Manipal MET2010PhysicsUnits and Dimensions
If force is proportional to square of velocity, then the dimensions of proportionality constant is
Options
- A[ ML ⁻¹ ~T ]
- B[ ML ⁻¹ ~T ^0 ]
- C[ MLT ^0 ]
- D[ M ^0 LT ⁻¹ ]
Correct answer
B. [ ML ⁻¹ ~T ^0 ]
Step-by-step solution
As F v^2 or F=k v^2 k= F v^2 [k]= [F] [v^2 ] = [ MLT ⁻² ] [ L ^2 ~T ⁻² ] = [ ML ⁻¹ ~T ^0 ]