A perfectly straight portion of a uniform rope has mass M and length L. At end A of the segment, the tension in the rope is \[{{T}_{A}}\] and at end B it is \[{{T}_{B}}({{T}_{B}}>{{T}_{A}})\]. Neglect effect of gravity and no contact force acts on the rope in between points A and B. The tension in the rope at a distance L/5 from end A is

• A. \[{{T}_{B}}-{{T}_{A}}\]
• B. \[({{T}_{A}}+{{T}_{B}})/5\]
• C. \[(4{{T}_{A}}+{{T}_{B}})/5\]
• D. \[({{T}_{A}}-{{T}_{B}})/5\]