Machine-translated by Google. Questions are authored in English.
Top

Discussion

The mismatch between the physical quantity and the dimensional formula in the following is

  • A.Force : \(\mathrm{MLT^{-2}}\)
  • B.Torque : \(\mathrm{ML^{2}T^{-1}}\)
  • C.Pressure : \(\mathrm{ML^{-1}T^{-2}}\)
  • D.Heat energy : \(\mathrm{ML^{2}T^{-2}}\)
  • E.Thermal conductivity : \(\mathrm{MLT^{-3}K^{-1}}\)

Answer: B

The mismatch is Torque : \(\mathrm{ML^{2}T^{-1}}\).

Torque is force times distance, so its dimensions are \(\mathrm{MLT^{-2}} \times \mathrm{L} = \mathrm{ML^{2}T^{-2}}\), the same as energy. \(\mathrm{ML^{2}T^{-1}}\) is the dimension of angular momentum.

The others are correct: force \(\mathrm{MLT^{-2}}\); pressure, force per area, \(\mathrm{ML^{-1}T^{-2}}\); heat energy \(\mathrm{ML^{2}T^{-2}}\); thermal conductivity, from \(\frac{Q}{t} = kA\frac{\Delta T}{x}\), \(\mathrm{MLT^{-3}K^{-1}}\).

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.