)}\)
2 \(v=\sqrt{2 g\left(h_{1}+h_{2} \dfrac{\rho_{2}}{\rho_{1}}\right)}\)
3 \(v=\sqrt{2 g\left(h_{1} \rho_{1}+h_{2} \rho_{2}\right)}\)
4 \(v=\sqrt{2 g\left(h_{1} \dfrac{\rho_{1}}{\rho_{2}}+h_{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360888 There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is \(h\). As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to
supporting img

1 \(h^{1 / 2}\)
2 \(h^{3 / 2}\)
3 \(h^{2}\)
4 \(h\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360889 If a small orifice is made at a height of \(0.25\,m\) from the ground, the horizontal range of water stream will be
supporting img

1 \(46.5\;cm\)
2 \(56.6\;cm\)
3 \(76.6\;cm\)
4 \(86.6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360890 The pressure of water in a pipe when tap is closed is \(5.5 \times {10^5}\;N/{m^2}\). When tap gets open, pressure reduces to \(5 \times {10^5}\;N/{m^2}\). The velocity with which water comes out on opening the tap is

1 \(10\;m/s\)
2 \(5\;m/s\)
3 \(20\;m/s\)
4 \(15\;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360886 A hole is made at the bottom of the tank filled with water
\(\left( {density = 1000kg/{m^3}} \right)\). If the total pressure at the bottom of the tank is three atomspheres ( 1 atmosphere \( = {10^5}\;N/{m^2}\) ), then the velocity of efflux is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {200} \;m/s\)
3 \(\sqrt {600} \;m/s\)
4 \(\sqrt {500} \;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360887 A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow \(v\) if the thickness of water layer is \(h_{1}\) and that of kerosene layer is \(h_{2}\) is (density of water is \({\rho _1}\;g\) / cc and that of kerosene is \(\left. {{\rho _2}\;g/cc} \right)\left( {{\rho _1} > {\rho _2}} \right)\)

1 \(v=\sqrt{2 g\left(h_{1}+h_{2}\right)}\)
2 \(v=\sqrt{2 g\left(h_{1}+h_{2} \dfrac{\rho_{2}}{\rho_{1}}\right)}\)
3 \(v=\sqrt{2 g\left(h_{1} \rho_{1}+h_{2} \rho_{2}\right)}\)
4 \(v=\sqrt{2 g\left(h_{1} \dfrac{\rho_{1}}{\rho_{2}}+h_{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360888 There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is \(h\). As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to
supporting img

1 \(h^{1 / 2}\)
2 \(h^{3 / 2}\)
3 \(h^{2}\)
4 \(h\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360889 If a small orifice is made at a height of \(0.25\,m\) from the ground, the horizontal range of water stream will be
supporting img

1 \(46.5\;cm\)
2 \(56.6\;cm\)
3 \(76.6\;cm\)
4 \(86.6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360890 The pressure of water in a pipe when tap is closed is \(5.5 \times {10^5}\;N/{m^2}\). When tap gets open, pressure reduces to \(5 \times {10^5}\;N/{m^2}\). The velocity with which water comes out on opening the tap is

1 \(10\;m/s\)
2 \(5\;m/s\)
3 \(20\;m/s\)
4 \(15\;m/s\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360886 A hole is made at the bottom of the tank filled with water
\(\left( {density = 1000kg/{m^3}} \right)\). If the total pressure at the bottom of the tank is three atomspheres ( 1 atmosphere \( = {10^5}\;N/{m^2}\) ), then the velocity of efflux is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {200} \;m/s\)
3 \(\sqrt {600} \;m/s\)
4 \(\sqrt {500} \;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360887 A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow \(v\) if the thickness of water layer is \(h_{1}\) and that of kerosene layer is \(h_{2}\) is (density of water is \({\rho _1}\;g\) / cc and that of kerosene is \(\left. {{\rho _2}\;g/cc} \right)\left( {{\rho _1} > {\rho _2}} \right)\)

1 \(v=\sqrt{2 g\left(h_{1}+h_{2}\right)}\)
2 \(v=\sqrt{2 g\left(h_{1}+h_{2} \dfrac{\rho_{2}}{\rho_{1}}\right)}\)
3 \(v=\sqrt{2 g\left(h_{1} \rho_{1}+h_{2} \rho_{2}\right)}\)
4 \(v=\sqrt{2 g\left(h_{1} \dfrac{\rho_{1}}{\rho_{2}}+h_{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360888 There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is \(h\). As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to
supporting img

1 \(h^{1 / 2}\)
2 \(h^{3 / 2}\)
3 \(h^{2}\)
4 \(h\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360889 If a small orifice is made at a height of \(0.25\,m\) from the ground, the horizontal range of water stream will be
supporting img

1 \(46.5\;cm\)
2 \(56.6\;cm\)
3 \(76.6\;cm\)
4 \(86.6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360890 The pressure of water in a pipe when tap is closed is \(5.5 \times {10^5}\;N/{m^2}\). When tap gets open, pressure reduces to \(5 \times {10^5}\;N/{m^2}\). The velocity with which water comes out on opening the tap is

1 \(10\;m/s\)
2 \(5\;m/s\)
3 \(20\;m/s\)
4 \(15\;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360886 A hole is made at the bottom of the tank filled with water
\(\left( {density = 1000kg/{m^3}} \right)\). If the total pressure at the bottom of the tank is three atomspheres ( 1 atmosphere \( = {10^5}\;N/{m^2}\) ), then the velocity of efflux is

1 \(\sqrt {400} \;m/s\)
2 \(\sqrt {200} \;m/s\)
3 \(\sqrt {600} \;m/s\)
4 \(\sqrt {500} \;m/s\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360887 A wide vessel with a small hole in the bottom is filled with water and kerosene. Neglecting viscosity, the velocity of water flow \(v\) if the thickness of water layer is \(h_{1}\) and that of kerosene layer is \(h_{2}\) is (density of water is \({\rho _1}\;g\) / cc and that of kerosene is \(\left. {{\rho _2}\;g/cc} \right)\left( {{\rho _1} > {\rho _2}} \right)\)

1 \(v=\sqrt{2 g\left(h_{1}+h_{2}\right)}\)
2 \(v=\sqrt{2 g\left(h_{1}+h_{2} \dfrac{\rho_{2}}{\rho_{1}}\right)}\)
3 \(v=\sqrt{2 g\left(h_{1} \rho_{1}+h_{2} \rho_{2}\right)}\)
4 \(v=\sqrt{2 g\left(h_{1} \dfrac{\rho_{1}}{\rho_{2}}+h_{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360888 There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is \(h\). As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to
supporting img

1 \(h^{1 / 2}\)
2 \(h^{3 / 2}\)
3 \(h^{2}\)
4 \(h\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360889 If a small orifice is made at a height of \(0.25\,m\) from the ground, the horizontal range of water stream will be
supporting img

1 \(46.5\;cm\)
2 \(56.6\;cm\)
3 \(76.6\;cm\)
4 \(86.6\;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360890 The pressure of water in a pipe when tap is closed is \(5.5 \times {10^5}\;N/{m^2}\). When tap gets open, pressure reduces to \(5 \times {10^5}\;N/{m^2}\). The velocity with which water comes out on opening the tap is

1 \(10\;m/s\)
2 \(5\;m/s\)
3 \(20\;m/s\)
4 \(15\;m/s\)