NEETPhysicsUnits and Dimensions
If and S respectively denote the coefficient of viscosity and surface tension of a liquid, then the ratio S has the dimensions of:
Options
- A[M^0 L^1 T⁻¹]
- B[M^0 L⁻¹ T^1]
- C[M^2 L⁻¹ T⁻³]
- D[M^0 L⁻² T^1]
Correct answer
B. [M^0 L⁻¹ T^1]
Step-by-step solution
Dimensional formula for the coefficient of viscosity, [ ] = [M L⁻¹ T⁻¹] Dimensional formula for surface tension, [S] = Force Length = [M L T⁻²] [L] = [M T⁻²] Now, taking the ratio: [ S ] = [M L⁻¹ T⁻¹] [M T⁻²] = [M^0 L⁻¹ T^1] Answer: [M^0 L⁻¹ T^1]