1.

In the Column 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 Column 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 Column I with those quantitites in Column II, which are conserved for that path. Column~IColumn~II(A) →r(t)=α t^i+β t^j1. →p(B) →r(t)=α cos ω t ^i+β sin ω t ^j2. →L(C) →r(t)=α(cos ω ^i+ sin ω t^j)3.K(D) →r(t)=α t^i+β2t2^j4. U5. E

Answer»

In the Column 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 Column 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 Column I with those quantitites in Column II, which are conserved for that path.
Column~IColumn~II(A) →r(t)=α t^i+β t^j1. →p(B) →r(t)=α cos ω t ^i+β sin ω t ^j2. →L(C) →r(t)=α(cos ω ^i+ sin ω t^j)3.K(D) →r(t)=α t^i+β2t2^j4. U5. E


Discussion

No Comment Found

Related InterviewSolutions