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Two blocks \( A \) and \( B \) of masses \( m_{A}=1 \mathrm{~kg} \) and \( m_{B}=3 \mathrm{~kg} \) 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 \( B \). \( S \) horizontally, so that the block \( A \) does not slide over the block \( B \) is (take \( g=10 \mathrm{~m} / \mathrm{s}^{2} \) )
[JEE (Main) 2019]
(a) \( 12 \mathrm{~N} \)
(b) \( 8 N \)
(c) \( 16 \mathrm{~N} \)
(d) \( 40 \mathrm{~N} \)
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