This question was previously asked in

UPPSC AE Civil 2013 Official Paper I

- M
_{3}, S_{3}and M_{1} - M
_{2}, S_{1}and M_{3} - S
_{2}, S_{3}and M_{3} - S
_{1}, S_{2}and S_{3}

Option 3 : S_{2}, S_{3} and M_{3}

__Concept:__

Flow is classified based on Froude’s number which is given as

\({{\rm{F}}_{\rm{r}}}{\rm{\;}} = {\rm{\;}}\frac{{\rm{V}}}{{\sqrt {{\rm{g}}\frac{{\rm{A}}}{{\rm{T}}}} }}\)

Flow |
Froude's Number |
Depth of flow |

Subcritical |
F |
y > y |

Supercritical |
F |
y < y |

Critical |
F |
y = y |

Where, y_{c} = critical depth of flow.

Flow profile in gradually varied flow for mild and steep slope is shown below:

**For mild slope:**

**(NDL is above CDL) **

**For steep slope:**

**(CDL is above NDL)**

Thus, the depth of flow is less than the critical depth of flow in the case of S_{2}, S_{3} and M_{3} profiles.

Hence flow is supercritical in case of S_{2}, S_{3} and M_{3} profiles.

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