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Question Number 132173 by I want to learn more last updated on 11/Feb/21

$$\mathrm{If}\mathrm{v}=\frac{\sqrt{\mathrm{p}+\frac{1}{\mathrm{n}}}}{\mathrm{x}},\mathrm{where}\mathrm{p}=\mathrm{pressure}.$$$$\mathrm{find}\mathrm{the}\mathrm{dimension}\mathrm{of}\mathrm{n}\mathrm{and}\mathrm{x}$$

Commented by mr W last updated on 12/Feb/21

$$questionisincomplete!$$$$ifdimensionofvisnotgiven,you$$$${can}^{\prime }tdeterminedimensionofx.$$$$$$$$assumevisvelocity$$$$\left[v\right]=\frac{m}{s}$$$$\left[p\right]=\frac{N}{m^2}$$$$\left[n\right]=\frac{1}{\left[p\right]}=\frac{m^2}{N}$$$$\left[x\right]=\frac{\sqrt{\left[p\right]}}{\left[v\right]}=\frac{\sqrt{\frac{N}{m^2}}}{\frac{m}{s}}=\frac{s\sqrt{N}}{m^2}$$

Commented by I want to learn more last updated on 12/Feb/21

$$\mathrm{Thanks}\mathrm{sir}.\mathrm{I}\mathrm{now}\mathrm{understand}.\mathrm{I}\mathrm{appreciate}.$$

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