how does the water pressure on a diver changes if:

a.he moves horizontally?

b.he moves to a greater depth?

The formula for water pressure at a depth "h" is

P = ρ g h

we see that ρ, g are constants, and h is a variable. So, pressure is only a function of h. This means pressure varies as the depth h varies.

1. So, if the diver moves horizontally, the h is same, hence there is no difference in pressure.

2. If the diver moves to a greater depth, the h increases. This causes an increase in the Pressure.