question_answer

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 [MP PET 1995]          

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)                         \[\frac{{{m}_{2}}+{{m}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}T\]

Correct Answer: C

Solution :

                                        \[T'=({{m}_{1}}+{{m}_{2}})\times \frac{T}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}\]