Recent questions tagged gate2020

1 answers
1 votes
Rajiv Gandhi Khel Ratna Award was conferred ______ Mary Kom, a six-time world champion in boxing, recently in a ceremony _____ the Rashtrapati Bhawan (the President’s o...
1 answers
1 votes
Despite a string of poor performances, the chances of $K.L.$ Rahul’s selection in the team are ________slimbrightobviousuncertain
1 answers
1 votes
Select the word that fits the analogy:$\text{Cover : Uncover :: Associate :}$ _______UnassociateInassociateMisassociateDissociate
1 answers
1 votes
Hit by floods, the kharif (summer sown) crops in various parts of the country have been affected. Officials believe that the loss in production of the kharif crops can be...
1 answers
1 votes
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$
1 answers
1 votes
Repo rate is the rate at which Reserve Bank of India $\text{(RBI)}$ lends commercial banks, and reverse repo rate is the rate at which $\text{(RBI)}$ borrows money from c...
1 answers
1 votes
$P,Q,R,S,T,U,V,$ and $W$ are seated around a circular table.$S$ is seated opposite to $W$$U$ is seated at the second place to the right of $R$$T$ is seated at the third p...
1 answers
1 votes
The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ ho...
1 answers
1 votes
For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is...
1 answers
1 votes
The profit shares of two companies $P$ and $Q$ are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the tota...
0 answers
0 votes
An irreversible gas phase reaction $2 \textbf{P} \rightarrow 4 \textbf{Q} + \textbf{R}$ is conducted in an isothermal and isobaric batch reactor. Assume ideal gas behavio...
0 answers
0 votes
Consider two Carnot engines $C_1$ and $C_2$ as shown in the figure.The efficiencies of the engines $C_1$ and $C_2$ are $0.40$ and $0.35$, respectively. If the temperature...
0 answers
0 votes
Consider the following closed loop system with $G_p$ and $G_c$ as the transfer functions of the process and the controller, respectively.For a unit step change in the set...
0 answers
0 votes
The decomposition of acetaldehyde $(X)$ to methane and carbon monoxide follows four-step free radical mechanism. The overall rate of decomposition of $X$ is $$-r_X=k_2 \b...
0 answers
0 votes
Sum of the eigenvalues of the matrix $\begin{bmatrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{bmatrix}$ is ______ (round off to nearest integer).
0 answers
0 votes
In a box, there are $5$ green balls and $10$ blue balls. A person picks $6$ balls randomly. The probability that the person has picked $4$ green balls and $2$ blue balls ...
0 answers
0 votes
The maximum value of the function $f(x)=-\dfrac{5}{3} x^3 +10x^2-15x+16$ in the interval $(0.5,3.5)$ is$0$$8$$16$$48$
0 answers
0 votes
$SO_2$ from air is absorbed by pure water in a counter current packed column operating at constant pressure. The compositions and the flow rates of the streams are shown ...
0 answers
0 votes
Two film theory applies for absorption of a solute from a gas mixture into a liquid solvent. The interfacial mass transfer coefficient (in $mol \: m^{-2} \: s^{-1}$) for ...
0 answers
0 votes
Consider the equilibrium data for methanol-water system at $1$ bar given in the future below.A distillation column operating at $1.0$ bar is required to produce $92 \: mo...
0 answers
0 votes
Consider the gas phase reaction $N_2O_4 \rightleftarrows 2NO_2$ occuring in an isothermal and isobaric reactor maintained at $298 K$ and $1.0$ bar. The standard Gibbs ene...
0 answers
0 votes
A tank initially contains a gas mixture with $21\:mol\:\% $ oxygen and $79\:mol\:\%$ nitrogen. Pure nitrogen enters the tank, and a gas mixture of nitrogen and oxygen exi...
0 answers
0 votes
Consider steady, laminar, fully developed flow of an incompressible Newtonian fluid through two horizontal straight pipes, $I$ and $II$, of circular cross section. The vo...
0 answers
0 votes
Equilibrium data for a binary mixture of $E$ and $F$ at two different pressure is shown in the figure.It is desired to process a feed containing $80 \text{ mol } \% E$ an...
0 answers
0 votes
A hollow cylinder of equal length and inner diameter (i.e., $L=D$) is sealed at both ends with flat plate, as shown in the figure. Its inner surfaces, $A_1$, $A_2$, and $...
0 answers
0 votes
A student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius $0.01 \: m$ with a pressure drop $(\Delta P)$ ...
1 answers
0 votes
A feed stream containing pure species $L$ flows into a reactor, where $L$ is partly converted to $M$ as shown in the figure.The mass flow rate of the recycle stream is $2...
0 answers
0 votes
A U-tube manometer contains two manometric fluids of densities $1000 \: kg \: m^{-3}$ and $600 \: kg \: m^{-3}$. When both the limbs are open to atmosphere, the differenc...
0 answers
0 votes
A pure gas obeys the equation of state given by $$\dfrac{PV}{RT} = 1 + \dfrac{BP}{RT}$$ where $P$ is the pressure, $T$ is the absolute temperature, $V$ is the molar volum...
0 answers
0 votes
Consider one mole of an ideal gas in a closed system. It undergoes a change in state from $L$ to $N$ through two different non-isothermal processes, as shown in the $P-V$...
0 answers
0 votes
A fluid is heated from $40^{\circ}C$ to $60^{\circ} C$ in a countercurrent, double pipe heat exchanger. Hot fluid enters at $100^{\circ}C$ and exits at $70^{\circ}C$. The...
0 answers
0 votes
Consider an infinitely long rectangular fin exposed to a surrounding fluid at a constant temperature $T_a=27^{\circ}C$.The steady state one dimensional energy balance on ...
0 answers
0 votes
Liquid water is pumped at a volumetric flow rate of $0.02 \: m^3 s^{-1}$ from Tank $I$ to Tank $II$, as shown in the figure.Both the tanks are open to the atmosphere. The...
0 answers
0 votes
An elementary liquid phase reversible reaction $P \leftrightarrows Q$ is carried out in an ideal continuous stirred tank reactor (CSTR) operated at steady state. The rate...
0 answers
1 votes
An aqueous suspension at $60^{\circ}C$ is fed to the first effect of a double effect forward feed evaporator with a mass flow rate of $1.25 \: kg \: s^{-1}$. The sum of t...
0 answers
0 votes
Two ideal cross-current stages operate to extract $P$ from a feed containing $P$ and $Q$, as shown below.The mass flow rates of $P$ and $Q$ fed to Stage $1$ are $1,000 \:...
0 answers
0 votes
Consider a vertically falling film of water over an impermeable wall. The film is in contact with a static pool of an non-reactive pure gas. The gas diffuses into the wat...
0 answers
0 votes
An exothermic, aqueous phase, irreversible, first order reaction, $Y \rightarrow Z$ is carried out in an ideal continuous stirred tank reactor (CSTR) operated adiabatical...
0 answers
0 votes
Consider the following closed loop system.$G_c, G_f$ , and $G_p$ are the transfer functions of the controller, the final control element and the process, respectively. $Y...
0 answers
0 votes
Given $\dfrac{dy}{dx}=y-20$, and $y \mid_{x=0}=40$, the value of $y$ at $x=2$ is _________ (round off to nearest integer)