Bernoulli’s Principle
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360874 A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8 ). The height of water is \(3\;m\) and that of kerosene \(2\;m\). When the hole is opended the velocity of fluid coming out from it is nearly:
(take \(g = 10\;m{s^{ - 2}}\) and density of water
\( = {10^3}kg{m^{ - 3}}\) )

1 \(10.7\;m{s^{ - 1}}\)
2 \(9.6\;m{s^{ - 1}}\)
3 \(8.5\;m{s^{ - 1}}\)
4 \(7.6\;m{s^{ - 1}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360875 A large open tank has two holes in the wall. One is a square hole of side \(L\) at a depth \(y\) from the top and the other is a circular hole of radius \(r\) at a depth \(4 y\) from the top. When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same. Then \(r\) is equal to

1 \(\dfrac{L}{\sqrt{2 \pi}}\)
2 \(2 \pi L\)
3 \(\dfrac{L}{2 \pi}\)
4 \(L\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360876 A cylindrical container containing water has a small hole at height of \(H = 8\;cm\) from the bottom and at a depth of \(2\;cm\) from the top surface of the liquid. The maximum horizontal distance travelled by the water before it hits the ground\((x)\) is

1 \(4\;cm\)
2 \(8\;cm\)
3 \(6\;cm\)
4 \(4\sqrt 2 \;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360877 A cylindrical vessel of cross-section A contains water to a height \(h\). There is a hole in the bottom of radius ' \(a\) '. The time in which it will be emptied is:

1 \(\dfrac{2 A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
2 \(\dfrac{\sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
3 \(\dfrac{2 \sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
4 \(\dfrac{A}{\sqrt{2} \pi a^{2}} \sqrt{\dfrac{h}{g}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360874 A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8 ). The height of water is \(3\;m\) and that of kerosene \(2\;m\). When the hole is opended the velocity of fluid coming out from it is nearly:
(take \(g = 10\;m{s^{ - 2}}\) and density of water
\( = {10^3}kg{m^{ - 3}}\) )

1 \(10.7\;m{s^{ - 1}}\)
2 \(9.6\;m{s^{ - 1}}\)
3 \(8.5\;m{s^{ - 1}}\)
4 \(7.6\;m{s^{ - 1}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360875 A large open tank has two holes in the wall. One is a square hole of side \(L\) at a depth \(y\) from the top and the other is a circular hole of radius \(r\) at a depth \(4 y\) from the top. When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same. Then \(r\) is equal to

1 \(\dfrac{L}{\sqrt{2 \pi}}\)
2 \(2 \pi L\)
3 \(\dfrac{L}{2 \pi}\)
4 \(L\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360876 A cylindrical container containing water has a small hole at height of \(H = 8\;cm\) from the bottom and at a depth of \(2\;cm\) from the top surface of the liquid. The maximum horizontal distance travelled by the water before it hits the ground\((x)\) is

1 \(4\;cm\)
2 \(8\;cm\)
3 \(6\;cm\)
4 \(4\sqrt 2 \;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360877 A cylindrical vessel of cross-section A contains water to a height \(h\). There is a hole in the bottom of radius ' \(a\) '. The time in which it will be emptied is:

1 \(\dfrac{2 A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
2 \(\dfrac{\sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
3 \(\dfrac{2 \sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
4 \(\dfrac{A}{\sqrt{2} \pi a^{2}} \sqrt{\dfrac{h}{g}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360874 A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8 ). The height of water is \(3\;m\) and that of kerosene \(2\;m\). When the hole is opended the velocity of fluid coming out from it is nearly:
(take \(g = 10\;m{s^{ - 2}}\) and density of water
\( = {10^3}kg{m^{ - 3}}\) )

1 \(10.7\;m{s^{ - 1}}\)
2 \(9.6\;m{s^{ - 1}}\)
3 \(8.5\;m{s^{ - 1}}\)
4 \(7.6\;m{s^{ - 1}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360875 A large open tank has two holes in the wall. One is a square hole of side \(L\) at a depth \(y\) from the top and the other is a circular hole of radius \(r\) at a depth \(4 y\) from the top. When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same. Then \(r\) is equal to

1 \(\dfrac{L}{\sqrt{2 \pi}}\)
2 \(2 \pi L\)
3 \(\dfrac{L}{2 \pi}\)
4 \(L\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360876 A cylindrical container containing water has a small hole at height of \(H = 8\;cm\) from the bottom and at a depth of \(2\;cm\) from the top surface of the liquid. The maximum horizontal distance travelled by the water before it hits the ground\((x)\) is

1 \(4\;cm\)
2 \(8\;cm\)
3 \(6\;cm\)
4 \(4\sqrt 2 \;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360877 A cylindrical vessel of cross-section A contains water to a height \(h\). There is a hole in the bottom of radius ' \(a\) '. The time in which it will be emptied is:

1 \(\dfrac{2 A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
2 \(\dfrac{\sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
3 \(\dfrac{2 \sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
4 \(\dfrac{A}{\sqrt{2} \pi a^{2}} \sqrt{\dfrac{h}{g}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360874 A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8 ). The height of water is \(3\;m\) and that of kerosene \(2\;m\). When the hole is opended the velocity of fluid coming out from it is nearly:
(take \(g = 10\;m{s^{ - 2}}\) and density of water
\( = {10^3}kg{m^{ - 3}}\) )

1 \(10.7\;m{s^{ - 1}}\)
2 \(9.6\;m{s^{ - 1}}\)
3 \(8.5\;m{s^{ - 1}}\)
4 \(7.6\;m{s^{ - 1}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360875 A large open tank has two holes in the wall. One is a square hole of side \(L\) at a depth \(y\) from the top and the other is a circular hole of radius \(r\) at a depth \(4 y\) from the top. When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same. Then \(r\) is equal to

1 \(\dfrac{L}{\sqrt{2 \pi}}\)
2 \(2 \pi L\)
3 \(\dfrac{L}{2 \pi}\)
4 \(L\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360876 A cylindrical container containing water has a small hole at height of \(H = 8\;cm\) from the bottom and at a depth of \(2\;cm\) from the top surface of the liquid. The maximum horizontal distance travelled by the water before it hits the ground\((x)\) is

1 \(4\;cm\)
2 \(8\;cm\)
3 \(6\;cm\)
4 \(4\sqrt 2 \;cm\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360877 A cylindrical vessel of cross-section A contains water to a height \(h\). There is a hole in the bottom of radius ' \(a\) '. The time in which it will be emptied is:

1 \(\dfrac{2 A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
2 \(\dfrac{\sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
3 \(\dfrac{2 \sqrt{2} A}{\pi a^{2}} \sqrt{\dfrac{h}{g}}\)
4 \(\dfrac{A}{\sqrt{2} \pi a^{2}} \sqrt{\dfrac{h}{g}}\)