NEET2006PhysicsUnits and DimensionsActual
The velocity v of a particle at time t is given by v=a t+ b t+c , where a, b and c are constants. The dimensions of a, b and c are:
Options
- AL, LT and LT ^2
- BLT ⁻², ~L and T
- CL ^2, ~T and LT ^2
- DLT ^2 , LT and L.
Correct answer
B. LT ⁻², ~L and T
Step-by-step solution
Using principle of homogeniety. Dimension of v= Dimension of a t= Dimenstion of b t+c array l a t = [ LT ⁻¹ ] |a| = [ LT ⁻¹ ] [ T ] = [ LT ⁻² ] And [b] [t] = [ LT ⁻¹ ] [b] = [ LT ⁻¹ ][ T ]=[ L ] And c = T c =[ T ] array