Three solids of masses m_1, m_2 and m_3 ar

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Three solids of masses ${m_1},\,{m_2}$ and ${m_3}$ are connected with weightless string in succession and are placed on a frictionless table. If the mass ${m_3}$ is dragged with a force T, the tension in the string between ${m_2}$ and ${m_3}$ is

A

$\frac{{{m_2}}}{{{m_1} + {m_2} + {m_3}}}T$

B

$\frac{{{m_3}}}{{{m_1} + {m_2} + {m_3}}}T$

C

$\frac{{{m_1} + {m_2}}}{{{m_1} + {m_2} + {m_3}}}T$

D

$\frac{{{m_2} + {m_3}}}{{{m_1} + {m_2} + {m_3}}}T$

Three solids of masses ${m_1},\,{m_2}$ and ${m_3}$ are connected with weightless string in succession and are placed on a frictionless table. If the mass ${m_3}$ is dragged with a force T, the tension in the string between ${m_2}$ and ${m_3}$ is

$T' = ({m_1} + {m_2}) \times \frac{T}{{{m_1} + {m_2} + {m_3}}}$