Bernoulli’s Principle
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360856 A cylindrical drum, open at the top, contains 15 \(L\) of water. It drains out through a small opening at the bottom.\(5\;L\) water comes out in time \(t_{1}\), the next \(5\;L\) in further time \(t_{2}\) and the last \(5\;L\) in further time \(t_{3}\). Then

1 \(t_{1}>t_{2}>t_{3}\)
2 \(t_{1} < t_{2} < t_{3}\)
3 \(t_{2}>t_{1}=t_{3}\)
4 \(t_{1}=t_{2}=t_{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360857 There is a hole of area a at the bottom of a cylindrical area \(A\). Water is filled upto a height \(h\) and water flows out it in \(t\) second. If water is filled to a height \(4\;h\), it will flow out in time

1 \(\frac{t}{4}\)
2 \(2t\)
3 \(4t\)
4 \(\frac{t}{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360858 A small hole of area of cross-section \(2\,m{m^2}\) is present near the bottom of a fully filled open tank of height \(2\;\,m\). Taking \(g = 10\;m/{s^2}\), the rate of flow of water through the open hole would be nearly

1 \(12.6 \times {10^{ - 6}}\;{m^3}/s\)
2 \(8.9 \times {10^{ - 6}}\;{m^3}/s\)
3 \(2.23 \times {10^{ - 6}}\;{m^3}/s\)
4 \(6.4 \times {10^{ - 6}}\;{m^3}/s\)
NEET - 2019
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360859 A water tank having a uniform cross-section area has an orifice of area of cross-section \(a\) at the bottom through which water is discharging. There is constant inflow of \(Q\) into the tank through another pipe. If \(a\sqrt {2\;g} = K\), the time taken for the water level to rise from \(h_{1}\) to \(h_{2}\) will be

1 \[t = \frac{A}{{2{K^2}}}\left[ \begin{array}{l}
K\left( {\sqrt {{h_1}}  - \sqrt {{h_2}} } \right) - Q\\
\,\,\,\,\,\,\,\,\,\,\,\,\,{\mkern 1mu} {\rm{In}}{\mkern 1mu} \left( {\frac{{Q - K\sqrt {{h_2}} }}{{Q - K\sqrt {{h_1}} }}} \right)
\end{array} \right]\]
2 \(t=\dfrac{3 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
3 \(t=\dfrac{2 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
4 \(t=\dfrac{A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360860 A cup filled with water has a hole in the side, through which the liquid is following out. If the cup is dropped from a height, what will happen to the water flowing from the cup?

1 Flow at the same rate as before
2 It will stop flowing
3 Flow upwards relative to the cup
4 Flow horizontally with respect to the cup
NEET DIGITAL LIBRARY
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360856 A cylindrical drum, open at the top, contains 15 \(L\) of water. It drains out through a small opening at the bottom.\(5\;L\) water comes out in time \(t_{1}\), the next \(5\;L\) in further time \(t_{2}\) and the last \(5\;L\) in further time \(t_{3}\). Then

1 \(t_{1}>t_{2}>t_{3}\)
2 \(t_{1} < t_{2} < t_{3}\)
3 \(t_{2}>t_{1}=t_{3}\)
4 \(t_{1}=t_{2}=t_{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360857 There is a hole of area a at the bottom of a cylindrical area \(A\). Water is filled upto a height \(h\) and water flows out it in \(t\) second. If water is filled to a height \(4\;h\), it will flow out in time

1 \(\frac{t}{4}\)
2 \(2t\)
3 \(4t\)
4 \(\frac{t}{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360858 A small hole of area of cross-section \(2\,m{m^2}\) is present near the bottom of a fully filled open tank of height \(2\;\,m\). Taking \(g = 10\;m/{s^2}\), the rate of flow of water through the open hole would be nearly

1 \(12.6 \times {10^{ - 6}}\;{m^3}/s\)
2 \(8.9 \times {10^{ - 6}}\;{m^3}/s\)
3 \(2.23 \times {10^{ - 6}}\;{m^3}/s\)
4 \(6.4 \times {10^{ - 6}}\;{m^3}/s\)
NEET - 2019
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360859 A water tank having a uniform cross-section area has an orifice of area of cross-section \(a\) at the bottom through which water is discharging. There is constant inflow of \(Q\) into the tank through another pipe. If \(a\sqrt {2\;g} = K\), the time taken for the water level to rise from \(h_{1}\) to \(h_{2}\) will be

1 \[t = \frac{A}{{2{K^2}}}\left[ \begin{array}{l}
K\left( {\sqrt {{h_1}}  - \sqrt {{h_2}} } \right) - Q\\
\,\,\,\,\,\,\,\,\,\,\,\,\,{\mkern 1mu} {\rm{In}}{\mkern 1mu} \left( {\frac{{Q - K\sqrt {{h_2}} }}{{Q - K\sqrt {{h_1}} }}} \right)
\end{array} \right]\]
2 \(t=\dfrac{3 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
3 \(t=\dfrac{2 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
4 \(t=\dfrac{A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360860 A cup filled with water has a hole in the side, through which the liquid is following out. If the cup is dropped from a height, what will happen to the water flowing from the cup?

