Units & Dimensions

JEE Main level, single correct, medium

129 of 149

Question 129 of 149

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

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Answer: (D) A2−ACD\dfrac{{A}^{2}-AC}{D}

The dimension of AA is not equal to the dimension of CC

Hence it is not possible to subtract
ACAC from A2{A}^{2}

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