Physics - Unit & Dimension Question with Solution | TestHub

(1) Energy density, $\begin{array}{rl}& =\frac{\text{ Energy }}{\text{ Volume }}\\ & =\frac{\left[{\mathrm{ML}}^2{\mathrm{T}}^{-2}\right]}{\left[{\mathrm{L}}^3\right]}=\left[{\mathrm{ML}}^{-1}{\mathrm{T}}^{-2}\right]\end{array}$ (2) Refractive index hole no dimensions. (3) Dielectric constant has no dimensions. (4) Young's modulus, $Y=\frac{Fl}{A\Delta l}=\frac{\left[{\mathrm{MLT}}^{-2}\right][\mathrm{L}]}{\left[{\mathrm{L}}^2\right][\mathrm{L}]}=\left[{\mathrm{ML}}^{-1}{\mathrm{T}}^{-2}\right]$ (5) Magnetic field, $B=\frac{F}{Il}=\frac{\left[{\mathrm{MLT}}^{-2}\right]}{[\mathrm{A}][\mathrm{L}]}=\left[{\mathrm{MT}}^{-2}{\mathrm{A}}^{-1}\right]$ Therefore, option (c) is correct.