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A point like object of mass \( \mathrm{m} \) starts from point \( \mathrm{K} \) as shown in the figure. It slides inside along the full length of the smooth track of radius \( \mathrm{R} \), and then moves freely and travels to point \( \mathrm{C} \). [The track is kept in vertical plane]

What is the minimum possible distance \( \mathrm{OC}=\mathrm{d} \), necessary for the object to slide along the entire length of the track?
(A) \( d_{\min }=R \sqrt{2} \)
(B) \( d_{\min }=\sqrt{3} \mathrm{R} \)
(C) \( d_{\min }=\frac{R}{\sqrt{2}} \)
(D) \( d_{\text {min }}=\frac{R}{\sqrt{3}} \)
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