Dimensionally, correct relations among time [t], distance [x], velocity [v], and acceleration [a] include all of the following except A) [a] = [v] $\times$ [x]. B) [v] = [a] $\times$ [t]. C) [x] = [a] $\times$ [t²]. D) [v²] = [a] $\times$ [x].

Question

Quizplus · Accepted Answer

DOption A is incorrect because acceleration ([a]) is equal to velocity ([v]) divided by time ([t]), not velocity times distance. The correct dimensional formula for acceleration is [LT^-2], not [LT^-1][L] as implied by option A. Option D is also dimensionally incorrect because it suggests velocity squared ([v^2]) is equal to acceleration times distance, which is dimensionally consistent ([LT^-2][L] = [L^2T^-2]), but it's not a direct relation among the fundamental quantities as asked.

Dimensionally, Correct Relations Among Time [T], Distance [X], Velocity [V] ×\times×

Dimensionally, Correct Relations Among Time [T], Distance [X], Velocity [V] $\times$