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Two blocks of mass m and 2m are kept on ...

Two blocks of mass m and 2m are kept on a smooth horizontal surface. Theya are connected by an ideal spring of force constant k. Initially the spring is unstretched. A constant force is applied to the heavier block in the direction shown in figure. Suppose at time t displacement of smaller block is `x_(1)` then displacement of the heavier block at this moment would be

A

`(x)/(2)`

B

`(Ft^(2))/(6m)+(x)/(3)`

C

`(x)/(3)`

D

`(Ft^(2))/(4m)-(x)/(2)`

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