Physics · Kinematics · Laws of Motion · Work, Energy & Power · Rotation
Problem
In the List-I below, four different paths of a particle are given as functions of time. In these functions, α and β are positive constants of appropriate dimensions and α ≠ β. In each case, the force acting on the particle is either zero or conservative. In List-II, five physical quantities of the particle are mentioned: p is the linear momentum, L is the angular momentum about the origin, K is the kinetic energy, U is the potential energy and E is the total energy. Match each path in List-I with those quantities in List-II, which are conserved for that path. LIST-I: P. r(t) = αt î + βt ĵ; Q. r(t) = α cos ωt î + β sin ωt ĵ; R. r(t) = α(cos ωt î + sin ωt ĵ); S. r(t) = αt î + (β/2)t² ĵ. LIST-II: 1. p; 2. L; 3. K; 4. U; 5. E.