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Three solids of masses m(1),m(2) and m(3...

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

(a)`(m_(2))/(m_(1)+m_(2)+m_(3))T`

B

(b)`(m_(3))/(m_(1)+m_(2)+m_(3))T`

C

(c)`(m_(1)+m_(2))/(m_(1)+m_(2)+m_(3))T`

D

(d)`(m_(2)+m_(3))/(m_(1)+m_(2)+m_(3))T`

Text Solution

Verified by Experts

The correct Answer is:
C

`T=(m_(1)+m_(2)+m_(3))a`
`T-T_(1)=m_(3)a`
`T_(1)=T-m_(3)a`
`=T-(m_(3))/((m_(1)+m_(2)+m_(3))xxT)=(T(m_(1)+m_(2)))/((m_(1)+m_(2)+m_(3)))`
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