question_answer

A toy train consists of three identical compartment A, B and C. It is being pulled by a constant force F along C. The ratio of the tensions in the string connecting AB and BC is:

A) 2 : 1

B) 1 : 3             

C) 1 : 1

D) 1 : 2

Correct Answer: D

Solution :

[d] \[acc.=\frac{F}{3m}\,{{T}_{1}}=\frac{F}{3}N;\,\,{{T}_{2}}-{{T}_{1}}=\frac{F}{3}\] \[{{T}_{2}}=\frac{2F}{3}\Rightarrow \,\,{{T}_{1}}:{{T}_{2}}=1:2\]