A string of length \( 1 \mathrm{~m} \) is fixed at one end with a bob of mass \( 100 \mathrm{~g}....

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A string of length \( 1 \mathrm{~m} \) is fixed at one end with a
\( \mathrm{P} \)
bob of mass \( 100 \mathrm{~g} \) and the string makes \( \left(\frac{2}{\pi}\right) \mathrm{rev} \mathrm{s}^{-} \) \( { }^{1} \) around a vertical axis through a fixed point. The angle of inclination of the string with vertical is
(A) \( \tan ^{-1}\left(\frac{5}{8}\right) \)
(B) \( \tan ^{-1}\left(\frac{3}{5}\right) \)
(C) \( \cos ^{-1}\left(\frac{3}{5}\right) \)
(D) \( \cos ^{-1}\left(\frac{5}{8}\right) \)


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