A) \[R{{L}^{-1}}\]
B) \[{{R}^{-1}}{{C}^{-1}}\]
C) \[{{L}^{-1/2}}{{C}^{-1/2}}\]
D) \[RCL\]
Correct Answer: D
Solution :
Key Idea : Frequency\[=\frac{1}{time\,\,constant}\] 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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