In Column I, 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 Column II, five physical quantities of the particle are mentioned: p is linear momentum, L is angular momentum about the origin, K is kinetic energy, U is potential energy, and E is total energy. Match each path in Column I with the conserved quantities in Column II. Column I (P) r(t) = αtî + βt&掌控; (Q) r(t) = α cos(ωt)î + β sin(ωt)&掌控; (R) r(t) = α(cos(ωt)î + sin(ωt)&掌控;) (S) r(t) = αtî + (β/2)t2&掌控; Column II (1) p (2) L (3) K (4) U (5) E

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Physics · Classical Mechanics

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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P (1,2,3,4,5), Q (2,5), R (2,3,4,5), S (5)

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Answer 1

P (1,2,3,4,5), Q (1,3,2,5), R (2,3,4,5), S (5)

Answer 2

P (1,2,3,4,5), Q (2,5), R (2,3,4,5), S (5)

Answer 3

P (1,5), Q (2,5), R (1,2,3,4,5), S (5)

Answer 4

P (5), Q (2,5), R (2,3,4,5), S (1,2,3,4,5)

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