JEE Main 2025 Jan 28 Shift 1, Physics Q10: Work Energy Theorem And Its Applications

A bead of mass '$m$' slides without friction on the wall of a vertical circular hoop of radius '$R$' as shown in figure. The bead moves under the combined action of gravity and a massless spring ($k$) attached to the bottom of the hoop. The equilibrium length of the spring is '$R$'. If the bead is released from top of the hoop with (negligible) zero initial speed, velocity of bead, when the length of spring becomes '$R$', would be (spring constant is '$k$', $g$ is acceleration due to gravity)