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Units and Measurements
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According to the principles of Units and Measurements, if an object is subjected to specific conditions governing the equation $B = \frac{\mu_0 I}{2\pi r}$, which of the following expressions represents the derived dimension?A $[M L^2 T^{-2}]$B $[M L T^{-1}]$C $[M L^{-1} T^{-2}]$D $[M^0 L^0 T^0]$
In Units and Measurements, dimensions can be derived from standard equations. Energy/Work dimension is $[M L^2 T^-2]$.
Applying standard dimensional analysis from Units and Measurements, we break down the formula $B = \frac{\mu_0 I}{2\pi r}$. By substituting mass $M$, length $L$, and time $T$, we achieve the dimension $[M L^2 T^-2]$.