Match the quantities with their dimensions: (a) magnetic field, (b) permittivity of free space, (c) moment of inertia, (d) velocity; (i) ML², (ii) M⁻¹L⁻³T⁴A², (iii) MT⁻²A⁻¹, (iv) LT⁻¹.
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Question

Match the quantities with their dimensions: (a) magnetic field, (b) permittivity of free space, (c) moment of inertia, (d) velocity; (i) ML², (ii) M⁻¹L⁻³T⁴A², (iii) MT⁻²A⁻¹, (iv) LT⁻¹.

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G1 Physics · Accepted Answer

From F=qvB, [B]=MT⁻²A⁻¹ → (iii). From Coulomb's law, [ε₀]=M⁻¹L⁻³T⁴A² → (ii). Moment of inertia has dimension ML² → (i), and velocity LT⁻¹ → (iv).