A particle of mass m is placed at the highest point of a frictional hemispherical surface. If the particle is allowed to slide down, the angular displacement from the vertical at which it will leave the surface will be - 

1
\(\cos^{-1}\left(\dfrac{1}{2}\right)\)
2
\(\cos^{-1}\left(\dfrac{1}{3}\right)\)
3
\(\cos^{-1}\left(\dfrac{2}{3}\right)\)
4
\(\sin^{-1}\left(\dfrac{1}{3}\right)\)

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