A)
B)
C)
D)
Correct Answer: D
Solution :
If the applied force is less than limiting friction between block A and B, then whole system move with common acceleration i.e. \[{{a}_{A}}={{a}_{B}}=\frac{F}{{{m}_{A}}+{{m}_{B}}}\] 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 ? Fk Where \[{{F}_{k}}=\]Kinetic friction between block A and B \[\therefore \] Acceleration of block B, \[{{a}_{B}}=\frac{F-{{F}_{k}}}{{{m}_{B}}}\] As F is increasing with time so aB will increase with time Kinetic friction is the cause of motion of block A \[\therefore \] Acceleration of block A, \[{{a}_{A}}=\frac{{{F}_{k}}}{{{m}_{A}}}\] It is clear that \[{{a}_{B}}>{{a}_{A}}\]. i.e. graph correctly represents the variation in acceleration with time for block A and B.
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