Practice question

Given: The dimensional formula of angular acceleration is [T^{-2] . Which quantity shares the same dimensions? These values define the system as per NCERT data. Formula: (a) [v² / r²] = [L T^{-1]² / [L]² = [T^{-2]. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: (b) [a / r] = [L T^{-2] / [L] = [T^{-2] . (c) [F / m r] = [M L T^{-2] / [M L] = [T^{-2] . (d) [v t / r] = [L T^{-1] [T] / [L] = [T⁰] . (b) matches (simplest match chosen). 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.