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JEE MAIN Physics QUESTION #996
Question 1
Which one is the correct dimensional formula for capacitance in Farad? (\(M, L, T, C\) stand for mass, length, time and charge):
  • \([F] = [C^2 M^{-1} L^{-2} T^2]\)✔️
  • \([F] = [C^2 M^{-2} L^2 T^2]\)
  • \([F] = [CM^{-2}L^{-2}T^{-2}]\)
  • \([F] = [CM^{-1}L^{-2}T^2]\)
Correct Answer Explanation
Capacitance \(C = \frac{Q}{V} = \frac{Q}{\frac{W}{Q}} = \frac{Q^2}{W}\). Dimensions: \(\frac{C^2}{M L^2 T^{-2}} = C^2 M^{-1} L^{-2} T^2\).