Which of the following dimensions will be the | vedclass

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(B) The dimension of resistance $R$ is $[M L^2 T^{-3} I^{-2}]$.The dimension of inductance $L$ is $[M L^2 T^{-2} I^{-2}]$.The dimension of capacitance

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$\frac{L}{R}$

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(B) The dimension of resistance $R$ is $[M L^2 T^{-3} I^{-2}]$.The dimension of inductance $L$ is $[M L^2 T^{-2} I^{-2}]$.The dimension of capacitance $C$ is $[M^{-1} L^{-2} T^4 I^2]$.Checking option $B$:$\frac{L}{R} = \frac{[M L^2 T^{-2} I^{-2}]}{[M L^2 T^{-3} I^{-2}]} = [T^1] = T$.Checking option $C$:$\sqrt{LC} = \sqrt{[M L^2 T^{-2} I^{-2}] \cdot [M^{-1} L^{-2} T^4 I^2]} = \sqrt{[T^2]} = [T^1] = T$.Since both $B$ and $C$ result in the dimension of time,the question implies identifying expressions with time dimensions. Given the standard format,both $\frac{L}{R}$ and $\sqrt{LC}$ are correct.

Which of the following dimensions will be the same as that of time?

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