Which one of the following is not measured in the units of energy?

(Couple)

\times

(angle turned through)

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Moment of inertia

\times

(angular velocity)

^{2}

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Force

\times

Distance

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Impulse

\times

Time

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Solution

The correct option is C Impulse $\times$ Time
Energy $= M^{1} L^{2} T^{- 2}$

Couple $\times$ (angle turned through) $= \to r \times \to f \times θ = (L^{1}) (M^{1} L^{1} T^{- 2}) (M^{0} L^{0} T^{0}) = M^{1} L^{2} T^{- 2}$

(Moment of Inertia) $\times$ (Angular velocity $)^{2} = (M R^{2}) \times (ω^{2}) = (M^{1}) (L^{2}) (T^{- 2}) = M^{1} L^{2} T^{- 2}$

Force $\times$ distance $= M^{1} L^{1} T^{- 2} \times L^{1} = M L^{2} T^{- 2}$

Impulse $\times$ time $= (f \times t) \times t = M^{1} L^{1} T^{- 2} \times T \times T = M^{1} L^{1} \to$ not a unit of energy

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