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Test: Chezy's Formula & its Equation - Civil Engineering (CE) MCQ


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10 Questions MCQ Test - Test: Chezy's Formula & its Equation

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Test: Chezy's Formula & its Equation - Question 1

The relation between Manning' 'n' and Chezy's 'C' is given by
Where R = hydraulic mean depth

Detailed Solution for Test: Chezy's Formula & its Equation - Question 1

Manning's Formula:

Chezy formula:

where
n = Manning’s Coefficient
R = Hydraulic radius = (Wetted Area/ Wetted Perimeter)
S = Bed Slope
C = Chezy's Coefficient
From Equations 1 and 2

Test: Chezy's Formula & its Equation - Question 2

The dimensions of the Chezy coefficient C in [MLT] notation system are

Detailed Solution for Test: Chezy's Formula & its Equation - Question 2

The Chezy equation can be used to calculate mean flow velocity in open channel.
Chezy’s constant is given by:

f = friction factor
Its unit is 
So, the dimensions of  Chezy coefficient C is L1/2 T-1

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Test: Chezy's Formula & its Equation - Question 3

Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)


Detailed Solution for Test: Chezy's Formula & its Equation - Question 3

Concept:
Chezy's formula is given by 

Where

Now, 
The energy slope i is given by 

Calculation:
Given:
L = 3 km = 3000 m, Q = 250 litres/s = 0.25 m3/s, hf = 5m, c = 50;
The velocity of flow will be 

The energy slope will be 

Test: Chezy's Formula & its Equation - Question 4

Calculate the discharge through a channel having a bed slope 1 in 1000, area 12m2, hydraulic radius of 1.2m and Chezy’s constant being equal to 50.

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Test: Chezy's Formula & its Equation - Question 5

The depth and widths of a rectangular channel are 2m and 5m respectively, calculate the discharge of water through the channel if the bed slope is 1 in 500 and Chezy’s constant being 60.

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Test: Chezy's Formula & its Equation - Question 6

The discharge of water through a trapezoidal channel is 1.5 m3/s, the base width of the channel is 7m, the depth is 2m and the side slope is 1H:3V. Bed slope is 1 in 2000, determine the value of the Chezy’s constant.

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Test: Chezy's Formula & its Equation - Question 7

The discharge through a rectangular channel is 16.62 m3/s and the wetted area is equal to 12m2. The width of the channel is 6m and the bed slope is 1 in 1000, calculate the value of the Chezy’s constant.

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Test: Chezy's Formula & its Equation - Question 8

The perimeter of a circular channel section is 18.84m, calculate the discharge through the channel when it is running full having a bed slope of 1 in 1500 and C = 60.

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Test: Chezy's Formula & its Equation - Question 9

The velocity of flow through a channel is 0.74 m/s and the hydraulic radius of the channel is 1.11m, calculate the value of C if the bed slope of the channel is 1 in 5000.

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Test: Chezy's Formula & its Equation - Question 10

Find the discharge through a circular channel section having diameter of 5m, the value of Chezy’s constant is 90 and the bed slope is 1 in 4000.

Detailed Solution for Test: Chezy's Formula & its Equation - Question 10

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