What is the maximum force $F$ that can be applied on block $m_1,$ so that both $m_1 \&{ m}_2$ will move together? There is no friction between $m_1$ and the horizontal table. The coefficient of friction between $\text{'}{m}_1\text{'}$ and $\text{'}{m}_2\text{'}$ is $\mu .$

• A

  $\mu m_{2}g$
• Correct answer
  B

  $\mu \left(m_1+m_2\right)g$
• C

  $\mu \frac{m_1{ m}_2}{\left({ m}_1+m_2\right)}g$
• D

  $\mu m_{1}g$

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