1 Flow at the same rate as before
2 It will stop flowing
3 Flow upwards relative to the cup
4 Flow horizontally with respect to the cup
Join With Us for More Updates
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360856 A cylindrical drum, open at the top, contains 15 \(L\) of water. It drains out through a small opening at the bottom.\(5\;L\) water comes out in time \(t_{1}\), the next \(5\;L\) in further time \(t_{2}\) and the last \(5\;L\) in further time \(t_{3}\). Then

1 \(t_{1}>t_{2}>t_{3}\)
2 \(t_{1} < t_{2} < t_{3}\)
3 \(t_{2}>t_{1}=t_{3}\)
4 \(t_{1}=t_{2}=t_{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360857 There is a hole of area a at the bottom of a cylindrical area \(A\). Water is filled upto a height \(h\) and water flows out it in \(t\) second. If water is filled to a height \(4\;h\), it will flow out in time

1 \(\frac{t}{4}\)
2 \(2t\)
3 \(4t\)
4 \(\frac{t}{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360858 A small hole of area of cross-section \(2\,m{m^2}\) is present near the bottom of a fully filled open tank of height \(2\;\,m\). Taking \(g = 10\;m/{s^2}\), the rate of flow of water through the open hole would be nearly

1 \(12.6 \times {10^{ - 6}}\;{m^3}/s\)
2 \(8.9 \times {10^{ - 6}}\;{m^3}/s\)
3 \(2.23 \times {10^{ - 6}}\;{m^3}/s\)
4 \(6.4 \times {10^{ - 6}}\;{m^3}/s\)
NEET - 2019
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360859 A water tank having a uniform cross-section area has an orifice of area of cross-section \(a\) at the bottom through which water is discharging. There is constant inflow of \(Q\) into the tank through another pipe. If \(a\sqrt {2\;g} = K\), the time taken for the water level to rise from \(h_{1}\) to \(h_{2}\) will be

1 \[t = \frac{A}{{2{K^2}}}\left[ \begin{array}{l}
K\left( {\sqrt {{h_1}}  - \sqrt {{h_2}} } \right) - Q\\
\,\,\,\,\,\,\,\,\,\,\,\,\,{\mkern 1mu} {\rm{In}}{\mkern 1mu} \left( {\frac{{Q - K\sqrt {{h_2}} }}{{Q - K\sqrt {{h_1}} }}} \right)
\end{array} \right]\]
2 \(t=\dfrac{3 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
3 \(t=\dfrac{2 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
4 \(t=\dfrac{A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360860 A cup filled with water has a hole in the side, through which the liquid is following out. If the cup is dropped from a height, what will happen to the water flowing from the cup?

1 Flow at the same rate as before
2 It will stop flowing
3 Flow upwards relative to the cup
4 Flow horizontally with respect to the cup
For More Updates join with Us
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360856 A cylindrical drum, open at the top, contains 15 \(L\) of water. It drains out through a small opening at the bottom.\(5\;L\) water comes out in time \(t_{1}\), the next \(5\;L\) in further time \(t_{2}\) and the last \(5\;L\) in further time \(t_{3}\). Then

1 \(t_{1}>t_{2}>t_{3}\)
2 \(t_{1} < t_{2} < t_{3}\)
3 \(t_{2}>t_{1}=t_{3}\)
4 \(t_{1}=t_{2}=t_{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360857 There is a hole of area a at the bottom of a cylindrical area \(A\). Water is filled upto a height \(h\) and water flows out it in \(t\) second. If water is filled to a height \(4\;h\), it will flow out in time

1 \(\frac{t}{4}\)
2 \(2t\)
3 \(4t\)
4 \(\frac{t}{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360858 A small hole of area of cross-section \(2\,m{m^2}\) is present near the bottom of a fully filled open tank of height \(2\;\,m\). Taking \(g = 10\;m/{s^2}\), the rate of flow of water through the open hole would be nearly

