Two blocks \( A \) of \( 6 \mathrm{~kg} \) and \( B \) of \( 4 \mathrm{~kg} \) are placed in con...

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Two blocks \( A \) of \( 6 \mathrm{~kg} \) and \( B \) of \( 4 \mathrm{~kg} \) are placed in contact with each other as shown in figure.

There is no friction between \( A \) and ground and between both the blocks. The coefficient of friction between \( B \) and ground is \( 0.5 \). A horizontal force \( F \) is applied on \( A \). Find the minimum and maximum values of \( F \), which can be applied so that both blocks can move combinely without any relative motion between them.
(1) \( 10 \mathrm{~N}, 50 \mathrm{~N} \)
(2) \( 12 \mathrm{~N}, 50 \mathrm{~N} \)
(3) \( 12 \mathrm{~N}, 75 \mathrm{~N} \)
(4) None of these
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