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JEE Main2016PhysicsUnits and DimensionsActual

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

Options

  1. AC B D - A 2 D 2 C
  2. BA 2 - B 2 C 2
  3. CA B - C
  4. DA 2 − A C D

Correct answer

D. A 2 − A C D

Step-by-step solution

The dimension of A is not equal to the dimension of C Hence it is not possible to subtract A C from A 2

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