(A) The horizontal range $d$ of a water jet from a hole at height $h_2$ from the bottom,with $h_1$ being the height of water above the hole,is given b

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(A) The horizontal range $d$ of a water jet from a hole at height $h_2$ from the bottom,with $h_1$ being the height of water above the hole,is given by $d = v \cdot t = \sqrt{2gh_1} \cdot \sqrt{\frac{2h_2}{g}} = 2\sqrt{h_1 h_2}$.Here,$g$ is the effective acceleration due to gravity $(g_{eff})$ inside the lift.$P$. When the lift accelerates vertically up,$g_{eff} = g + a > g$. Since $d \propto \frac{1}{\sqrt{g_{eff}}}$,$d$ decreases. Thus,$d $Q$. When the lift accelerates vertically down with $a 1.2 \ m$.$R$. When the lift moves with constant speed,$a = 0$,so $g_{eff} = g$. Thus,$d = 1.2 \ m$.$S$. When the lift is falling freely,$a = g$,so $g_{eff} = g - g = 0$. Since there is no effective gravity,the pressure at the hole is zero,and no water leaks out.Matching: $P-2, Q-3, R-1, S-4$.

Class 11 Physics Fluid Mechanics and Surface Tension Velocity of Efflux and Torricelli's law

$A$ person in a lift is holding a water jar,which has a small hole at the lower end of its side. When the lift is at rest,the water jet coming out of the hole hits the floor of the lift at a distance $d$ of $1.2 \ m$ from the person. In the following,the state of the lift's motion is given in List-$I$ and the distance where the water jet hits the floor of the lift is given in List-$II$. Match the statements from List-$I$ with those in List-$II$ and select the correct answer using the code given below the lists.

List-$I$ List-$II$

$P$. Lift is accelerating vertically up. $1$. $d = 1.2 \ m$

$Q$. Lift is accelerating vertically down with an acceleration less than the gravitational acceleration. $2$. $d < 1.2 \ m$

$R$. Lift is moving vertically up with constant speed. $3$. $d > 1.2 \ m$

$S$. Lift is falling freely. $4$. No water leaks out of the jar.

List-$I$	List-$II$
$P$. Lift is accelerating vertically up.	$1$. $d = 1.2 \ m$
$Q$. Lift is accelerating vertically down with an acceleration less than the gravitational acceleration.	$2$. $d < 1.2 \ m$
$R$. Lift is moving vertically up with constant speed.	$3$. $d > 1.2 \ m$
$S$. Lift is falling freely.	$4$. No water leaks out of the jar.

IIT 2014 All IIT

A
$P-2, Q-3, R-1, S-4$
B
$P-3, Q-2, R-1, S-4$
C
$P-1, Q-1, R-1, S-4$
D
$P-2, Q-3, R-1, S-1$

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Fluid Mechanics and Surface Tension

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Velocity of Efflux and Torricelli's law

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