If energy E, velocity v and time T are chosen as fundamental quantities, the dimensional formula of surface tension will be:
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Question

If energy E, velocity v and time T are chosen as fundamental quantities, the dimensional formula of surface tension will be:

G1 Physics · Accepted Answer

Step 1: Surface tension has dimensions [M T⁻²]. Step 2: Put [S]=[E]ᵃ[v]ᵇ[T]ᶜ with [E]=[M L²T⁻²] and [v]=[LT⁻¹]. Step 3: Equating powers gives a=1, b=−2, c=−2. Step 4: Hence [S]=[E v⁻² T⁻²]. Final: Option C.