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A uniform rod is rotated in a horizontal...

A uniform rod is rotated in a horizontal plane about a fixed vertical axis through one end by applying a force F perpendicular to the rod at the other end. In time t starting from rest,the rod develops a kinetic energy K.If the same thing is repeated with a rod of twice the area of cross-section and twice the length but of same material and the force applied remains the same, kinetic energy developed in time t will be
(1) 0.5K
(2) 0.25K
(3) 0.125K
(4) 0.33K

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