Which of the following have same dimension ?

1.	Which of the following have same dimension ?
Answer» `LC` `(R)/(L)` `(L)/(R)` `(C)/(L)` Solution :`LC=(1)/(W^(2)) [ :. (1)/(sqrt(LC))=w]` `:.[LC]=(1)/([W^(2)])=(1)/((M^(0)L^(0)T^(-1))^(2))=M^(0)L^(0)T^(-2)` (B) Unit of `(R)/(L)=("ohm")/("ohm" XX "sec") =(1)/(sec)` `:.[(R)/(L)]=(1)/([sec])=M^(0)L^(0)L^(-1)` `(C)[(L)/(R)]=(1)/([(R)/(L)])=M^(0)L^(0)T^(-1)` (D) UNITS `(C)/(L)=("FARADAY")/("Henry")=(("Columb")/("Volt"))/(ohm xx sec)=(1t)/(V xx RT)` `=(I)/(IRxxR)=(1)/(R^(2))` `:.[(C)/(L)]=[R]^(-2)` `=(M^(1)L^(2)A^(-2))^(-2)` `=M^(-2)L^(-4)T^(6)A^(4)`

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