NEET2018PhysicsUnits and DimensionsActual
What are the dimensions of A B in the relation F=A x +B t^2 , where F is the force, x is distance and t is time ?
Options
- A[ ML ^2 ~T ⁻² ]
- B[ L ^ -1 / 2 ~T ^2 ]
- C[ L ^ -1 / 2 ~T ⁻¹ ]
- D[ LT ⁻² ]
Correct answer
B. [ L ^ -1 / 2 ~T ^2 ]
Step-by-step solution
Given, F=A x +B t^2 Here, F= force, x= distance and t= time Dimensionally, F=A x =B t^2 A B = t^2 x A B = [ T ^2 ] [ L ^ 1 / 2 ] = [ L ^ -1 / 2 ~T ^2 ]