Practice question

Given: The density rho of a substance depends on mass m and volume V as rho = k m^a V^b . Given [rho] = [M L^{-3], find a and b . These values define the system as per NCERT data. Formula: [m] = [M], [V] = [L³]. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: [M L^{-3] = [M]^a [L³]^b = [M^a L^{3b] . Equate: a = 1, 3b = -3 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.