A person in 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 of 1.2 m from the person [2014]

Question

A person in 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, 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. [2014]

	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

Code:

Smart Achievers · Accepted Answer

(3)

Horizontal distance,

$d = v \times t$

$= \sqrt{2 g h_{2}} \times \sqrt{\frac{2 h_{1}}{g}}$

$= 2 \sqrt{h_{1} h_{2}}$

If $g_{eff} > g$

$g_{eff} = g$

$g_{eff} < g$

In all the three cases, $d = 2 \sqrt{h_{1} h_{2}} = 1.2 m$

If $g_{eff} = 0,$ then no water leaks out as there will be no pressure difference.

Solution

1 P-2, Q-3, R-2, S-4

2 P-2, Q-3, R-1, S-4

3 P-1, Q-1, R-1, S-4

4 P-2, Q-3, R-1, S-1

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