A rod $AB$ is free to rotate in a vertical plane about a horizontal axis through $A$ as shown in figure. It is slightly disturbed from rest in its position of unstable equilibrium and when it is next vertical the end $B$ collides with a fixed peg and rebounds. If the rod comes to instantaneous rest when $AB$ is horizontal (as shown in figure) then :-
A rod $AB$ is free to rotate in a vertical plane about a horizontal axis through $A$ as shown in figure. It is slightly disturbed from rest in its position of unstable equilibrium and when it is next vertical the end $B$ collides with a fixed peg and rebounds. If the rod comes to instantaneous rest when $AB$ is horizontal (as shown in figure) then :-
- A
the coefficient of restitution between the rod and the peg is $\frac{1}{{\sqrt 3 }}$
- B
the coefficient of restitution between the rod and the peg is $\frac{1}{{\sqrt 2 }}$
- C
the angular momentum of the rod is constant except for a sudden change at the instant of impact with the peg.
- D
the coefficient of restitution between the rod and the peg is $\frac{1}{{\sqrt 6 }}$
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- [AIIMS 2015]