At what respective value of a, b, and c would the unit of work, the joule, be dimensionally similar to Ma Lb Tc?
- 1, – 2, 1
-
1, 2, – 2
- 1, 1, –2
- 2, 2, 1
The correct answer is: B
Explanation
Work (w) = Force (f) × Distance (d)Note: f = ma = mass × acceleration
= mass ×acceleration ×distance
= kg ×ms–2 × m
= kg m2 5–2
(Note: the dimension of kg = M, M = L & S = T)
Work = ML2 T–2 = Ma Lb Tc
i.e. Ma Lb Tc = as 1, b = 2, c = –2
The value of a, band c = 1, 2, –2
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