Water flows in a wide channel of Manning's roughness of 0.03 at a discharge per unit width of 3 m³/sec/m. The channel has a long reach of S = 50 cm/km, followed by a horizontal reach A-B of 500 m length, followed by a long reach of S = 20 cm/km as shown below.

Calculate the **normal** and **critical depth** values of the two long reaches and determine the **type of slope**.

Calculate the **water depth** values at **points A and B** and the **energy lost between A and B**. Use a suitable method of water surface profile calculation and use only one step.

Draw a neat sketch of the water surface profile, showing CDLs, NDLs and the variation of water surface. Label all profiles.

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