Question

Dimensional formula for power is .........

(a) M² L^-2 T^-3

(b) M¹ L² T^-2

(c) M¹ L^-3 T^-1

(d) M⁰ L^-2 T^-2

Answer 1

(b) M¹L²T^–2 

Explanation:

Power = (work / time) = [(Force × displacement) / (Time)] i.e. 

P = W/t = [(F ∙ S) / t] 

as Force F = mass × acceleration i.e. F = ma

 ∴ P = [(m ∙ a ∙ s) / t] 

∴ Dimension formula for P = {([M¹][L¹T^–2][L¹]) / [T]} 

= [M¹L²T^–3]