Identify the pair whose dimensions are equal.

Torque and work

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Stress and energy

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Force and stress

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Force and work

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Solution

The correct option is A
Torque and work

$T o r q u e = F o r c e \times P e r p e n d i c u l a r d i s t a n c e = [M L T^{- 2}] [L] = [M L^{2} T^{- 2}]$
$W o r k = F o r c e \times D i s p l a c e m e n t = [M L T^{- 2}] [L] = [M L^{2} T^{- 2}]$

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