Question

Explain practically that liquid exert same pressure at same height

Answer 1

This proof is conducted after considering Pascal's law holds true i.e. pressure exerted by any point in the fluid is equal in all directions.

Pressure = Force/Area

(multiplying by Length)

= Force×Length/Area×Length

(Since area×length =volume)

= Force×Length/Volume

(Since force=mass×acceleration)

= Mass×Acceleration×Length/Volume

(Since mass/volume = density)

= Density×Acceleration×Length

(Since acceleration is due to gravity)

Pressure=Density×a(due to gravity)×Height

or P=pgh

(Since density and gravity are constant for a particular fluid)

Pressure directly depends on height and for equal height a particular fluid exerts equal pressure.

Hence proved

Answer 2

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