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

The dimensional formula ML⁻¹T⁻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 [ ] = [F] [A][ dv dx ] = MLT⁻² L^2 T⁻¹ = ML⁻¹T⁻¹ . The dimensional formula for surface tension is [S] = [F] [L] = MLT⁻² L = MT⁻² . The dimensional formula for modulus of elasticity is [E] = Stress Strain = [F]/[A] 1 = MLT⁻² L^2 = ML⁻¹T⁻² . The dimensional formula for moment of a force is [ ] = [r][F] = L MLT⁻² = ML^2T⁻² . Thus, ML⁻¹T⁻² represents modulus of elasticity.

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