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

Option 1 - RC

Option 2 - <math> <mrow> <mfrac> <mrow> <mi>L</mi> </mrow> <mrow> <mi>R</mi> </mrow> </mfrac> </mrow> </math>

Option 3 - <math> <mrow> <mroot> <mrow> <mi>L</mi> <mi>C</mi> </mrow> <mrow></mrow> </mroot> </mrow> </math>

Option 4 - <math> <mrow> <mfrac> <mrow> <mi>L</mi> </mrow> <mrow> <mi>C</mi> </mrow> </mfrac> </mrow> </math>

2 Views|Posted 6 months ago

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Answered by

Payal Gupta | Contributor-Level 10

6 months ago

Correct Option - 4

Detailed Solution:

Dimension

RC → [T]

$\frac{L}{R} \to [T]$

$\sqrt[]{L c} \to [T]$

$\frac{L}{C} \to$ dimensionless

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