The coefficient of static friction between two blocks is $0.5$ and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is $\ldots \ldots . N$. (take $\left.g=10\, {ms}^{-2}\right)$
JEE MAIN 2021, Difficult
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${F}=3 {a}$ (For system) $...(i)$

${fs}_{\max }=1 {a}$ (for $1 \,{kg}$ block) $...(ii)$

$\mu \times 1 \times {g}={a}$

$\Rightarrow 5={a}$

${F}=15 {N}$

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