Practice question

Given: The dimensional formula of angular velocity is [T^{-1] . Which quantity shares the same dimensions? These values define the system as per NCERT data. Formula: (a) [v / r] = [L T^{-1] / [L] = [T^{-1]. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: (b) [a t] = [L T^{-2] [T] = [L T^{-1] . (c) [F / m] = [M L T^{-2] / [M] = [L T^{-2] . (d) [s / t] = [L] / [T] = [L T^{-1] . (a) matches. Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.