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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Some Mechanical Properties of Matter

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Some Mechanical Properties of Matter

The dimensional formula ML^ -1 T^ -2 can represent

The dimensional formula ML−1T−2ML^{-1}T^{-2} can represent

Options

  1. Acoefficient of viscosity
  2. Bsurface tension
  3. Cmodulus of elasticity
  4. Dmoment of a force

Correct answer

C. modulus of elasticity

Step-by-step solution

The dimensional formula for coefficient of viscosity is [η]=[F][A][dvdx]=MLT−2L2T−1=ML−1T−1[\eta] = \dfrac{[F]}{[A][\dfrac{dv}{dx}]} = \dfrac{MLT^{-2}}{L^2 T^{-1}} = ML^{-1}T^{-1}.

The dimensional formula for surface tension is [S]=[F][L]=MLT−2L=MT−2[S] = \dfrac{[F]}{[L]} = \dfrac{MLT^{-2}}{L} = MT^{-2}.

The dimensional formula for modulus of elasticity is [E]=StressStrain=[F]/[A]1=MLT−2L2=ML−1T−2[E] = \dfrac{\text{Stress}}{\text{Strain}} = \dfrac{[F]/[A]}{1} = \dfrac{MLT^{-2}}{L^2} = ML^{-1}T^{-2}.

The dimensional formula for moment of a force is [τ]=[r][F]=L⋅MLT−2=ML2T−2[\tau] = [r][F] = L \cdot MLT^{-2} = ML^2T^{-2}.

Thus, ML−1T−2ML^{-1}T^{-2} represents modulus of elasticity.
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