Consider the system shown below
A horizontal force $F$ is applied to a block $X$ of mass $8 \mathrm{~kg}$ such that the block $Y$ of mass $2 \mathrm{~kg}$ adjacent to it does not slip downwards under gravity. There is no friction between the horizontal plane and the base of the block $X$. The coefficient of friction between the surfaces of blocks $X$ and $Y$ is $0.5$. Take acceleration due to gravity to be $10 \mathrm{~ms}^{-2}$. The minimum value of $F$ is

• Correct answer
  A

  $200 \mathrm{~N}$
• B

  $160 \mathrm{~N}$
• C

  $40 \mathrm{~N}$
• D

  $240 \mathrm{~N}$

Hence, the correct answer is option: 'A'.