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GATE Chemical 2014 | GA Question: 4
If $y=5x^{2}+3,$ then the tangent at $x=0,y=3$passes through $x=0,y=0$has a slope of $+1$is parallel to the $x$-axishas a slope of $-1$
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GATE Chemical 2014 | Question: 53
Consider the following block diagram for a closed-loop feedback control system A proportional controller is being used with $K_{c}=-4$. If a step change in distrubance of...
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GATE Chemical 2014 | Question: 23
The vessel dispersion number for an ideal $CSTR$ is $-1$$0$$1$$\infty$
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GATE Chemical 2014 | Question: 9
Integral of the time-weighted absolute error $(ITAE)$ is expressed as$\int _{0}^{\infty }\frac{\left | \varepsilon \left ( t \right ) \right |}{t^{2}}dt$$\int _{0}^{\inft...
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GATE Chemical 2013 | Question: 64
If $|-2x+9| = 3$ then the possible value of $|-X|-X^2$ would be:$30$$-30$$-42$$42$
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GATE Chemical 2013 | Question: 40
The gas phase decomposition of azomethane to give ethane and nitrogen takes place according to the following sequence of elementary reactions.(CH${_3}){_2}$N${_2}$ + (CH$...
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GATE Chemical 2013 | Question: 12
An incompressible Newtonian fluid , filled in an angular gap between two concentric cylinders of radii $R_{1}$ and $R_{2}$ as shown in the figure, is flowing under steady...
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GATE Chemical 2012 | Question: 46
Match the process in Group I with the catalyst in Group II Group I ...
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GATE Chemical 2012 | Question: 28
The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\...
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GATE Chemical 2014 | Question: 55
Match the raw materials of Group-$1$ and $2$ with the final products of Group-$3$$$\begin{array}&&\textbf{Group 1} & \textbf{Group 2} & \textbf{Group 3} \\ &\text{P$_{1}$...
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GATE Chemical 2014 | Question: 52
A process with transfer function, $G_{p}=\frac{2}{s-1}$ is to be controlled by a feedback proportional controller with a gain $K_{c}$. If the transfer functions of all ot...
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GATE Chemical 2014 | Question: 31
A spherical ball of benzoic acid (diameter=$1.5\:cm$) is submerged in a pool of still water. The solubility and diffusively of benzoic acid in water are $0.03$ $k$mol/$m^...
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GATE Chemical 2014 | Question: 4
If $f(x)$ is a real and continuous function of $x$, the Taylor series expansion of $f(x)$ about its minima will $NEVER$ have a term containingfirst derivativesecond deriv...
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GATE Chemical 2014 | Question: 3
If $f*(x)$ is the complex conjugate of $f(x)=\cos(x) + i\: \sin(x)$, then for real $a$ and $b$, $\int _{a}^{b}f*\left ( x \right )f\left ( x \right )$ is $ALWAYS$positive...
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GATE Chemical 2014 | Question: 2
For the time domain function $f(t)=t^{2}$, which $ONE$ of the following is the Laplace transform of $\int _{0}^{t}f\left ( t \right )dt$?$\frac{3}{s^{4}}$$\frac{1}{4s^{2}...
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GATE Chemical 2013 | Question: 29
The value of the integral${\scriptstyle \int^{0.5} _{0.1}}$ e$^{-x^3}$dxevaluated by Simpson’s rule using 4 subintervals (up to 3 digits after the decimal point) is $\_...
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GATE Chemical 2014 | GA Question: 10
The monthly rainfall chart based on $50$ years of rainfall in Agra is shown in the following figure. Which of the following are true? ($k$ percentile is the value such th...
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GATE Chemical 2014 | Question: 1
Gradient of a scalar variable is alwaysa vectora scalara dot productzero
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GATE Chemical 2013 | Question: 46
The purchase cost of a heat exchanger of 20 m$^{2}$ area was Rs 500000 in 2006. What will be the estimated cost (in Rs to the nearest integer) of a similar heat exchanger...
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GATE Chemical 2013 | Question: 5
A gaseous system contains H${_2}$,I${_2}$ and HI, which participate in the gas-phase reaction 2H...
