Recent questions tagged gate2015

Choose the most appropriate word from the options given below to complete the following sentence.The principle presented the chief guest with a _______________ , as token...

Choose the appropriate word/phrase, out of the four options given below, to complete the following sentences:Frogs _____________________ .croakroarhisspatter

Choose the word most similar in meaning to the given word:EduceExertEducateExtractExtend

Operators $\square$ , $\lozenge$ and ${\rightarrow}$ are defined by: $a\:\square \:b=\frac{a-b}{a+b}; \:a\:\lozenge \:b=\frac{a+b}{a-b};\:a\rightarrow b=ab.$ Find the val...

If $\log_{x}$ $(5/7)=-1/3$, then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$

The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part. Following the requiremen...

Read the following paragraph and choose the correct statement.Climate change has reduced human security and threatened human well being. An ignored reality of human progr...

Fill in the missing value

A cube of side $3$ units is formed using a set smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are ...

Humpty Dumpty sits on a wall every day while having launch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks.Which one of the statements b...

The following set of the three vectors$$\begin{pmatrix} 1\\2\\1 \end{pmatrix}, \begin{pmatrix} x\\6\\x \end{pmatrix}\:and \:\begin{pmatrix} 3\\4 \\2 \end{pmatrix},$$is li...

Consider a linear ordinary differential equation: $\frac{dy}{dx}+p\left ( x \right )y=r\left ( x \right )$. Functions $p\left ( x \right )$ and $r\left ( x \right )$ are...

A complex-valued function, $f(z)$, given below is analytic in domain $D$:$$f\left ( z \right )=u\left ( x,y\right )+i\nu \left ( x,y\right )\:\:\:\:\:\:\:z=x+iy$$Which of...

A scalar function in the $xy$-plane is given by $\phi \left ( x,y \right )=x^{2}+y^{2}$. If $\hat{i}$ and $\hat{j}$ are unit vectors in the $x$ and $y$ directions, the d...

For a pure liquid, the rate of change of vapour pressure with temperature is $0.1$ bar/$K$ in the temperature range of $300$ to $350\:K$. If the boiling point of the liqu...

Three identical closed systems of a pure gas are taken from an initial temperature and pressure $(T_{1},P_{1})$ to a final state $(T_{2},P_{2})$, each by a different path...

For a gas phase cracking reaction $A{\rightarrow}B+C$ at $300^{\circ}$, the Gibbs free energy of the reaction at this temperature is $\Delta G^{\circ}=-2750$ $J$/mol. The...

If $v,\:u,\:s$ and $g$ represent respectively the molar volume, molar internal energy, molar entropy and molar Gibbs free energy, then match the entries in the left and r...

Two different liquids are flowing through different pipes of the same diameter. In the first pipe, the flow is laminar with centerline velocity, $V_{max,1}$, whereas in t...

For uniform laminar flow over a flat plate, the thickness of the boundary layer, $\delta$ at a distance $x$ from the leading edge of the plate follows the reaction :$\del...

A cylindrical packed bed of height $1\:m$ is filled with equal sized spherical particles. The particles are nonporous and have a density of $1500$ kg/$m^{3}$. The void fr...

Two infinitely large parallel plates ($I$ and $II$) are held at temperatures $T_{I}$ and $T_{II}$ $(T_{I}>T_{II})$ respectively, and placed at a distance $2d$ apart in va...

For a binary mixture of components $A$ and $B$, $N_{A}$ and $N_{B}$ denote the total molar fluxes of components $A$ and $B$, respectively. $J_{A}$ and $J_{B}$ are the cor...

Benzene is removed from air by absorbing it n a non-volatile wash-oil at $100$ $kPa$ in a counter- current gas absorber. Gas flow rate is $100$ mol/min , which includes $...

A spherical naphthalene ball of $2\:mm$ diameter is subliming very slowly in stagnant air at $25^{\circ}C$. The change in the size of the ball during the sublimation can ...

Which of the following can change if only the catalyst is changed for a reaction system?Enthalpy of reactionActivation energyFree energy of the reactionEquilibrium consta...

For which reaction order, the half-Iife of the reactant is half of the full lifetime (time for $100 \%$ conversion) of the reactant ?Zero orderHalf orderFirst orderSecond...

An irreversible, homogeneous reaction $A{\rightarrow}$ products, has the rate expression:Rate = $\frac{2C_{A}^{2}+0.1C_{A}}{1+50C_{A}}$, where $C_{A}$ is the concentratio...

Match the output signals as obtained from four measuring devices in response to a unit step change in the input signal.$\begin{array}{cc}\&\text{P. Gas chromatograph, wit...

The transfer function for the disturbance response in an open-loop process is given by $G_{d}^{open}(s)$. The corresponding transfer function for the disturbance response...

Identify the $WRONG$ statement amongst the following:Steam distillation is used for mixtures that are immiscible with water.Vacuum distillation is used for mixtures that ...

Match the polymer mentioned on the left with the catalyst used for its manufacture given on the right.$\begin{array}{cc}\&\text{I. Low density Polyethylene} & \text{P. Zi...

Match the technologies in Group-$1$ with the entries in Group-$2$:$\begin{array}{cc}\&\text{$Group-1$} & \text{$Group-2$} \\ &\text{P. Urea manufacture} & \text{ I. Micro...

Match the chemicals written on the left with the raw materials required to produce them mentioned on the right.$\begin{array}{cc}\&\text{I. Single Superphosephate $(SSP)$...

The diameters of sand particles in a sample range from $50$ to $150$ microns. The number of particles of diameter x in the sample is proportional to $\frac{1}{50+x}$. The...

A vector $u=-2y\hat{i}+2x\hat{j}$, where $\hat{i}$ and $\hat{j}$ are unit vectors in $x$ and $y$ directions, respectively. Evaluate the line integral$$I=\oint _{C}u.dr$$w...

The solution of the non-linear equation$$x^{3}-x=0$$is to be obtained using Newton-Raphson method. If the initial guess is $x=0.5$, the method converges to which one of t...

For complex variable $z$, the value of the contour integral $\frac{1}{2\pi i} \underset{C}{\int }\frac{e^{-2z}}{z(z-3)}dz$ along the clockwise contour $C:\left | z \right...

A centrifugal pump delivers water at the rate of $0.22 m^{3}/s$ from a reservoir at ground level to another reservoir at a height $H$,through a vertical pipe ot $0.2\:m$ ...