Question

You are originally 1.0 m beneath the surface of a pool. If you dive to 2.0 m beneath the surface, what happens to the absolute pressure on you?
A. It does not change.
B. It less than doubles.
C. It more than doubles.
D. It quadruples.
E. It doubles.

Answer 1

Answer:

It less than doubles.

Explanation:

It is given that,

You are originally 1.0 m beneath the surface of a pool, h = 1 m

If you dive to 2.0 m beneath the surface, h' = 2 m

The absolute pressure acting on the person is given by :

$P=P_a+\rho gh$

$P_a$ is the atmospheric pressure

If h = 1

$P_1=P_a+\rho g$

$P_1=1.013\times 10^5+1000\times 9.8$

$P_1=111100\ Pa$

If h = 2

$P_2=P_a+2\rho g$

$P_2=1.013\times 10^5+1000\times 9.8\times 2$

$P_2=120900\ Pa$

When the height becomes doubles, the absolute pressure on you becomes less than doubles. Hence, the correct option is (B).