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# Identify the pair whose dimensions are equal

$(a)\;torque\; and\;work\quad (b)\;stress\;and\;energy\quad (c)\;force\;and\;stress\quad (d)\;force \;and\;work$

$W=Fs\cos \theta$
$\quad=[MLT^{-2}][L]=[ML^2T^{-2}]$
$T=\hat r \times \hat F=rF \sin \theta$
$\quad=[L][MLT^{-2}]=[ML^2T^{-2}]$
torque and work dimensions are equal.
Hence a is the correct answer.

edited Jan 9, 2014 by meena.p