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Standard XII

Physics

Dimensional Analysis

What are the ...

Question

What are the dimensions of constant G in the equations C where p is the pressure P is the density v is the velocity of liquid flow.

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Solution

The constant $k$ (total head) has dimensions of pressure head i.e., $\frac{N}{m^{2}}$ with dim.formula $M L^{- 1} T^{- 2}$ so unit and dimensional formula for $\frac{k}{{p v}^{2}}$ isDimensionless(nounits)andformulais $M^{0} L^{0} T^{0}$

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What are the dimensions of constant G in the equations C where p is the pressure P is the density v is the velocity of liquid flow.

The constant k (total head) has dimensions of pressure head i.e.,Nm2 with dim.formulaML−1T−2 so unit and dimensional formula for kpv2isDimensionless(nounits)andformulaisM0L0T0

The constant $k$ (total head) has dimensions of pressure head i.e., $\frac{N}{m^{2}}$ with dim.formula $M L^{- 1} T^{- 2}$ so unit and dimensional formula for $\frac{k}{{p v}^{2}}$ isDimensionless(nounits)andformulais $M^{0} L^{0} T^{0}$