A) \[[M{{L}^{2}}{{T}^{2}}{{I}^{-1}}]\]
B) \[[M{{L}^{2}}{{T}^{2}}{{I}^{-2}}]\]
C) \[[M{{L}^{-2}}{{T}^{-2}}{{I}^{-1}}]\]
D) \[[M{{L}^{-2}}{{T}^{-2}}{{I}^{-2}}]\]
Correct Answer: A
Solution :
Magnetic flux \[\text{o }\!\!|\!\!\text{ =}\,\text{BA}\] ...(i) and also F = ilB or \[B=\frac{F}{il}\] ?(ii) Now, from Eqs. (i) and (ii) \[\text{o }\!\!|\!\!\text{ =}\frac{FA}{il}\] Dimensions of \[\text{o }\!\!|\!\!\text{ =}\frac{\dimensions\,of\,F\times \dimensions\,of\,A}{[I]\times [L]}\] \[=\frac{[ML{{T}^{-2}}][{{L}^{2}}]}{[I][L]}\] \[=[M{{L}^{2}}{{T}^{-2}}{{I}^{-1}}]\]
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