The following figure shows a plot between shear stress and velocity gradient for materials/fluids P, Q, R, S, and T.
![GATE CE 2024 Set 2 Fluid Mechanics and Hydraulic Machines - Properties of Fluids Question 5 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lxt284du/880bfdd5-84e3-4f7a-840b-7ebe30d5ddb6/3069c120-3234-11ef-91ba-6b9e98f71a93/file-jaoe38c1lxt284dv.png?format=png)
Which one of the following options is CORRECT?
A 2 m wide rectangular channel is carrying a discharge of 30 m3/s at a bed slope of 1 in 300. Assuming the energy correction factor as 1.1 and acceleration due to gravity as 10 m/s2, the critical depth of flow (in meters) is __________ (rounded off to 2 decimal places).
The number of degrees of freedom for a natural open channel flow with a mobile bed is
A 30 cm diameter well fully penetrates an unconfined aquifer of saturated thickness 20 m with hydraulic conductivity of 10 m/day. Under the steady pumping rate for a long time, the drawdowns in two observation wells located at 10 m and 100 m from the pumping well are 5 m and 1 m, respectively. The corresponding pumping rate (in m³/day) from the well is _____________ (rounded off to 2 decimal places).