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GATE Chemical 2012 | Question: 52
A Newtonian fluid of viscosity $\mu$ flows between two parallel plates due to the motion of the bottom plate (as shown below), which is moved with a velocity $V$. The top...
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GATE Chemical 2012 | Question: 27
If $a$ is a constant, then the value of the integral $a^{2}\int^\infty_0 xe^{-ax}dx$ is$1/a$$a$$1$$0$
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GATE Chemical 2013 | Question: 45
A control value, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the value at 40% stem positions is 1 m$^{3}$/h. ...
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GATE Chemical 2013 | Question: 23
The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are $r_A$$_1$ and $r_A$$_2$ (in mol (kg-catalyst)$^{-1...
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GATE Chemical 2012 | Question: 29
If $i = \sqrt{-1}$, the value of the integral $$\oint_{c}\dfrac{7z + i}{z(z^2 + 1)}dz \quad\quad\quad\quad|z|<2$$,u...
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GATE Chemical 2014 | Question: 28
The differential equation $\frac{d^{2}y}{dx^{2}}+x^{2}\frac{dy}{dx}+x^{3}y=e^{x}$ is a non-linear differential equation of first degreelinear differential equation of fir...
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GATE Chemical 2014 | Question: 27
The integrating factor for the differential equation$\frac{dy}{dx}-\frac{y}{1+x}=\left ( 1+x \right )$ is$\frac{1}{1+x}$$(1+x)$$x(1+x)$$\frac{x}{1+x}$
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GATE Chemical 2014 | Question: 16
A spherical storage vessel is quarter-filled with toluene. The diameter of the vent at the top of the vessel is $1/20^{th}$ of the diameter of the vessel. Under the stead...
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GATE Chemical 2013 | Question: 59
$\frac{Allengineering students }{I}$ $\frac{should learn mechanics}{II}$, $\frac{mathematics and}{III}$ $\frac{how to do computation}{IV}$Which of the above underlined pa...
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GATE Chemical 2013 | Question: 21
The exit age distribution for a reactor is given by E(t) = $\delta$(t-4), where t is in seconds. A first order liquid phase reaction (k = 0.25 s$^{-1}$) is carried out in...
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GATE Chemical 2013 | Question: 13
For a Newtonian fluid flowing in a circular pipe under steady state conditions in fully developed laminar flow, the fanning friction factor is0.046Re$^{-0.2}$0.0014 + $\f...
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GATE Chemical 2014 | GA Question: 7
Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered $1,$ the floor above it $2,$ and so on). A...
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GATE Chemical 2014 | GA Question: 3
Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently.Which ...
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GATE Chemical 2014 | Question: 51
Consider a binary liquid mixture at equilibrium with its vapour at $25^{\circ}C$.Antoine equation for this system is given as $log_{10}\:p_{t}^{sat}=A-\frac{B}{t+C}$ wher...
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GATE Chemical 2013 | Question: 52
The vapor liquid equilibrium relation for an ideal binary system is given by y*${_A}$ = $\frac{\alpha{_A}{_B}x{_A}}{...
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GATE Chemical 2013 | Question: 51
Liquid reactant A decomposes as follows A $\rightarrow$ R r${_R} $= k${_1}$C$^{2}$${_A}$ k${_1}$ = 0.5m$^{3}$/mol-s...
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GATE Chemical 2013 | Question: 44
A unit gain 2$^{nd}$ order underdamped process has a period of oscillation 1 second and decay ratio 0.25. The transfer function of the process is$\frac{1}{0.024s^2 + 0.06...
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GATE Chemical 2013 | Question: 1
The number of emails received on six consecutive days is 11, 9, 18, 18, 4 and 15,respectively.what are the median and the mode for these data?18 and 11, respectively13 an...
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GATE Chemical 2012 | Question: 58
The cost function for a product in a firm is given by $5q^{2}$, where q is the amount of production. The firm can sell the product at a market price of $₹50$ per unit. ...
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GATE Chemical 2014 | GA Question: 2
Choose the most appropriate word from the options given below to complete the following sentence.One of his biggest ______ was his ability to forgive.vicevirtueschoicesst...
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