To determine the dimensions of the magnetic field ($B$), often referred to as magnetic field intensity in older contexts or competitive exams, we can use the Lorentz force formula: $F = q(\mathbf{v} \times \mathbf{B})$ . From this, the magnitude of the magnetic field is $B = F / (qv \sin \theta)$. According to the sources, the dimensional formulae for the relevant quantities are:

1. Force ($F$): $[MLT^{-2}]$ .
2. Charge ($q$): $[IT]$ or $[AT]$ .
3. Velocity ($v$): $[LT^{-1}]$ .

Substituting these dimensions into the formula for $B$: $[B] = [MLT^{-2}] / ([AT] \times [LT^{-1}]) = [MLT^{-2}] / [LAT] = [MT^{-2}A^{-1}]$ .

This is represented as $[ML^0T^{-2}A^{-1}]$, matching Option C. It is important to note that modern NCERT textbooks define 'Magnetic Intensity' ($H$) as having dimensions $[L^{-1}A]$ , but the context of the options confirms the question refers to the magnetic induction field ($B$).