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# A thin string is wrapped several times around a cylinder kept on a rough horizontal surface. A boy standing at a distance l from the cylinder draws the string towards him as shown. The cylinder rolls without slipping . The length of the string passed through the hand of the boy while the cylinder reaches his hand is

$\begin {array} {1 1} (a)\;l & \quad (b)\;2l \\ (c)\;3l & \quad (d)\;4l \end {array}$

Speed of $A= 2 V_{cm}$
So $2l$ is the correct answer
edited Jun 22, 2014