Concepts Of Physics MCQ Edition [Volume 1]PhysicsSome Mechanical Properties of Matter
The dimensional formula ML⁻¹T⁻² can represent
Options
- Acoefficient of viscosity
- Bsurface tension
- Cmodulus of elasticity
- 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.