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ML2T-2 is the dimensional formula for

  • A.Moment of inertia
  • B.Pressure
  • C.Elasticity
  • D.Couple acting on a body

Answer: D

\(\mathrm{ML^2T^{-2}}\) is the dimensional formula of a couple, or torque.

Torque is force times perpendicular distance: \(\mathrm{MLT^{-2}} \times \mathrm{L} = \mathrm{ML^2T^{-2}}\). Work and energy share these dimensions, though torque is a vector and they are scalars. Moment of inertia is \(\mathrm{ML^2}\) and pressure \(\mathrm{ML^{-1}T^{-2}}\).

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