Question

11 four tanks contain water to the depths shown.
at the bottom of which tank is the pressure due to the water greatest?
a
b
c
d
10 cm
9 cm
8 cm
7 cm
a
b
c
d

Explanation:

Step1: Recall the formula for pressure in a fluid

The pressure \( p \) due to a fluid of density \(
ho \), at a depth \( h \) is given by \( p=
ho gh \), where \( g \) is the acceleration due to gravity. Since all tanks contain water (same \(
ho \)) and \( g \) is constant (\( g = 9.8\ m/s^{2}\)), pressure depends only on \( h \).

Step2: Compare the depths of water in each tank

• Tank A: \( h_{A}=10\ cm = 0.1\ m \)
• Tank B: \( h_{B}=9\ cm=0.09\ m \)
• Tank C: \( h_{C}=8\ cm = 0.08\ m \)
• Tank D: \( h_{D}=7\ cm=0.07\ m \)

Since \( h_{A}>h_{B}>h_{C}>h_{D} \), using \( p =
ho gh \), the pressure is greatest in tank A.

Answer:

A.