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The physical quantity that doesn't have appropriate unit is

  • A.Compressibility - \(N^{-1}m^{2}\)
  • B.Latent heat - \(J\,kg^{-1}\)
  • C.Intensity - \(W\,m^{-2}\)
  • D.Energy density - \(J\,m^{-2}\)
  • E.Impulse - \(N\,s\)

Answer: D

The mismatched pair is Energy density - \(J\,m^{-2}\).

Energy density is energy per unit volume, so its SI unit is \(J\,m^{-3}\), not \(J\,m^{-2}\).

The others are right. Compressibility is the reciprocal of bulk modulus, so \((N\,m^{-2})^{-1} = N^{-1}m^{2}\). Latent heat is energy per unit mass, \(J\,kg^{-1}\). Intensity is power per unit area, \(W\,m^{-2}\). Impulse is force times time, \(N\,s\).

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