In the List-I below, four different paths of a particle are given as functions of time. In these functions, and are positive constants of appropriate dimensions and . 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: is the linear momentum, is the angular momentum about the origin, is the kinetic energy, is the potential energy and is the total energy. Match each path in List-I with those quantities in List-II, which are conserved for that path.

Options

A. `P to 1, 2, 3, 4, 5 , Q to 2, 5 , R to 2, 3, 4, 5, S to 5 `
B. ` P to 1, 2, 3, 4,5 , Q to 3, 5 , R to 2, 3, 4, 5 , S to 2, 5 `
C. `P to 2, 3, 4, Q to 5 , R to 1 , 2, 4 , S to 2 , 5 `
D. `P to 1, 2, 3, 5, Q to 2, 5 , R to 2, 3, 4, 5 , S to 2. 5 `

Answer

A