Properties of Matter 4 Question 2

4. 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 1.2m 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
A Lift is accelerating vertically up. p d=1.2m
B Lift is accelerating vertically
down with an acceleration less
than the gravitational acceleration.
q d>1.2m
C Lift is moving vertically up with
constant speed.
r d<1.2m
s No water
leaks out of
D

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: 4. (d)

Solution:

  1. Let R be the radius of the meniscus formed with a contact angle θ. By geometry, this radius makes an angle θ+α2 with the horizontal and,

cos(θ+α2)=b/R

Let P0 be the atmospheric pressure and P1 be the pressure just below the meniscus. Excess pressure on the concave side of meniscus of radius R is,

P0P1=2S/R

The hydrostatic pressure gives,

P0P1=hρg

Eliminate (P0P1) from second and third equations and substitute R from first equation to get,

h=2SρgR=2Sbρgcos(θ+α2)



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