Two blocks $A$ and $B$ of masses $m_A = 1\,kg$ and $m_B = 3\,kg$ are kept on the table as shown in figure. The coefficient of friction between $A$ and $B$ is $0.2$ and between $B$ and the surface of the table is also $0.2.$ The maximum force $F$ that can be applied on $B$ horizontal, so that the block $A$ does not slide over the block $B$ is ........ $N$. [Take $g = 10\,m/s^2$ ]
  • A$8$
  • B$16$
  • C$12$
  • D$40$
JEE MAIN 2019, Diffcult
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