Recent questions tagged gate2016

The volume of a sphere of diameter $1$ unit is ________ than the volume of a cube of side $1$ unit.leastlesslesserlow

The unruly crowd demanded that the accused be _____________ without trial.hangedhanginghankeringhung

Choose the statement $(s)$ where the underlined word is used correctly:A $\underline{\text{prone}}$ is a dried plum.He was lying $\underline{\text{prone}}$ on the floor.P...

Fact: If it rains, then the field is wet.Read the following statements:It rainsThe field is not wetThe field is wetIt did not rainWhich one of the options given below is ...

A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If t...

Students taking an exam are divided into two groups, $P$ and $Q$ such that each group has the same number of students. The performance of each of the students in a test w...

A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the ...

Find the missing sequence in the letter series.B, FH, LNP, _ _ _ _.SUWYTUVWTVXZTWXZ

Which of the following curves represents the function $\text{y=ln}(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the o...

Which one of the following is an iterative technique for solving a system of simultaneous linear algebraic equations?Gauss eliminationGauss-JordanGauss-Seidel$LU$ decompo...

The Laplace transform of $e^{at}\sin\left ( bt \right )$ is$\frac{b}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \right )^{2}+b^{2}}$$\frac{s-a}{\left ( s-a \...

What are the modulus $\left ( r \right )$ and argument $\left ( \theta \right )$ of the complex number $3+4i$ ?$r=\sqrt{7}, \theta =tan^{-1}\left ( \frac{4}{3} \right )$$...

A liquid mixture of ethanol and water is flowing as inlet stream $P$ into a stream splitter. It is split into two streams, $Q$ and $R$, as shown in the figure below.The f...

The partial molar enthalpy (in $kJ$/mol) of species $1$ in a binary mixture is given by $\bar{h}_{1}=2 -60x_{2}^{2}+100x^{1}x_{2}^{2},$ where $x_{1}$ and $x_{2}$ are the ...

For a flow through a smooth pipe, the Fanning friction factor $(f)$ is given by $f=mRe^{-0.2}$ in the turbulent flow regime, where $Re$ is the Reynolds number and $m$ is ...

In a cyclone separator used for separation of solid particles from a dust laden gas, the separation factor is defined as the ratio of the centrifugal force to the gravita...

A vertical cylindrical vessel has a layer of kerosene (of density $800\: kg/m^{3}$) over a layer of water (of density $1000 \:kg/m^{3}$). $L$ – shaped glass tubes are con...

A composite wall is made of four different materials of construction in the fashion shown below. The resistance (in $K/W$) of each sections of the wall is indicated in th...

Steam at $100^{\circ}C$ is condensing on a vertical steel plate. The condensate flow is laminar. The average Nusselt numbers are $Nu_{1}$ and $Nu_{2}$, When the plate tem...

A binary liquid mixture of benzene and toluene contains $20$ mol$\%$ of benzene. At $350 \:K$ the vapour pressures of pure benzene and pure toluene are $92\: kPa$ and $35...

Match the dimensionless numbers in $Group–I$ with the ratios in $Group–2$.$\begin{array}{cc}\\&\text{Group-1} & \text{Group-2} \\ &\text{P. Biot number} & \text{ I. $\fr...

For what value of Lewis number, the wet-bulb temperature and adiabatic saturation temperature are nearly equal?$0.33$$0.5$$1$$2$

For a non-catalytic homogeneous reaction $A\rightarrow B$, the rate expression at $300\:K$ is $-r_{A}$$\left (mol\; m^{-3} s^{-1}\right )=\frac{10C_{A}}{1+5C_{A}}$...

The variations of the concentration $\left ( C_{A} ,C_{R}\:and\:C_{S}\right )$ for three species $\left ( A,R\:and\:S \right )$ with time, in an isothermal homogeneous ba...

Hydrogen iodide decomposes through the reaction $2HI\leftrightharpoons H_{_{2}}+I_{2}$. The value of the universal gas constant $R$ is $8.314 \:J\:mol^{-1}K^{-1}$. The ac...

Match the instruments in $Group–I$ with process variable in $Group–2$.$\begin{array}{cc}\\&\text{Group-1} & \text{Group-2} \\ &\text{P. Conductivity meter} & \text{ I. Fl...

What is the order of response exhibited by a $U$-tube manometer? Zero orderFirst orderSecond orderThird order

A system exhibits inverse response for a unit step change in the input. Which one of the following statement must necessarily be satisfied?The transfer function of the sy...

Two design options for a distillation system are being compared based on the total annual cost. Information available is as follows:$$\begin{array}{clcIcIcI|cI|c}\hline&...

Standard pipes of different schedule numbers and standard tubes of different $BWG$ numbers are available in the market. For a pipe/tube of a given nominal diameter, which...

Terms used in engineering economics have standard definitions and interpretations. Which one of the following statements is $INCORRECT$?The profitability measure 'return ...

India has no elemental sulphur deposits that can be economically exploited. In India, which one of the following industries produces elemental sulphur as a by-product?Co...

Two paper pulp plants $P$ and $Q$ use the same quality of bamboo as a raw material. The chemicals used in their digester are as follows:$$\begin{array}{clcIcI|cI|cI|c}\hl...

Match the industrial processes in $Group–I$ with the catalyst materials in $Group–2$.$\begin{array}{cc}\\ \\&\text{Group-1} & \text{Group-2} \\ &\text{P. Ethylene polyme...

A set of simultaneous linear algebraic equations is represented in a matrix form as shown below.$\begin{bmatrix} 0 &0 &0 &4 &13 \\ 2& 5& 5& 2& 10\\ 0&0 &2 &5 &3 \\ 0&0 &0...

The Lagrange mean-value theorem is satisfied for $f\left ( x \right )=x^{3}+5$, in the interval $\left ( 1,4 \right )$ at a value (rounded off to the second decimal place...

Values of $f\left ( x \right )$ in the interval $\left [ 0,4 \right ]$ are given below.$\begin{array}{|cl|cI|cI|cI|cI|cI|}\hline&{x} & \text{0} & \text{1} & \text{2} & \t...

A jacketed stirred tank with a provision for heat removal is used to mix sulphuric acid and water in a steady state flow process. $H_{2}SO_{4}$ $(l)$ enters at a rate of ...

An ideal gas is adiabatically and irreversibly compressed from $3$ bar and $300\:K$ to $6$ bar in a closed system. The work required for the irreversible compression is $...