Question
Write the dimensions of:
  1. Linear density.
  2. Power.
  3. Impulse.
  4. Velocity gradien.
  5. Mass per unit area.
  6. Kinetic energy.
  7. Angular acceleration.
  8. Couple.
  9. Moment of force.
  10. Work done.

Answer

$i. \left[M L^{-1} T^0\right)$
$ii. \left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]$
$iii. \left[M L T^{-1}\right)$
$iv. \left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^{-1}\right]$
$v. \left[\mathrm{ML}^{-2} \mathrm{~T}^0\right)$
$vi. \left[M^1 L^2 T^{-2}\right]$
$vii. \left[M^0 L^0 \mathrm{~T}^{-2}\right]$
$viii. \left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$
$ix. \left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$
$x. \left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]$.

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