In a metal casting process, molten copper alloy is poured into a sand mould. The level of molten metal in the pouring ba

Match the items in the first column to their functions in the second column.

The curve $$\,\,y = {x^4}\,\,$$

The function $$f\left( x \right) = {x^2} = x + x + x + ....x$$ times, is defined

The value of $$\mathop {\lim }\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} {{{x^2} - xy} \over {\sqrt x -

A product is an assemble of $$5$$ different components. The product can be sequentially assembled in two possible ways.

A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event

The solution to $$\,6y{y^1} - 25x = 0\,\,$$ represents a

The solution to $$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$ is

In numerical integration using Simpson's rule, the approximating function in the interval is a

In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a nozzle as shown in the

In a $$1$$ $$m$$ thick wall, the temperature distribution at a given instant is $$T\left( x \right) = {c_0} + {c_1}x +

A line balancing problem is solved in the context of

A manufacturing line requires $$7.2$$ minutes to make a product. The line has six workstations arranged as per the requi

Arrival of machines for repair in a maintenance shop follows a Poisson distribution at a rate of one per $$18$$ hours. T

Two aluminium alloy plates each $$10$$ $$mm$$ thick and $$1$$ $$m$$ long are welded without crowning by multipass tungst

The angle of a twist drill that determines its rake angle is

During turning of mild steel work material, the maximum temperature is observed at

Built-up edge formation decreases under the conditions listed below EXCEPT

In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle, the measured cutting

Which one of the following statements related to grinding process is INCORRECT?

In a slab milling operation, a cutter of $$75$$ $$mm$$ diameter with sufficient width is used to remove $$5$$ $$mm$$ thi

In drilling operation, a twist-drill of $$30$$ $$mm$$ diameter with point angle of $$118$$ degrees is used. If the $$CNC

In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefi

Match the linear transformation matrices listed in the first column to their interpretations in the second column.

In a Flexible manufacturing system, the Automated Guided Vehicles $$(AGV)$$ move at a speed of $$50$$ $$m/min,$$ cover a

The true stress at fracture of a tensile tested specimen, having an initial diameter of specimen at fracture is $$10$$ $

In rolling of a flat strip, the relative velocity of strip with respect to the roller is

The maximum reduction per pass during wire drawing of an aluminium alloy ignoring friction and redundant work is $$77\%

Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of $$200$$ $$MPa$$ having

A surface is prepared specially for an application with the profile as shown in the figure. The theoretical $${R_a}$$

During the measurement of internal taper of a part using standard balls of diameter $$15$$ $$mm$$ and $$20$$ $$mm$$, the

The room-temperature stress $$\left( \sigma \right)$$ - strain $$\left( \varepsilon \right)$$ curves of four materials

A metallic bar of uniform cross-section with specific weight of $$100$$ kN/m3 is hung vertically down. The length and Yo

If the principal stress values are $$120$$ MPa, $$-50$$ MPa and $$10$$ MPa in a given state of stress, then maximum shea

A beam is loaded as shown in the figure The bending moment, in $$Nm$$, at point $$R$$ is _______.

In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of $$150$$ rpm. The valu

An ideal gas of mass $$m$$ is contained in a rigid tank of volume $$V$$ at a pressure $$P.$$ During a reversible process