Young's modulus of a material has the same units as
A
Pressure
B
Strain
C
Compressibility
D
Force
Medium
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A
Pressure
a (a) $Y = \frac{{{\rm{Stress}}}}{{{\rm{Strain}}}} = \frac{{{\rm{Force/Area}}}}{{{\rm{Dimensionless}}}} \Rightarrow Y \equiv {\rm{Pressure}}$.
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A force is represented by $\mathrm{F}=a \mathrm{x}^2+\mathrm{bt}^{1 / 2}$. Where $\mathrm{x}=$ distance and $\mathrm{t}=$ time. The dimensions of $\mathrm{b}^2 / \mathrm{a}$ are :
The dimensional formula for a physical quantity $x$ is $\left[ M ^{-1} L ^{3} T ^{-2}\right]$. The errors in measuring the quantities $M , L$ and $T$ respectively are $2 \%, 3 \%$ and $4 \%$. The maximum percentage of error that occurs in measuring the quantity $x$ is