A) \[R{{L}^{-1}}\]
B) \[{{R}^{-1}}{{C}^{-1}}\]
C) \[{{L}^{-1/2}}{{C}^{-1/2}}\]
D) \[RCL\]
Correct Answer: D
Solution :
Key Idea: \[\text{Frequecy}\,\text{=}\,\frac{\text{1}}{\text{time}\,\text{constant}}\] We know that Dimensions of \[R=[M{{L}^{2}}{{T}^{-3}}{{I}^{-2}}]\] Dimensions of \[L=[M{{L}^{2}}{{T}^{-2}}{{I}^{-2}}]\] Dimensions of \[C=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{I}^{2}}]\] Hence, dimensions of \[RCL=[M{{L}^{2}}{{T}^{-1}}{{I}^{-2}}]\] Which are not equal to dimensions of frequency; Note: The constant is given by CR and LC.
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