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If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are:

1. [FV⁻¹]
2. [FV⁻²]
3. [FV⁻¹T⁻¹]
4. [FV⁻¹T]

Correct answer: [FV⁻²]

Solution

Using the relation F = ma, we know mass m = F/V² when velocity and time are fundamental units. Thus, the dimension of mass is [FV⁻²].

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