Practice question

Given: The momentum p depends on mass m and velocity v as p = k m^a v^b . Given [p] = [M L T^{-1], find a and b . These values define the system as per NCERT data. Formula: [m] = [M], [v] = [L T^{-1]. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: [M L T^{-1] = [M]^a [L T^{-1]^b = [M^a L^b T^{-b] . Equate: a = 1, b = 1, -b = -1 Rightarrow b = 1 . a = 1, b = 1 . 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.