Units and Measurements · NEET Preparation Physics

Which of the following sets of physical quantities has the same dimensions?

Practice question from Units and Measurements (NEET Preparation Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-B279B8

Which of the following sets of physical quantities has the same dimensions?

  1. A.Planck's constant, angular momentum, and torque
  2. B.Work, torque, and energyCorrect answer
  3. C.Pressure, stress, and strain
  4. D.Velocity, momentum, and impulse

Solution

Work, torque, and energy all have the dimension [ML2T−2][ML^2T^{-2}]. Torque is force times distance ([MLT−2][L]=[ML2T−2][MLT^{-2}][L] = [ML^2T^{-2}]), and work/energy is force times displacement. Planck's constant and angular momentum have dimensions [ML2T−1][ML^2T^{-1}], but torque has [ML2T−2][ML^2T^{-2}], so option A is incorrect. Strain is dimensionless, whereas pressure and stress have dimensions [ML−1T−2][ML^{-1}T^{-2}].

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