1. Tardigrade
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  3. Physics
  4. 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 ?

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Q. $A, B, C$ 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 ?

JEE MainJEE Main 2016Physical World, Units and Measurements

Solution:

$AD = C \ell n ( BD )$
$(B) (D) \rightarrow$ dimensionless
$[ AD ]=[ C ]$
Checking options one by one
$\frac{A-C}{D}$