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A circular table of radius \( 0.5 \mathrm{~m} \) has a smooth diametrical groove. A ball of mass \( 90 \mathrm{~g} \) is placed inside the groove along with a spring of spring constant \( 10^{2} \mathrm{~N} \mathrm{~cm}^{-1} \). One end of the spring is tied to the edge of the table and the other end to the ball. The ball is at a distance of \( 0.1 \mathrm{~m} \) from the center when the table is at rest. On rotating the table with a constant angular frequency of \( 10^{2} \mathrm{rad} \mathrm{s}^{-1} \), the ball moves away from the center by a distance nearly equal to
(1) \( 10^{-1} \mathrm{~m} \)
(2) \( 10^{-2} \mathrm{~m} \)
(3) \( 10^{-3} \mathrm{~m} \)
(4) \( 2 \times 10^{-1} \mathrm{~m} \)
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