Question

Check the correctness of the equation P = hpg

Answer 1

11th/Physics

Unit and Dimensions

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$.$

Cheers!

Answer 2

checking the correct ana of equations