A string of length \( l \) is fixed at one end and carries a mass \( m \) at the other end. The ....

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A string of length \( l \) is fixed at one end and carries a mass \( m \) at the other end. The string makes \( 2 / \pi \) rps around a vertical axis through the fixed end so that the mass moves in the horizontal circle

What is the angle of inclination of the string with vertical?
(A) \( \cos ^{-1}\left(\frac{g}{l}\right) \)
(B) \( \cos ^{-1}\left(\frac{g}{16 l}\right) \)
(C) \( \cos ^{-1}\left(\frac{g}{4 l}\right) \)
(D) \( \cos ^{-1}\left(\frac{g}{8 l}\right) \)


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