Physics - Unit & Dimension Question with Solution | TestHub

$Y\propto F^a{V}^b{A}^c Y=\left(\frac{F}{A}\right)$

$\frac{ML{T}^{-2}}{L^2}\propto {\left(M^1{L}^1{T}^{-2}\right)}^a{\left(L^1{T}^{-1}\right)}^b{\left(L^2\right)}^c$

${\mathrm{M}}^1{\mathrm{L}}^{-1}{\mathrm{T}}^{-2}\propto {\mathrm{M}}^{\mathrm{a}}{\mathrm{La}}^{+}\mathrm{b}+2\mathrm{cT}-2\mathrm{a}-\mathrm{b}$

$a + b + 2c = –1$

$–2a + b = –2$

$a = 1, b = 0, c = –1$

$Y=F^1{V}^0{A}^{-1}$