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Question

Physics Question on Dimensional Analysis

The dimensional formula for the magnetic field is

A

[MT−2 A−1]\left[MT^{-2}\,A^{-1}\right]

B

[ML2T−1 A−2]\left[ML^{2}T^{-1}\,A^{-2}\right]

C

[MT−2 A−2]\left[MT^{-2}\,A^{-2}\right]

D

[MT−1 A−2]\left[MT^{-1}\,A^{-2}\right]

Answer

[MT−2 A−1]\left[MT^{-2}\,A^{-1}\right]

Explanation

Solution

Magnetic field =\frac{\text{Force}}{\text{Charge \times velocity}}
=[MLT−2][AT][LT−1]=[MA−1T−2]=\frac{\left[MLT^{-2}\right]}{\left[AT\right] \left[LT^{-1}\right]}=\left[MA^{-1} T^{-2}\right]