Q. A block of mass lies on the top of fixed wedge as shown in Fig. (a) and another block of mass lies on top of wedge which is free to move as shown in Fig. (b). At time , both the blocks are released from rest from a vertical height above the respective horizontal surface on which the wedge is placed as shown. There is no friction between block and wedge in both the figures. Let and be the time taken by the blocks, respectively, to just reach the horizontal surface. Then

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Solution:


In first case, acceleration of will be down the inclined plane. In second case, acceleration of w.r.t. incline is


Since , so