A uniform cube of mass \(m\) and side \(a\) is placed on a frictionless horizontal surface. A vertical force \(F\) is applied to the edge as shown in the figure. Match the following (most appropriate choice).

              

List- I List- II
(a) \(mg/4<F<mg/2\) (i) cube will move up.
(b) \(F>mg/2\) (ii) cube will not exhibit motion.
(c) \(F>mg\) (iii) cube will begin to rotate and slip at \(A\).
(d) \(F=mg/4\) (iv) normal reaction effectively at \(a/3\) from \(A\), no motion.
 
1. a - (i), b - (iv), c - (ii), d - (iii)
2. a - (ii), b - (iii), c - (i), d - (iv)
3. a - (iii), b - (i), c - (ii), d - (iv)
4. a - (i), b - (ii), c - (iv), d - (iii)