Q107 / 180 · AIIMS 2002 · Physics

The dimension of torque is

  • Correct answer
    A
    $\left[\mathrm{MT}^{-2}\right]$
  • B
    $\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]$
  • C
    $\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$
  • D
    $\left[\mathrm{ML}^3 \mathrm{~T}^{-3}\right]$.

Solution

Torque, $\tau=$ force $\times$ distance. Therefore dimension of torque $=$ dimensions of force $\times$ dimensions of distance $=\left[\mathrm{MLT}^{-2}\right][\mathrm{L}]=\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$.

Hence, the correct answer is option: 'A'.

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