If $$f(t)$$ is a finite and continuous Function for $$t \ge 0$$ the laplace transformation is given by $$F = \int\limit

Find out the eigen value of the matrix $$A = \left[ {\matrix{ 1 & 0 & 0 \cr 2 & 3 & 1 \cr 0

The value of $$\int\limits_0^\infty {{e^{ - {y^3}}}.{y^{1/2}}} $$ dy is _________.

If $$H(x, y)$$ is homogeneous function of degree $$n$$ then $$x{{\partial H} \over {\partial x}} + y{{\partial H} \over

For the differential equation $$\,\,{{dy} \over {dt}} + 5y = 0\,\,$$ with $$y(0)=1,$$ the general solution is

Solve for $$y$$ if $${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + y = 0$$ with $$y(0)=1$$ and $${y^1}\left( 0 \right

A stone of mass m at the end of a string of length l is whirled in a vertical circle at a constant speed. The tension in

For a fluid element in a two dimensional flow field ($$x-y$$ plane), it will undergo

Streamlines, path lines and streak lines are virtually identical for

In a flow field, the streamlines and equipotential lines

Circulation is defined as line integral of tangential component of velocity about a _________ (fill in the blank)

Existence of velocity potential implies that

Bodies in floatation to be in stable equilibrium the necessary and sufficient condition is that the center of gravity is

Bernoulli’s equation can be applied between any two points on a stream line for a rotational flow field.

In a venturimeter, the angle of the diverging section is more than that of converging section.

For a fully developed laminar flow through a pipe, the ratio of the maximum velocity to the average velocity is ________

Prandtl’s mixing length is turbulent flow signifies

Fluid is flowing with an average velocity of $$V$$ through a pipe of diameter $$d.$$ over a length of $$L,$$ the “head”

The necessary and sufficient condition which brings about separation of boundary layer is $${{dP} \over {dx}} > 0$$

As the transition from laminar to turbulent flow is induced in a cross flow past a circular cylinder the value of the dr

When the fluid velocity is doubled the thermal time constant of a thermometer used for measuring the fluid temperature r

For air near atmospheric condition flowing over a flat plate the laminar thermal boundary layer is thicker than hydrodyn

The shape factors with themselves of two infinitely long black body concentric cylinders with a dia ratio of $$3$$ are .

The practice to use steam on the shell side and cooling water on the tube side in condensers of steam power plant is bec

Two streams of fluid of unit constant specific heats and unit mass flow rate exchange thermal energy in an adiabatic hea

Two insulting materials of thermal conductivity $$K$$ and $$2K$$ are available for lagging a pipe carrying a hot fluid.

Two shafts $$A$$ and $$B$$ are made of the same material. The diameter of shaft $$B$$ is twice that of shaft $$A.$$ The

Only $$4$$ pairs can be matched :

The process of hot extrusion is used to produce

Calculate the bite angle when rolling plates $$12mm$$ thick using work rolls $$600mm$$ diameter and reducing the thickne

The electrodes used in $$arc$$ welding are coated. This coating is not expected to

The ratio of acetylene to oxygen is approximately ................ for neutral flame used in gas welding

Generally cylindrical parts produced by powder metallurgy should not have non uniform cross section and a length to diam

A single point cutting tool made of $$HSS$$ has the value of constant $$'C'$$ $$80,$$ and $$n=0.2$$ in the basic tool li

A mild steel block of width $$40$$ $$mm$$ is being milled using a straight slab cutter $$70mm$$ diameter with $$30$$teet

To get good surface finish on a turned job, one should use a sharp tool with a ......... Feed rate and ............... S

A grinding wheel $$A$$ $$27$$ $$K7$$ $$V$$ is specified for finish grinding of a $$HSS$$ cutting tool. What do you under

In deep drawing of sheets, the values of limiting draw ratio depends on

$$CNC$$ machines are more economical to use even for simple turning jobs.

$$CNC$$ machines are more accurate than conventional machines because they have a high resolution encoder and digital re

Below Fig. shows a rigid bar hinged at A and supported in a horizontal position by two vertical identical steel wires. N

Two shafts $$A$$ and $$B$$ are made of the same material. The diameter of shaft $$B$$ is twice that of shaft $$A$$. the

For the case of a slender column of length $$l,$$ and flexural rigidity $$EI$$ built-in at its base and free at the top,

In spur gears having involute teeth, the product of circular pitch and diametral pitch is _________

The definition of 1 K as per the internationally accepted temperature scale is

Any thermodynamic cycle operating between two temperature limits is reversible if the product of efficiency when operati

A $$1500$$ $$W$$ electrical heater is used to heat $$20$$ $$kg$$ of water $$\left( {{C_p} = 4186\,\,J/kg\,\,K} \right)$$

The slopes of constant volume and constant pressure lines in the $$T$$-$$s$$ diagram are ___________ and ___________resp

For a given set of operating pressure limits of a Rankine cycle, the highest efficiency occurs for

For a single stage impulse turbine with rotor diameter of $$2$$ $$m$$ and a speed of $$3000$$ $$rpm$$ when the nozzle an

In terms of speed of rotation of the impeller $$N$$, discharge $$Q$$ and a change in total head $$H$$, through the machi