A block B is placed on block A. The mass of block B is less than the mass of block A. Friction exists between the blocks, whereas the ground on which the block A is placed is taken to be smooth. A horizontal force F, increasing linearly with time begins to act on B. The acceleration 
and 
of blocks A and B respectively are plotted against t. The correctly plotted graph is
Text Solution
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If the applied force is less than limiting friction between block A and B, then whole system move with common acceleration
i.e. 
But the applied force increases with time, so when it becomes more than limiting friction between A and B, block B starts moving under the effect of net force F – F k
Where 
Kinetic friction between block A and B
Acceleration of block B, 
As F is increasing with time so a B will increase with time
Kinetic friction is the cause of motion of block A
Acceleration of block A, 
It is clear that 
. i.e. graph correctly represents the variation in acceleration with time for block A and B.
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