A block $A$ of mass $m_1$ rests on a horizontal table. A light string connected to it passes over a frictionless pully at the edge of table and from its other end another block $B$ of mass $m_2$ is suspended. The coefficient of kinetic friction between the block and the table is $\mu _k.$ When the block $A$ is sliding on the table, the tension in the string is
A block $A$ of mass $m_1$ rests on a horizontal table. A light string connected to it passes over a frictionless pully at the edge of table and from its other end another block $B$ of mass $m_2$ is suspended. The coefficient of kinetic friction between the block and the table is $\mu _k.$ When the block $A$ is sliding on the table, the tension in the string is
- [AIPMT 2015]
- A
$\frac{{\left( {{m_2} + {\mu _k}{m_1}} \right)g}}{{{m_1} + {m_2}}}$
- B
$\;\frac{{\left( {{m_2} - {\mu _k}{m_1}} \right)g}}{{{m_1} + {m_2}}}$
- C
$\;\frac{{{m_1}{m_2}\left( {1 + {\mu _k}} \right)g}}{{{m_1} + {m_2}}}$
- D
$\;\frac{{{m_1}{m_2}\left( {1 - {\mu _k}} \right)g}}{{{m_1} + {m_2}}}$
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$Statement$ $(I)$ : The limiting force of static friction depends on the area of contact and independent of materials.
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In the light of the above statements, choose the most appropriate answer from the options given below:
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