Question:
$A, B, C$ 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 ?
$A, B, C$ 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 ?
Updated On: Apr 28, 2025
- $A^2 - B^2 C^2$
- $\frac{(A - C)}{D}$
- $\frac{A}{B} - C$
- $\frac{C}{BD} - \frac{AD^2}{C}$
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The Correct Option is B
Solution and Explanation
$AD = C \ell n ( BD )$
$(B) (D) \rightarrow$ dimensionless
$[ AD ]=[ C ]$
Checking options one by one
$\frac{A-C}{D}$
$(B) (D) \rightarrow$ dimensionless
$[ AD ]=[ C ]$
Checking options one by one
$\frac{A-C}{D}$
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