Solve the system $$2x+3y+z=9,$$ $$4x+y=7,$$ $$x-3y-7z=6$$

Among the following, the pair of vectors orthogonal to each other is

The area bounded by the parabola $$2y = {x^2}$$ and the lines $$x=y-4$$ is equal to _________.

If $$\overrightarrow V $$ is a differentiable vector function and $$f$$ is sufficienty differentiable scalar function th

The solution to the differential equation $$\,{f^{11}}\left( x \right) + 4{f^1}\left( x \right) + 4f\left( x \right) = 0

A differential equation of the form $${{dy} \over {dx}} = f\left( {x,y} \right)\,\,$$ is homogeneous if the function $

A spring scale indicates a tension $$T$$ in the right hand cable of the pulley system shown in figure below. Neglecting

A fluid is said to be Newtonian fluid when the shear stress is

The velocity components in the $$x$$ and $$y$$ directions are given by $$u = \lambda x{y^3} - {x^2}y,$$ $$v = x{y^2} - {

The force $$F$$ needed to support the liquid of density $$d$$ and the vessel on top (fig) is

In fully developed laminar flow in the circular pipe, the head loss due to friction is directly proportional to .......

Consider two large parallel plates, one at $${T_1} = {727^ \circ }C$$ with emissivity $${\varepsilon _1} = 0.8$$ and the

A counter flow heat exchanger is to heat air entering at $${400^ \circ }C$$ with a flow rate of $$6$$ $$kg/s$$ by the ex

If the demand for an item is doubled and the ordering cost halved, the economic order quantity

Consider the following data for a product: Demand $$=1000$$ units/year Order cost $$=$$ Rs.$$40$$/order Holding cost $$

In $$PERT,$$ the distribution of activity times is assumed to be

A project with the following data is to be implemented: (a) What is the minimum duration of the project? (b) Draw a G

On the average $$100$$ customers arrive at a place each hour, and on the average the server can process $$120$$ customer

The manufacturing area of a plant is divided into four quadrants. Four machines have to located one in each quadrant. Th

Interference in a pair of gears is avoided, if the addendum circles of both the gears intersect common tangent to the b

Match the following: List-$${\rm I}$$ (A) Worm gears (B) Cross helical gears (C) Bevel gears (D) Spur gears List-$${\rm

Machine tool, structures are made ................. for high process capability (tough/ rigid/ strong)

A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength

Cutting power consumption in turning can be signification reduced by

A single point turning tool is designated as $$${10^ \circ } - {12^ \circ } - {7^ \circ } - {5^ \circ } - {20^ \circ }

If under a condition of plain turning the life of the cutting tool decreases by $$50\% $$ due to increase in the cutting

While turning a $$C15$$ steel of $$160mm$$ diameter at $$215rpm,$$ $$2.5mm$$ depth of cut and feed of $$0.16mm/rev$$ by

Diamond wheels should not be used for grinding steel components

Among the conventional machining processes, maximum specific energy is consumed in

Plain milling of mild steel plates produces

Determine the transformation ratio $$(TR)$$ of the gear train connecting the spindle and the lead screw of $$4TPI$$ requ

Slip gauges are calibrated by outside micrometer

Checking the diameter of a hole using GO and NOGO gauges is an example of inspection by …………… (variables/attributes)

A free bar of length 1 m is uniformly heated from $${0^ \circ }C$$ to a temperature of $${t^ \circ }C$$. $$\alpha $$ is

Fig. shows a quick return mechanism. The crank $$OA$$ rotates clockwise uniformly. $$OA=2$$ cm, $$O{O^1} = 4$$ cm. The

List $$I$$ (Gear types) (a) Worm gears (b) Cross helical gears (c) Bevel gears (d) Spur gears List $$II$$ (Applications)

The arm OA of an epicylic gear train shown in Fig. revolves counter clockwise about O with an angular velocity of 4 rad/

In adiabatic flow with friction, the stagnation temperature along a streamline ____________ (increase / remains constant

Consider a Rankine cycle with superheat. If the maximum pressure in the cycle is increased without changing the maximum

Dry saturated steam enters a friction-less adiabatic nozzle with negligible velocity at a temperature of $${300^ \circ }

A heat reservoir at $$900$$ $$K$$ is brought into contact with the ambient at $$300$$ $$K$$ for a short time. During thi

Constant pressure lines in the super-heated region of the Mollier diagram will have

Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which

In the case of a refrigeration system undergoing an irreversible cycle, $$\oint {{{SQ} \over T}} $$ is _____________$$\

One kilomole of an ideal gas is throttled from an initial pressure of $$0.5$$ $$MPa$$ to $$0.1$$ $$MPa.$$ The initial te