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Question

For a circuit, L, C and R represent the inductance, capacitance and resistance. Then, the dimensional formula for C2LR is
  1. [MLT]
  2. [M0L0TI0]
  3. [M0L0T3I0]
  4. [M2L2T0I0]

A
[MLT]
B
[M0L0TI0]
C
[M2L2T0I0]
D
[M0L0T3I0]
Solution
Verified by Toppr

The ratio of inductance L to resistance R is time constance T, hence, we have
[LR]=T and LC=T
Using these two relation we have
C2LR=[C2L2]×[LR]=[T4]×[1T]=[T3]

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