For a 'best' symmetrical trapezoidal section of an open channel with a given are

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Question
For a 'best' symmetrical trapezoidal section of an open channel with a given area of section and side slopes, one of the following statements holds true :
Options
A. Half the top width is equal to one of the side slopes
B. Half the top width plus the bottom width is equal to both the side slopes put together
C. Water depth is equal to half bottom width
D. Hydraulic mean depth is equal to half the top width

Correct Answer

Half the top width is equal to one of the side slopes

GATE Exam Questions problems

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1. The stress-strain behaviour of soils as shown in the following figure corresponds to :
Options
A. Curve 1 : Loose sand and normally consolidated clay
Curve 2 : Loose sand and over consolidated clay
B. Curve 1 : Dense sand and normally consolidated clay
Curve 2 : Loose sand and over consolidated clay
C. Curve 1: Dense sand and over consolidated clay
Curve 2: Loose sand and normally consolidated clay
D. Curve 1: Loose sand and over consolidated clay
Curve 2: Dense sand and normally consolidated clay

2. A test plate 30 cm x 30 cm resting on a sand deposit settles by 10 mm under a certain loading intensity. A footing 150 cm x 200 cm resting on the same sand deposit and loaded to the same load intensity settles by
Options
A. 2.0 mm
B. 27.8 mm
C. 3.02 mm
D. 50.0 mm

3. Two completely penetrating wells are located L (in metres) apart, in homogeneous confined aquifer. The drawdown measured at the mid point between the two wells (at a distance of 0.5 L from both the wells) is 2.0 m when only the first well is being pumped at the steady rate of Q₁ m³/sec. When both the wells are being pumped at identical steady rate of Q₂ m³/sec, the drawdown measured at the same location is 8, 0 m. It may be assumed that the drawdown at the wells always remains at 10.0 m when being pumped and the radius of influence is larger than 0.5 L Q₁/Q₂ is equal to
Options
A. 8/5
B. 4/3
C. 5/8
D. ln (L/2)

7. Flow at critical depth takes place in an open channel When
Options
A. for a given specific energy, discharge is maximum
B. for a given discharge, specific energy is maximum
C. discharge is minimum for a given specific energy
D. discharge is maximum for a given specific force

9. The soils most susceptible to liquefaction are :
Options
A. saturated dense sands
B. saturated fine and medium sands of uniform particle size
C. saturated clays of uniform size
D. saturated gravels and cobbles

10. A volume of 3.0 x 10⁶ m³ of ground water was pumped out from an unconfined aquifer, uniformly from an area of 5 km². The pumping lowered the water table from initial level of 102 m to 99 m. The specific yield of the aquifier is
Options
A. 0.20
B. 0.30
C. 0.40
D. 0.50

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