Question

Derive the equation dimensionally

pressure(p)=hpg
​

Answer 1

Explanation:

ANSWER

It is given that the hydrostatic pressure is directly proportional to the following terms

P=Kd

x

h

y

g

z

............(1)

K=constant

Writing dimensional formula of pressure, density, height and acceleration due to gravity as

[

LT

2

M

]=[

L

3

M

]

x

[L]

y

[

T

2

L

]

z

On comparing there powers, we get

x=1

z=1

&y=1

Equation (1) becomes

P=dgh