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JEE Main202227 Jun 2022Evening ShiftPhysicsUnits and DimensionsActual

If L , C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

Options

  1. AL C
  2. BL R
  3. CC R
  4. DL C

Correct answer

D. L C

Step-by-step solution

Dimensions of L is M L 2 T - 2 A - 2 Dimensions of C is M - 1 L - 2 T 4 A 2 And dimensions of R is M L 2 T - 3 A - 2 Clearly, dimensions of L C = T , Dimensions of L R = T , Dimensions of C R = T and Dimensions of L C = M L 2 T - 2 A - 2 M - 1 L - 2 T 4 A 2 = M 2 L 4 T - 6 A - 4 = R 2

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