Question

Identify the pair whose dimensions are equal

1. force and work
2. torque and work
3. stress and energy
4. force and stress

Answer 1

The correct option is B.

The dimensions of torque and work are equal. Both have dimensions as [ML²T^-2] 

Explaination:

Work (W) = \(\vec{F}.\vec{s} = Fs cosθ \)
= [MLT^-2][L] = [ML²T^-2];

Torque \(=\vec{r}\times\vec{F}=rF\sin\theta\)

= [L] [MLT^-2] = [ML²T^-2]

So dimension of torque and work are same.

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