JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
\(A, B, C\) 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 \(\frac{C}{{BD}} - \frac{{A{D^2}}}{C}\)
- B \({A^2} - {B^2}{C^2}\)
- C \(\frac{A}{B} - C\)
- D \(\frac{{\left( {A - C} \right)}}{D}\)
Answer & Solution
Correct Answer
(D) \(\frac{{\left( {A - C} \right)}}{D}\)
Step-by-step Solution
Detailed explanation
Dimension of \(A \ne \) dimension of \((C)\) Hence \(A - C\) is not possible
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