A rod of length L and mass M fixed at the origin at one end is placed along the x-axis at t = 0. It starts rotating about the z-axis in the x-y plane anti-clockwise as seen from the positive z-axis due to a force F always perpendicular to the rod acting at the free end. The angular distance travelled by the rod till time t is

1
\( \frac{Ft^2}{ML}\)
2
\( \frac{3Ft^2}{ML}\)
3
\( \frac{Ft^2}{2ML}\)
4
\( \frac{3Ft^2}{2ML}\)
5
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