A wire, which passes through the hole is a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the figure. The bead is released from near the top of the wire and it slides along the wire without friction. As the bead moves from $A$ to $B$, the force it applies on the wire is

224112-q

  • [IIT 2014]
  • A

    always radially outwards

  • B

    always radially inwards

  • C

    radially outwards initially and radially inwards later.

  • D

    radially inwards initially and radially outwards later.

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  • [JEE MAIN 2022]

In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls ? (i.e. when they are in contact)

$(a)$ Kinetic energy.

$(b)$ Total linear momentum.

Give reason for your answer in each case.