Practice question

Given: The frequency f of a spring depends on mass m and spring constant k as f = k_0 m^a k^b . Given [f] = [T^{-1] and [k] = [M T^{-2], find a and b . Formula: [m] = [M], [k] = [M T^{-2]. Substitution & Calculation: [T^{-1] = [M]^a [M T^{-2]^b = [M^{a+b T^{-2b] . Equate: a + b = 0, -2b = -1 Rightarrow b = 1/2 . a + 1/2 = 0 Rightarrow a = -1/2 . a = -1/2, b = 1/2 . Final Result: The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.