Properties Of Matter Ques 21

  1. 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 $1.2 \mathrm{~m}$ 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 Adv.)

List I List II
$\mathrm{A}$ Lift is accelerating vertically up. $\mathrm{p}$ $d=1.2 \mathrm{~m}$
Lift is accelerating vertically
down with an acceleration less
than the gravitational acceleration.
$\mathrm{q}$ $d>1.2 \mathrm{~m}$
$\mathrm{C}$ Lift is moving vertically up with
constant speed.
$\mathrm{r}$ $d<1.2 \mathrm{~m}$
$\mathrm{D}$ Lift is falling freely. $\mathrm{s}$ No water
leaks out of
the jar

Codes

(a) A-q, B-r, C-q, D-s

(b) A-q, B-r, C-p, D-s

(c) A-p, B-p, C-p, D-s

(d) A-q, B-r, C-p, D-p

Show Answer

Answer:

Correct Answer: 21.( c )

Solution:

This is independent of the value of $g$.

(A) $g_{\mathrm{eff}}>g \quad d=\sqrt{4 h_1 h_2}=1.2 \mathrm{~m}$

(B) $g_{\mathrm{eff}}<g \quad d=\sqrt{4 h_1 h_2}=1.2 \mathrm{~m}$

(C) $g_{\mathrm{eff}}=g \quad d=\sqrt{4 h_1 h_2}=1.2 \mathrm{~m}$

(D) $g_{\text {eff }}=0$

No water leaks out of jar. As there will be no pressure difference between top of the container and any other point.

$ p_1=p_2=p_3=p_0 $



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