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

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