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A light ray enters horizontally into a v...

A light ray enters horizontally into a vertical cylinder through a small hole at A. The ray is initially travelling along a chord (AB) whose length is `((sqrt(5)+1)/(2))R` where R is the radius of the cylinder. After how many reflections on the inner wall of the cylinder the light ray will be incident at point A ? [Given `cos 36^(@) = (sqrt(5)+1)/(4)`]

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