Recent questions tagged gate2013

Velocity of an object fired directly in upward direction is given by $V = 80 – 32\: t$, where $t$ (time) is in seconds. When will the velocity be between $32\: m/sec$ and...

In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production, $2\%$ of $M1$ and $3\%$ of $M2$ ar...

Following table gives data on tourists from different countries visiting India in the year $2011$$$\begin{array}{|cl|cl|} \hline & \textbf{Country} & \textbf{Number of T...

All professors are researchersSome scientists are professorsWhich of the given conclusions is logically valid and is inferred from the above arguments:All scientists are ...

Consider the following transfer function $G_p(s) = \dfrac{5}{(2s+1)^4}$(Note: The unit of the processor time constan...

For the computation of Ziegler-Nichols settings, the ultimate period (in s/cycle) and the ultimate gain are $\pi$ and $0.8$, respectively$4\pi$ and $0.8$, respectively$4\...

Select the pair that best expresses a relationship similar to that expressed in the pair:$\text{water : pipe ::}$cart: roadelectricity: wiresea: beachmusic: instrument

Mahatma Gandhi was known for his humility ashe played an important role in humiliating exit of British from India.he worked for humanitarian causes.he displayed modesty i...

$\frac{Allengineering students }{I}$ $\frac{should learn mechanics}{II}$, $\frac{mathematics and}{III}$ $\frac{how to do computation}{IV}$Which of the above underlined pa...

The Headmaster ______ to speak to you.Which of the following options is incorrect to complete the above sentence?is wanting.wantswantwas wanting

If 3 $\le$ X $\le$ 5 and 8 $\le$ Y $\le$ 11 then which of the following options is TRUE?$\frac{3}{5}$ $\le$ $\frac{X}{Y}$ $\le$ $\frac{8}{5}$$\frac{3}{11}$ $\le$ $\frac{X...

Liquid reactant A decomposes as follows A $\rightarrow$ R r${_R} $= k${_1}$C$^{2}$${_A}$ k${_1}$ = 0.5m$^{3}$/mol-s...

Liquid reactant A decomposes as follows A $\rightarrow$ R r${_R} $= k${_1}$C$^{2}$${_A}$ k${_1}$ = 0.5m$^{3}$/mol-s...

A fraction $f$ of the feed is bypassed and mixed with the permeate to obtain treated water having a fluoride concentration of 1 mg/L. Here also the flow rate of the rejec...

A reverse osmosis unit treats feed water (F) containing fluoride and its output consists of a permeate stream (P) and a reject stream (R). Let C${_F}$, C${_p}$, and C${_R...

A plant manufactures compressors at the rate of N units/day. The daily fixed charges are Rs. 20000 and the variable cost per compressor is Rs. 500 + 0.2 N$^{1.3}$. The se...

The vapor liquid equilibrium relation for an ideal binary system is given by y*${_A}$ = $\frac{\alpha{_A}{_B}x{_A}}{...

The vapor liquid equilibrium relation for an ideal binary system is given by y*${_A}$ = $\frac{\alpha{_A}{_B}x{_A}}{...

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...

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. ...

A first order liquid phase reaction is carried out isothermally at a steady state in a CSTR and 90% conversion is attained. With the same inlet conditions and for the sam...

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$...

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...

Match the reactant-product combination in Group 1 with the unit process in Group 2 Group 1 ...

Identify which of the following statements are FALSE.(P) Oils with an oleic radical (1 double bond) are more suitable than oils with a linolenic radical (3 double bonds) ...

A study was conducted in which water was pumped through cylindrical pipes made of a sparingly soluble solid. For a given pipe and certain flow conditions, the mass transf...

The vapor-liquid equilibrium curve of a binary mixture A-B,may be approximated by a linear equation over a narrow range of liquid mole fractions (0.2 < x${_A}$ < 0.3) as...

Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100 $^{o}$C to 1000 $^{o}$C. The sp...

100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27...

In a double pipe counter-current heat exchanger, the temperature profiles shown in the figure were observed. During operation, due to fouling inside the pipe, the heat tr...

A crosscurrent cascade of N ideal stages is used to treat a feed stream of molar flow rate E. The feed stream contains a solute which is to be recovered by a pure solvent...

The solution of the differential equation$\frac{dy}{dx}$ – y$^{2}$ = 0, given y=1 at x=0 is$\frac{1}{1+x}$$\frac{1}{1-x}$$\frac{1}{(1-x)^2}$$\frac{x^3}{3}$+1

Water (density 1000 kg/m$^{3}$) is flowing through a nozzle, as shown below and exiting to the atmosphere. The relationship the diameters of the nozzle at location 1 and ...

A binary liquid mixture is in equilibrium with its vapor at a temperature T = 300 K. The liquid mole fraction x${_1}$ of species 1 is 0.4 and the molar excess Gibbs free ...

In a process occurring in a closed system F, the heat transferred from F to the surroundings E is 600 J. If the temperature of E is 300 K and that of F is in the range 38...

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 $\_\_...

The solution of the differential equation$\frac{d^2y}{dx^2}$ – $\frac{dy}{dx}$ + 0.25y = 0, given y = 0 at x = 0 and $\frac{dy}{dx}$ = 1 at x = 0 isxe$^{0.5x}$ – xe$^{-0...

For the functionf(z) = $\frac{1}{(2-z)(z+2)}$the residue at z = 2 is $\_\_\_\_\_$