Consider the following equation:   A= BC \frac{\text{d}^2D}{\text{d}E^2} ...

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Consider the following equation:

 A= BC \frac{\text{d}^2D}{\text{d}E^2}

It is known that the dimension of A is [M]/([L][T]²), the dimension of C is [L], the dimension of D is [L]/[T], and the dimension of E is [L]. Note that for the analysis, you can ignore the derivatives \text{d} do not have any dimensions.

Which of the following represents the dimension(s) of B if the equation is dimensionally homogeneous?

[L]/([M][T])

0%

[M]/[L]

0%

[M]/[T]

0%

[M]/([L][T])

0%

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