AP EAMCET2010PhysicsUnits and Dimensions
If the force is given by F=a t+b t^2 with t as time. The dimensions of a and b are
Options
- A[ MLT ⁻⁴ ], [ MLT ⁻² ]
- B[ MLT ⁻³ ], [ MLT ⁻⁴ ]
- C[ ML ^2 ~T ⁻³ ], [ ML ^2 ~T ⁻² ]
- D[ ML ^2 ~T ⁻³ ], [ ML ^3 ~T ⁻⁴ ]
Correct answer
B. [ MLT ⁻³ ], [ MLT ⁻⁴ ]
Step-by-step solution
Dimension of a t= Dimension of F[a t]=[F][a]= [ F t ][a]= [ MLT ⁻² ~T ][a]= [ MLT ⁻³ ] Dimension of b t^2= Dimension of F [b t^2 ]=[F][b]= [ F t^2 ][b]= [ MLT ⁻² ~T ^2 ][b]= [ MLT ⁻⁴ ]