Which of the following units denotes the dimension (ML²)/(Q²), where Q denotes the electric charge? (a) Wb/m² (b) Henry (H) (c) H/m² (d) Weber (Wb)

Answer: (b). Energy in an inductor U = 1/2LI², so [L] = [U]/[I²]. [I] = QT⁻¹, so [L] = ML²T⁻²Q²T⁻² = ML²Q⁻². So the answer is (b) Henry.

Which of the following units denotes the dimension (ML²)/(Q²), where… | JEE Main 2006 (AIEEE)

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Units & Dimensions

Which of the following units denotes the dimension $\frac{ML^2}{Q^2}$ , where $Q$ denotes the electric charge?

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Answer: (b)

Energy in an inductor $U = \frac{1}{2}LI^2$ , so $[L] = [U]/[I^2]$ .
$[I] = \mathrm{QT^{-1}}$ , so $[L] = \frac{\mathrm{ML^2T^{-2}}}{\mathrm{Q^2T^{-2}}} = \mathrm{ML^2Q^{-2}}$ .
So the answer is (b) Henry.