Matrix Match Type Questions

$41.$ Column$-$I depicts various situations where some sudden events are taking place. Column$-$II describes changes various parameters of systems immediately after the events taking place in column$-$I.

Column$-$I

$($A$)$ Joker is standing on revolving platform and batman throws the ball and joker catches the ball while it was moving

horizontally

Joker, ball and platform is system.

$($B$)$ Joker throws the ball horizontally and perpendicular to his motion while standing on the revolving platform.

Joker, ball and platform is system.

$($C$)$ Joker jumps horizontally towards right $($R$)$ Mechanical energy increases. From the cart which is moving at speed $\backslash ($ v $\backslash )$ on smooth horizontal floor.

Joker and cart is the system

$($D$)$ Joker drops himself vertically from the moving cart with no horizontal velocity relative to cart.

Column$-$II

$($P$)$ Linear momentum remains conserved.

$($Q$)$ Mechanical energy is conserved