$A$ composite heavy rope made of two materials is suspended vertically from a high ceiling. The ratios of different quantities for the upper rope to the lower rope are: length $\frac{L_u}{L_l} = \frac{1}{2}$,cross-sectional area $\frac{A_u}{A_l} = \frac{2}{1}$,and density $\frac{d_u}{d_l} = \frac{2}{3}$. What is the ratio of the maximum stress in the two ropes?

  • A
    $\frac{2}{3}$
  • B
    $\frac{3}{4}$
  • C
    $\frac{5}{6}$
  • D
    $\frac{4}{5}$

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