COMEDK · Physics · 2. Units and Dimensions
The dimensional formula for specific resistance is:
- A \([M\,L^{-3}\,T^{-2}\,A^{-2}]\)
- B \([M\,L^3\,T^3\,A^2]\)
- C \([M\,L^3\,T^{-3}\,A^{-2}]\)
- D \([M\,L^3\,T^{-3}\,A^2]\)
Answer & Solution
Correct Answer
(C) \([M\,L^3\,T^{-3}\,A^{-2}]\)
Step-by-step Solution
Detailed explanation
Specific resistance \(\rho\) is given by \(\rho = \dfrac{R A}{L}\). Resistance \(R = \dfrac{V}{I} = \dfrac{W}{q I} = \dfrac{W}{I^2 t}\). Dimensional formula of work \(W = [M L^2 T^{-2}]\). Dimensional formula of current \(I = [A]\) and time \(t = [T]\). Dimensional formula of…
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