JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
\(L\), \(C\) and \(R\) represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula \(ML^2 T^{-4} A^{-2}\) corresponds to __________.
- A \(\dfrac{R}{\sqrt{LC}}\)
- B \(\dfrac{R}{LC}\)
- C \(\dfrac{C}{\sqrt{LR}}\)
- D \(\dfrac{1}{R}\sqrt{\dfrac{L}{C}}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{R}{\sqrt{LC}}\)
Step-by-step Solution
Detailed explanation
Dimensional formula of inductance \(L\) is obtained from \(E = \dfrac{1}{2}LI^2\): \([L] = \dfrac{[E]}{[I]^2} = \dfrac{ML^2T^{-2}}{A^2} = ML^2T^{-2}A^{-2}\) Dimensional formula of capacitance \(C\) is obtained from \(E = \dfrac{1}{2}\dfrac{Q^2}{C}\):…
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