Practice question

Given: The pressure P depends on force F and area A as P = k F^a A^b . Given [P] = [M L^{-1 T^{-2], find a and b . These values define the system as per NCERT data. Formula: [F] = [M L T^{-2], [A] = [L²]. This is standard NCERT relation. Substitution & Calculation: [M L^{-1 T^{-2] = [M L T^{-2]^a [L²]^b = [M^a L^{a+2b T^{-2a] . Equate: a = 1, a + 2b = -1, -2a = -2 . 1 + 2b = -1 Rightarrow b = -1 . a = 1, b = -1 . Result: The computed value matches expected outcome and confirms correct choice as per NCERT.