The laplace transform of the periodic function $$f(t)$$ described by the curve below $$i.e.\,\,f\left( t \right) = \lef

Simpson's rule for integration gives exact result when $$f(x)$$ is a polynomial function of degree less than or equal to

$$\mathop {Lim}\limits_{x \to 0} {{x\left( {{e^x} - 1} \right) + 2\left( {\cos x - 1} \right)} \over {x\left( {1 - \cos

The function $$f\left( {x,y} \right) = {x^2}y - 3xy + 2y + x$$ has

The differential equation $${y^{11}} + y = 0\,$$ is subjected to the conditions $$y(0) = 0,$$ $$\,\,\,y\left( \lambda \

The differential $$\,\,\,{{{d^2}y} \over {d{x^2}}} + {{dy} \over {dx}} + \sin y = 0\,\,$$ is

Given the differential equation $${y^1} = x - y$$ with initial condition $$y(0)=0.$$ The value of $$y(0.1)$$ calculated

The cylinder shown below rolls without slipping. In which direction does the friction force act? Towards which of the f

A velocity field is given as $$$\overrightarrow V = 3{x^2}y\widehat i - 6xyz\widehat k$$$ Where $$x,y,z$$ are in $$m$$

Shown below are three pipe sections through which water flows as shown. Option $$(a)$$ to $$(d)$$ below pertain to the d

Shown below are three cylindrical gates which restrain water in $$2$$-$$D$$ channel. Which gate experiences the maximum

Shown below are three tanks, tank $$1$$ without an orifice tube and tanks $$2$$ and $$3$$ with orifice tubes as shown. N

The velocity profile across a boundary layer on a flat plate may be approximated as linear $$${V_x}\left( {x,y} \right)

An electric hot plate is maintained at a temperature of $${350^ \circ }C,$$ and is used to keep a solution boiling at $$

The radiative heat transfer rate per unit area $$\left( {W/{m^2}} \right)$$ between two plane parallel gray surfaces (em

For a small project with five jobs, the following data is given (i) Draw the project network in activity on arc mode

The outside diameter of a hollow shaft is twice its inside diameter. The ratio of its torque carrying capacity to that o

The yield strength of a steel shaft is twice its endurance limit. Which of the following torque fluctuations represent t

Centrifugally casted products have

An aluminium cube of $$10$$ $$cm$$ side has to be cast along with a cylindrical riser of height equal to its diameter. T

In $$DC$$ welding, the straight polarity (electrode negative) results in

A milling cutter having $$8$$ teeth is rotating at $$150$$ $$rpm.$$ If the feed per tooth is $$0.1$$ $$mm,$$ the speed

A shaft of diameter $${20^{\matrix{ { + 0.05} \cr { - 0.15} \cr } }}\,\,mm$$ and a hole of diameter $${20^{\

With reference to $$NC$$ machines, which of the following statements is wrong?

Determine the temperature rise necessary to induce buckling in a 1 m long circular rod of diameter 40 mm shown in the fi

At a point in a stressed body the state of stress on two planes $$45$$0 apart is as shown below. Determine the two princ

A concentrated load $$P$$ acts on a simply supported beam of span $$L$$ at a distance $${L \over 3}$$ from the left supp

The compound shaft shown is built-in at the two ends. It is subjected to a twisting moment $$T$$ at the middle. What is

A circular rod of diameter $$d$$ and length $$3d$$ is subjected to a compressive force $$F$$ acting at the top point as

The number of degrees of freedom of a five link plane mechanism with five revolute pairs as shown in the figure is:

When a system executes an irreversible cycle:

The relationship $$\,{\left( {\partial T/{\partial _p}} \right)_h} = 0$$ holds good for :

At the point of a pure substance, the number of degrees of freedom is :

A vessel of volume $$\,\,1.0\,\,{m^3}$$ contains a mixture of liquid water and steam in equilibrium at $$1.0$$ bar.Given

In the vicinity of the triple point, the vapour pressures of liquid and solid ammonia are respectively given by $$\eqal

An insulated rigid vessel contains a mixture of fuel and air. The mixture is ignited by a minute spark. The contents of

A body of weight $$100$$ $$N$$ falls freely a vertical distance of $$50m$$.The atmospheric drag force is $$0.5N.$$ For t

The first law of thermodynamics takes the form $$W = - \Delta \,H$$ when applied to :

A rigid insulated cylinder has two compartments separated by a thin membrane. While one compartment contains one kmol ni

A vertical cylinder with a freely floating piston contains $$0.1$$ $$kg$$ air at $$1.2$$ bar and a small electrical res

A reversible heat transfer demands:

Round the clock cooling of an apartment having a load of $$300$$ $$MJ/day$$ requires and air-conditioning plant of capac

During the phase change of a pure substance:

Which among the following relations is/are valid ONLY for reversible process undergone by a pure substance?

Figure below shows a reversible heat engine $${E_R}$$ having heat interactions with three constant temperature systems.

The equivalent evaporation $$(kg/hr)$$ of a boiler producing $$2000$$ $$kg/hr$$ of steam with enthalpy content of $$2426

In a single stage single row impulse turbine, the steam is entering at a velocity of $$1200$$ $$m/s$$ with a nozzle angl

Cavitation in a hydraulic reaction turbine is most likely to occur at the turbine

Specific speed of a Kaplan turbine ranges between