Three equal weights A, B and C of mass 2

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Three equal weights $A, B$ and $C$ of mass $2\, kg$ each are hanging on a string passing over a fixed frictionless pulley as shown in the figure The tension in the string connecting weights $B$ and $C$ is ........... $N$

A

$0$

B

$13$

C

$3.3$

D

$19.6$

Three equal weights $A, B$ and $C$ of mass $2\, kg$ each are hanging on a string passing over a fixed frictionless pulley as shown in the figure The tension in the string connecting weights $B$ and $C$ is ........... $N$

Tension between ${m_2}$ and ${m_3}$ is given by

$T = \frac{{2{m_1}{m_3}}}{{{m_1} + {m_2} + {m_3}}} \times g$

$ = \frac{{2 \times 2 \times 2}}{{2 + 2 + 2}} \times 9.8$

$= 13\, N$