Physics

If $$'m$$' is the mass of a body, $$'a'$$ is amplitude of vibration, and $$'w '$$ is the angular frequency then  $$\frac { 1 }{ 2 } { ma }^{ 2 }{ w }^{ 2 }$$ has same dimensional formula as :


ANSWER

all the above


SOLUTION
Dimension of $$\dfrac{1}{2}ma^{2}w^{2}=ML^{2}\left ( \dfrac{1}{T^{2}} \right )=ML^{2}T^{-2}$$
Work$$=F.d\left ( force\times distance \right )=\left ( \dfrac{ML}{T^{2}} \right )\times L=ML^{2}T^{-2}$$
Moment of force $$=\underset{f}{\rightarrow}\times \underset{r}{\rightarrow}=\left [ \dfrac{ML}{T^{2}} \right ]\times L=ML^{2}T^{-2}$$
Energy = work = $$ML^{2}T^{-2}$$
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