NEET2026PhysicsChapterActual
If and respectively denote the coefficient of viscosity and the density of a liquid, then the ratio has the dimensions of:
Options
- A[M^0 L^2 T⁻¹]
- B[M^0 L⁻² T^1]
- C[M^2 L⁻⁴ T⁻¹]
- D[M^0 L^2 T⁻²]
Correct answer
A. [M^0 L^2 T⁻¹]
Step-by-step solution
The dimensional formula for the coefficient of viscosity is given by: = F A ( dv dx ) [ ] = [M L T⁻²] [L^2] [T⁻¹] = [M L⁻¹ T⁻¹] The dimensional formula for density is: [ ] = Mass Volume = [M L⁻³] The ratio of the coefficient of viscosity to density is: [ ] [ ] = [M L⁻¹ T⁻¹] [M L⁻³] = [M^0 L^2 T⁻¹] Answer: [M^0 L^2 T⁻¹]