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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Introduction to Physics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Introduction to Physics

The dimensions ML^ -1 T^ -2 can correspond to

The dimensions ML−1T−2ML^{-1}T^{-2} can correspond to

Options

  1. Awork done by a force
  2. Bpressure
  3. Cenergy per unit volume
  4. Dlinear momentum

Correct answer

C. energy per unit volume

Step-by-step solution

Work done by a force =[MLT−2][L]=[ML2T−2]= [MLT^{-2}][L] = [ML^2T^{-2}]

Pressure =ForceArea=[MLT−2][L2]=[ML−1T−2]= \dfrac{\text{Force}}{\text{Area}} = \dfrac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]

Energy per unit volume =EnergyVolume=[ML2T−2][L3]=[ML−1T−2]= \dfrac{\text{Energy}}{\text{Volume}} = \dfrac{[ML^2T^{-2}]}{[L^3]} = [ML^{-1}T^{-2}]

Linear momentum =Mass×Velocity=[M][LT−1]=[MLT−1]= \text{Mass} \times \text{Velocity} = [M][LT^{-1}] = [MLT^{-1}]

Both pressure and energy per unit volume correspond to the dimensions ML−1T−2ML^{-1}T^{-2}.
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