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

Asked in JEE Main 27th June 2nd Shift 2022 · Pairs with the same dimensions

Answer: (4) L/C

Step-by-step solution

Given: L=[ML²T⁻²A⁻²], C=[M⁻¹L⁻²T⁴A²], R=[ML²T⁻³A⁻²].

RC=[T] and L/R=[T] and √LC=[T].

L/C=([ML²T⁻²A⁻²])/([M⁻¹L⁻²T⁴A²])=[M²L⁴T⁻⁶A⁻⁴].

That is a resistance squared, not a time, so L/C is the odd one.

Why the other options are wrong

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