Manipal MET2019PhysicsUnits 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[ ML T ^0 ]
- D[ M ^0 LT ⁻¹ ]
Correct answer
B. [ ML ⁻¹ ~T ^0 ]
Step-by-step solution
According to the question, F v^2 or aligned F & =k v^2 k & = F v^2 [ MLT ⁻² ] [ L ^2 ~T ⁻² ] = [ ML ⁻¹ ~T ^0 ] aligned