Question 17. The dimensional formula for acceleration is (a) [LT2] (b) [LT?2] (c) [L2T] (d) [L2T2]
Derivation Acceleration (a) = Velocity × Time-1 . . . . . (1) Since, Velocity (V) = Displacement × Time-1 ∴ The dimensional formula of velocity is [M0 L1 T-1] . . . . (2) On substituting equation (2) in equation (1) we get, Acceleration = Velocity × Time-1 Or, a = [M0 L1 T-1] × [T]-1 = [M0 L1 T-2] Therefore, acceleration is dimensionally represented as [M0 L1 T-2].
