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EXAM PREPARATION

Objective Question & Answer

QUESTION

Objective Question

Q.1

Three containers are filled with water upto the same height as shown. The pressure at the

bottom of the containers are denoted as P1, P2 and P3. Which one of the following

relationships is true?

A
P3 > P2 > P1
B
P2 > P1 > P3
C
P1 > P2 = P3
D
P1= P2 = P3
Answer ( Option D)

P1= P2 = P3

Solution

The pressure at a depth hhh in a liquid is given by

P=ρgh

(where ρ is the density of the liquid and g is acceleration due to gravity).

This pressure depends only on the vertical height of the liquid column above the point and is

independent of the shape or cross-sectional area of the container (hydrostatic paradox).

In the given figure, all three containers are filled with water to the same height. Therefore the

pressure at the bottom of each container is the same:

P1=P2=P3

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