A metallic rod of length l, linear mass density W rotates about one of it's end 'O' in a smooth horizontal plane with an angular velocity w about an end axis which is perpendicular to plane of rotation shown in figure. A transverse pulse generated at the free end P to reach the axis of rotation. (neglect the gravitational effect)

Options

A. The speed of the transverse pulse just after generated at the free end point P with respect to ground is `l omega`
B. The speed of the transverse pulse when it reaches the mid point of string with respect to ground us `(sqrt(5)lomega)/sqrt(8)`
C. The tension in the string at a distance .x. from the free and `(mu[L^(2) -(L-x)^(2)])/2 omega^(2)`
D. The time taken by the transverse pulse to reach the axis of rotation from free end is `pi/(sqrt(2)omega)`

Answer

A, B, C, D