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Chemical Engineering Basics - Engineering

Q1:

The dimensions of Planck's constant is the same as that of the

A kinetic energy

B momentum

C electrostatic potential

D none of these

ANS:D - none of these

Planck's constant (ℎh) has dimensions of energy multiplied by time ([ℎ]=J⋅s[h]=J⋅s) or momentum multiplied by distance ([ℎ]=kg⋅m2/s[h]=kg⋅m2/s). None of the options provided (kinetic energy, momentum, electrostatic potential) have the same dimensions as Planck's constant.

  • Kinetic energy (KE) has dimensions of energy (JJ).
  • Momentum (p) has dimensions of mass times velocity (kg⋅m/skg⋅m/s).
  • Electrostatic potential (V) has dimensions of energy per charge (J/CJ/C).
Therefore, none of these quantities have the same dimensions as Planck's constant.