JEE Main 2025 · 4 April · evening · Numerical answer · +4 / −1

A solid sphere with uniform density and radius R is rotating initially with constant angular velocity (ω₁) about its diameter. After some time during the rotation its starts loosing mass at a uniform rate, with no change in its shape. The angular velocity of the sphere when its radius become R / 2 is x ω₁. The value of x is _________.