A pipe line $\boldsymbol{O P} \boldsymbol{Q} \boldsymbol{R}$ branches into three pipes $\boldsymbol{X}, \boldsymbol{Y}$, and $\boldsymbol{Z}$ between points $\boldsymbol{P}$ and $\boldsymbol{Q}$ as shown in figure (not to scale)
Diameter $(d)$ and length $(l)$ of each pipe are as presented in figure and all pipes are of same material having friction factor $(f)$ of $0.02$. Assume acceleration due to gravity $(g)$ as $10.0 \mathrm{~m} / \mathrm{s}^{2}$. If the head difference between $\boldsymbol{P}$ and $Q$ is $10 \: \mathrm{m}$, then the head loss between $\boldsymbol{Q}$ and $\boldsymbol{R}$ is $\_\_\_\_\_\_ \: \mathrm{m}$. (rounded off to two decimal places)
