Question

A closed cubical box 0.8m on each side is half filled with water and the other half being filled with oil of specific gravity 0.75 then the pressure difference at the bottom and top layer in pascal

Answer 1

Answer:

0.15

Explanation:

जीरो पॉइंट 15 सेंटीमीटर

Answer 2

Given:

A closed cubical box 0.8m on each side is half filled with water and the other half being filled with oil of specific gravity 0.75.

To find:

The pressure difference at the bottom and top layer in pascal ?

Calculation:

Pressure at the oil-water interface :

$\therefore \: P1 = (\rho_{oil})gh$

$\implies\: P1 = 750 \times 10 \times \dfrac{0.8}{2}$

$\implies\: P1 = 750 \times 10 \times 0.4$

$\implies\: P1 = 3000 \: Pa$

Pressure at the bottom of the box :

$\therefore \: P2 = (\rho_{oil})gh + (\rho_{water})gh$

$\implies\: P2= ( 750 \times 10 \times \dfrac{0.8}{2}) + (1000 \times 10 \times \dfrac{0.8}{2} )$

$\implies\: P2= 3000 + 4000$

$\implies\: P2=7000 \: Pa$

So, the required difference :

$\therefore \: \Delta P = P2 - P1$

$\implies\: \Delta P = 7000 - 3000$

$\implies\: \Delta P = 4000 \: Pa$

So, the difference in pressure is 4000 Pa.