The-velocity-of-physical-quantities-is-given-by-v-P-1-n-x-where-P-is-the-pressure-Find-the-dimention-of-n-and-x-

Question Number 94782 by I want to learn more last updated on 21/May/20

The velocity of physical quantities is given by

v = \sqrt{\frac{P + \frac{1}{n}}{x}}, where P is the pressure .

Find the dimention of n and x .

Answered by mr W last updated on 21/May/20

v = [\frac{m}{s}]

p = [\frac{N}{m^{2}}] = \frac{1}{n}

\Rightarrow n = [\frac{m^{2}}{N}]

\frac{[\frac{N}{m^{2}}]}{x} = {([\frac{m}{s}])}^{2} = [\frac{m^{2}}{s^{2}}]

\Rightarrow x = [\frac{N}{m^{2}} \times \frac{s^{2}}{m^{2}}] = [\frac{k g m}{s^{2}} \times \frac{s^{2}}{m^{4}}] = [\frac{k g}{m^{3}}]

i . e . x i s t h e d e n s i t y .

Commented by I want to learn more last updated on 21/May/20

I appeciate sir .