A cylindrical vessel of height $500 \mathrm{~mm}$ has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height $\mathrm{H}$. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being $200 \mathrm{~mm}$. Find the fall in height (in ${m m}$ ) of water level due to opening of the orifice.
|Take atmospheric pressure $=1.0 \times 10^5 \mathrm{~N} / \mathrm{m}^2$, density of water $=1000 \mathrm{~kg} / \mathrm{m}^3$ and $g=10 \mathrm{~m} / \mathrm{s}^2$. Neglect any effect of surface tension.]
A cylindrical vessel of height $500 \mathrm{~mm}$ has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height $\mathrm{H}$. Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being $200 \mathrm{~mm}$. Find the fall in height (in ${m m}$ ) of water level due to opening of the orifice.
|Take atmospheric pressure $=1.0 \times 10^5 \mathrm{~N} / \mathrm{m}^2$, density of water $=1000 \mathrm{~kg} / \mathrm{m}^3$ and $g=10 \mathrm{~m} / \mathrm{s}^2$. Neglect any effect of surface tension.]
- [IIT 2009]
- A
$6$
- B
$5$
- C
$4$
- D
$3$
Similar Questions
A pump draws water from a tank which is at $2.5\; m$ down from outlet and issues it from the end of a hose which the water is drawn. The cross sectional area is $10\; cm ^{2}$, and the water leaves the end of the hose at a speed of $5\; m / s$. What is the rate at which the pump is working ?
A pump draws water from a tank which is at $2.5\; m$ down from outlet and issues it from the end of a hose which the water is drawn. The cross sectional area is $10\; cm ^{2}$, and the water leaves the end of the hose at a speed of $5\; m / s$. What is the rate at which the pump is working ?
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- [JEE MAIN 2024]
Water is flowing through a channel (lying in a vertical plane) as shown in the figure. Three sections $A, B$ and $C$ are shown. Sections $B$ and $C$ have equal area of cross section. If $P_A, P_B$ and $P_C$ are the pressures at $A, B$ and $C$ respectively then
Water is flowing through a channel (lying in a vertical plane) as shown in the figure. Three sections $A, B$ and $C$ are shown. Sections $B$ and $C$ have equal area of cross section. If $P_A, P_B$ and $P_C$ are the pressures at $A, B$ and $C$ respectively then
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- [AIIMS 2002]
Different heads are in Column - $\mathrm{I}$ and its formulas are given in Column - $\mathrm{II}$. Match them appropriately.
Column - $\mathrm{I}$
Column - $\mathrm{II}$
$(a)$ Velocity head
$(i)$ $\frac{P}{{\rho g}}$
$(b)$ Pressure head
$(ii)$ $h$
$(iii)$ $\frac{{{v^2}}}{{2g}}$
Different heads are in Column - $\mathrm{I}$ and its formulas are given in Column - $\mathrm{II}$. Match them appropriately.
| Column - $\mathrm{I}$ | Column - $\mathrm{II}$ |
| $(a)$ Velocity head | $(i)$ $\frac{P}{{\rho g}}$ |
| $(b)$ Pressure head | $(ii)$ $h$ |
| $(iii)$ $\frac{{{v^2}}}{{2g}}$ |