alleryThe dimensional formula of the magnetic field B (in SI units of tesla) is:
A[M T⁻² A⁻¹]
B[M L T⁻² A⁻¹]
C[M L² T⁻²]
D[M T⁻¹ A⁻¹]
Answer & Solution
Correct answer: A. [M T⁻² A⁻¹]
1. From F = q v B: B = F / (q v).
2. [F] = [M L T⁻²]; [q] = [A T]; [v] = [L T⁻¹].
3. [B] = [M L T⁻²] / ([A T] · [L T⁻¹]) = [M T⁻² A⁻¹].
4. SI unit: tesla T = kg s⁻² A⁻¹ = N / (A·m).
_Source: syllabus Physics Ch 4 §4.2 Dimensional Analysis_
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