1.

A person in lift is holing 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) of1.2 m from th person. In the following state of the lifts 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 ListII and select the correct answer suwer using th code giv en below the lists. List I, List II.Lift si accelerating vertically1. d= 1.2 mup Q. Lift is accelertiong verticallydown with an accelertion less than the gravitational acceelration R. Lift is moving vertically3. dlt 1.2 mup with constant speed S. Lite is falling freely4. No water leaks out of hte jar .

Answer»

` P-2, Q-3 , R-2 S-4`
`P- 2, Q-3 , R- 1, S-4`
P-1, q-1, R-1 S-4`
P-2 , Q-3 , R - 1 , s-1`

Solution :When lift is accelerationg upwards, with acceleration `a`.
Refer to Fig. 2 (CF) . 58`. Wvlocity of effux,
` v-x = sqrt(2 (g+a) H)`
time taken by water in reaching the floor,
` t= sqrt ( 2 h)/( (g+a))`
:. Horizontal range, ltbRgt ` d= v_x t= sqrt (2 (g +a) H) XX sqrt (2 h)/(g+a) = 2 sqrt (H//h)`
. ,
If lift is acceleration vetically downwards, with accleration `a` then horizontal range,
` d= sqrt(2 (g-a)H) xx sqrt (2 h)/(g-a) = 2 sqrt Hh`
When lift is moving vertically up with constant speed then ` d= sqrt (2 gH) xx sqrt (2h)/g` = 2 sqrt H h`
when lift is falling FREELY, then the warter jar is in weightlessness state. Hence, no water leaks out of jet.theus, option (c) is TRUE.


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