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

1. [EV⁻¹T⁻²]
2. [EV⁻²T⁻²]
3. [E⁻²V⁻¹T⁻³]
4. [EV⁻²T⁻¹]

Correct answer: [EV⁻²T⁻²]

Solution

Surface tension has the dimensional formula of force per unit length, which is equivalent to energy per unit area. Using the given fundamental quantities (E, V, T), the dimensional formula of surface tension is derived as [EV⁻²T⁻²].

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