Question

Derive the Relation P= density× gravity× height formula to calculate atmospheric pressure?? ​

Answer 1

Derivation :

as we know,

$: \to \bf \: Pressure (p)= \frac{Force (F)}{Area(A)}$

$: \to \bf p = \frac{ m \: g}{A} \sf \: \: \: \: \: \: \: \: [ \because \: acceleration \: \: due \: \: to \: \: gravity ]$

$: \to \bf \: p = \frac{ \rho \: v \: g}{A} \sf \: \: \: [ \: \because Mass (m)= density (\rho) × Volume ( v) \: ]$

$: \to \bf \: p = \frac{ \rho \times \: \cancel{A}×h \: \times g}{ \cancel{A}}$

$\large \green {\boxed{ : \to \bf \green{p = h \rho \: g}}}$

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