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in Physics by (61.0k points)

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 dimension 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: vector p is the linear momentum, vector 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.

(A) P → 1, 2, 3, 4, 5; Q → 2, 5; R → 2, 3, 4, 5; S → 5
(B) P → 1, 2, 3, 4, 5; Q → 3, 5; R → 2, 3, 4, 5; S → 2, 5
(C) P → 2, 3, 4; Q → 5; R → 1, 2, 4; S → 2, 5
(D) P → 1, 2, 3, 5; Q → 2, 5; R → 2, 3, 4, 5; S → 2, 5

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1 Answer

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by (150k points)
edited by

Answer:A

a = 0
F = 0
P = conserved , K = conserved
L = conserved , U = conserved
E = conserved
P → 1, 2, 3, 4, 5

L = conserved

τ of the force about origin is zero its mean this force is always passed through origin so it is central & conservative E = conserved.
Q → 2, 5

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