GATE 2000 Civil Engineering
20 questions across 1 session
A tube well having a capacity of 4 $$m^3 /hour$$ operates for 20 hours each day during the irrigation season. How much area can be commanded if the irrigation interval is 20 days a...
A borrow pit soil has a dry density of 17 kN/m 3 . How many cubic meters of this soils will be required to construct an embankment of 100 m 3 volume with a dry density of 16 kN/m 3...
Width of carriage way for a single lane is recommended to be
The ruling minimum radius of horizontal curve of a national highway in plain terrain for a ruling design speed of 100 km/hour with e = 0.07 and f = 0.15 is close to
Design rate of super elevation for horizontal highway curve of radius 450 m for a mixed traffic condition, having a speed of 125 km/hour is
Identify the FALSE statement from the following, pertaining to the methods of structural analysis.
The following two statements are made with reference to a simply supported under - reinforced $$RCC$$ beam: $${\rm I}.\,\,\,\,\,\,\,\,\,\,\,\,$$ Failure takes place by crushing of...
A soil sample has a void ratio of 0.5 and its porosity will be closed to
Limit of the function $$f\left( x \right) = {{1 - {a^4}} \over {{x^4}}}\,\,as\,\,x \to \infty $$ is given by
If $$f\left( {x,y,z} \right) = $$ $${\left( {{x^2} + {y^2} + {z^2}} \right)^{{\raise0.5ex\hbox{$\scriptstyle { - 1}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}...
Let $$F\left( s \right) = L\left[ {f\left( t \right)} \right]$$ denote the Laplace transform of the function $$f(t)$$. Which of the following statements is correct?
The Taylor series expansion of sin $$x$$ about $$x = {\pi \over 6}$$ is given by
Consider the following integral $$\mathop {Lim}\limits_{x \to 0} \int\limits_1^a {{x^{ - 4}}} dx$$ ________.
If $$A,B,C$$ are square matrices of the same order then $${\left( {ABC} \right)^{ - 1}}$$ is equal be
The working stress method of design specifies the value of modular ratio, $$m = 280/\left( {3{\sigma _{cbc}}} \right),$$ where $${{\sigma _{cbc}}}$$ is the allowable stress in bend...
Two Samples of Water A and B have pH values of a 4.4 and 6.4 respectively. How many times more acidic sample A is than sample B
Consider the following two statements. $$(I)$$ The maximum number of linearly independent column vectors of a matrix $$A$$ is called the rank of $$A.$$ $$(II)$$ If $$A$$ is $$nxn$$...
Cavitation is caused by
Pick the incorrect statement from the following four statements:
If duty (D) is 1428 hectares/cumec and base period (B) is 120 days for an irrigated crop, then delta ($$\Delta$$) in meters is given by