JEE Main 2016 Physics question
, , , and are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation holds true. Then which of the combination is not a meaningful quantity?
Answer: (4)
Solution
The argument of a logarithm must be dimensionless, so , i.e. . The logarithm itself is then dimensionless, so , giving . Now test each option; a difference is meaningful only when both terms share the same dimensions. **(1)** has
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