Practice question

Given: The work done W depends on force F and displacement s as W = k F^a s^b . Given [W] = [M L² T^{-2], find a and b . Formula: [F] = [M L T^{-2], [s] = [L]. Substitution & Calculation: [M L² T^{-2] = [M L T^{-2]^a [L]^b = [M^a L^{a+b T^{-2a] . Equate: a = 1, a + b = 2, -2a = -2 Rightarrow a = 1 . 1 + b = 2 Rightarrow b = 1 . a = 1, b = 1 . Final Result: The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.