check the correctness of the equation p=hpg
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Answer :
➤ The principle of homogeneity of dimensions is used in checking the correctness of formulae, and also in the derivation of formulae.
★ Dimensions of LHS :
➙ Pressure (P)
➙ [M¹L‾¹T‾²]
★ Dimensions of RHS :
➠ ρ × g × H
ρ denotes density
g denotes acceleration
H denotes height
➠ [M¹L‾³] [L¹T‾²] [L¹]
➠ [M¹L‾¹T‾²]
LHS = RHS
Therefore, The given equation is dimensionally correct!
Remember
: A dimensionally consistent equation need not be actually an exact or correct equation, but a dimensionally wrong or incorrect equation must be wrong..
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