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In the given figure a ball strikes a uni...

In the given figure a ball strikes a uniform rod of same mass elastically and rod is hinged at point `A`. Then which of the statements `(s) is//are` correct ?
.

A

linear momentum of system (ball+rod) is conserved

B

angular momentum of system about hinged point A is not conserved

C

kinetic energy of system is conserved

D

linear momentum of ball is conserved.

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The correct Answer is:
C

Collision is elastic and work of hinge force =0 so K.E. energy of system is conserved
hinge force does not produce angular momentum about hinge so angular momentum about hinge is conserved. Due to impulse of hinge the linear momentum is not conserved.
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