A Heavy Cable of Length $l$ And Linear Mass Density $\lambda$ (Mass/length) Hangs Vertically from a High Bridge

Multiple Choice

A heavy cable of length $l$ and linear mass density $\lambda$ (mass/length) hangs vertically from a high bridge. What is the tension in the cable at its midpoint of $l / 2$ ?

A) $g \lambda l$
B) $\frac { 1 } { 4 } g \lambda l ^ { 2 }$
C) $\frac { 1 } { 2 } g \lambda l$
D) $\frac { 1 } { 4 } g \lambda l$