BITSAT2021PhysicsUnits and DimensionsActual
If force (F) , length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be
Options
- A[ FL ⁻¹ ~T ² ]
- B[ FL ⁻¹ ~T ⁻² ]
- C[ FL ⁻¹ ~T ⁻¹ ]
- D[ FL ² ~T ² ]
Correct answer
D. [ FL ² ~T ² ]
Step-by-step solution
Let m = KF ^ a L ^ b T ^ c Substituting the dimensions of [ F ]= [ MLT ⁻² ],[ L ]=[ L ] and [ T ]=[ T ] and comparing both side, we get m = FL ⁻¹ ~T ²