# A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless.  But we know that the equation AD = C ln(BD) holds true.  Then which of the combination is not a meaningful quantity ?Option 1)  Option 2)  Option 3)  Option 4)

Hence

&

Relevent Concept here is :

Dimension -

The power to which fundamental quantities must be raised in order to express the given physical quantities.

-

Option 1)

Dimensions of A & B.C are same.

Option 2)

Dimension of  are not same hence its meaningless.

Option 3)

Since A D & C are of same dimension hence its meaningful.

Option 4)

Its meaningful.

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