Test

ByOm Sharma

A circular table is rotating with an angular velocity of \omega \mathrm{rad} / \mathrm{s} about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of 1 m on the groove. All the surfaces are smooth. If the radius of the table is 3 m , the radial velocity of the ball w.r.t. the table at the time the ball leaves the table is x \sqrt{2} \omega \mathrm{~m} / \mathrm{s}, where the value of x is
\qquad [JEE (Main) 8 April 2024 S II]

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