1 \(12.6 \times {10^{ - 6}}\;{m^3}/s\)
2 \(8.9 \times {10^{ - 6}}\;{m^3}/s\)
3 \(2.23 \times {10^{ - 6}}\;{m^3}/s\)
4 \(6.4 \times {10^{ - 6}}\;{m^3}/s\)
NEET - 2019
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360859 A water tank having a uniform cross-section area has an orifice of area of cross-section \(a\) at the bottom through which water is discharging. There is constant inflow of \(Q\) into the tank through another pipe. If \(a\sqrt {2\;g} = K\), the time taken for the water level to rise from \(h_{1}\) to \(h_{2}\) will be

1 \[t = \frac{A}{{2{K^2}}}\left[ \begin{array}{l}
K\left( {\sqrt {{h_1}}  - \sqrt {{h_2}} } \right) - Q\\
\,\,\,\,\,\,\,\,\,\,\,\,\,{\mkern 1mu} {\rm{In}}{\mkern 1mu} \left( {\frac{{Q - K\sqrt {{h_2}} }}{{Q - K\sqrt {{h_1}} }}} \right)
\end{array} \right]\]
2 \(t=\dfrac{3 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
3 \(t=\dfrac{2 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
4 \(t=\dfrac{A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360860 A cup filled with water has a hole in the side, through which the liquid is following out. If the cup is dropped from a height, what will happen to the water flowing from the cup?

1 Flow at the same rate as before
2 It will stop flowing
3 Flow upwards relative to the cup
4 Flow horizontally with respect to the cup
NEET DIGITAL LIBRARY
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360856 A cylindrical drum, open at the top, contains 15 \(L\) of water. It drains out through a small opening at the bottom.\(5\;L\) water comes out in time \(t_{1}\), the next \(5\;L\) in further time \(t_{2}\) and the last \(5\;L\) in further time \(t_{3}\). Then

1 \(t_{1}>t_{2}>t_{3}\)
2 \(t_{1} < t_{2} < t_{3}\)
3 \(t_{2}>t_{1}=t_{3}\)
4 \(t_{1}=t_{2}=t_{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360857 There is a hole of area a at the bottom of a cylindrical area \(A\). Water is filled upto a height \(h\) and water flows out it in \(t\) second. If water is filled to a height \(4\;h\), it will flow out in time

1 \(\frac{t}{4}\)
2 \(2t\)
3 \(4t\)
4 \(\frac{t}{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360858 A small hole of area of cross-section \(2\,m{m^2}\) is present near the bottom of a fully filled open tank of height \(2\;\,m\). Taking \(g = 10\;m/{s^2}\), the rate of flow of water through the open hole would be nearly

1 \(12.6 \times {10^{ - 6}}\;{m^3}/s\)
2 \(8.9 \times {10^{ - 6}}\;{m^3}/s\)
3 \(2.23 \times {10^{ - 6}}\;{m^3}/s\)
4 \(6.4 \times {10^{ - 6}}\;{m^3}/s\)
NEET - 2019
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360859 A water tank having a uniform cross-section area has an orifice of area of cross-section \(a\) at the bottom through which water is discharging. There is constant inflow of \(Q\) into the tank through another pipe. If \(a\sqrt {2\;g} = K\), the time taken for the water level to rise from \(h_{1}\) to \(h_{2}\) will be

1 \[t = \frac{A}{{2{K^2}}}\left[ \begin{array}{l}
K\left( {\sqrt {{h_1}}  - \sqrt {{h_2}} } \right) - Q\\
\,\,\,\,\,\,\,\,\,\,\,\,\,{\mkern 1mu} {\rm{In}}{\mkern 1mu} \left( {\frac{{Q - K\sqrt {{h_2}} }}{{Q - K\sqrt {{h_1}} }}} \right)
\end{array} \right]\]
2 \(t=\dfrac{3 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
3 \(t=\dfrac{2 A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
4 \(t=\dfrac{A}{K^{2}}\left[K\left(\sqrt{h_{1}}-\sqrt{h_{2}}\right)-Q \operatorname{In}\left(\dfrac{Q-K \sqrt{h_{2}}}{Q-K \sqrt{h_{1}}}\right)\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360860 A cup filled with water has a hole in the side, through which the liquid is following out. If the cup is dropped from a height, what will happen to the water flowing from the cup?

1 Flow at the same rate as before
2 It will stop flowing
3 Flow upwards relative to the cup
4 Flow horizontally with respect to the cup