GATE PI 2016
View Questions

GATE PI

Two cast iron blocks $$P$$ and $$Q,$$ each of $$500$$ $$mm$$ length, have the same cross-sectional area. Block $$P$$ has
View Question
The eigen values of the matrix are $$\left[ {\matrix{ 0 & 1 \cr { - 1} & 0 \cr } } \right]$$
View Question
The number of solutions of the simultaneous algebraic equations $$y=3x+3$$ and $$y=3x+5$$ is
View Question
At $$x=0,$$ the function is $$f\left( x \right) = \left| {\sin {{2\pi x} \over L}} \right|\left( { - \infty < x <
View Question
The range of values of $$k$$ for which the function $$\,\,f\left( x \right) = \left( {{k^2} - 4} \right){x^2} + 6{x^3} +
View Question
For the two functions $$f\left( {x,y} \right) = {x^3} - 3x{y^2}\,\,$$ and $$\,\,g\left( {x,y} \right) = 3{x^2}y - {y^3}
View Question
$$\mathop {\lim }\limits_{x \to 0} \left( {{{{e^{5x}} - 1} \over x}} \right)$$ is equal to ________.
View Question
A normal random variable $$X$$ has the following probability density function $$${f_x}\left( x \right) = {1 \over {\sqr
View Question
A fair coin is tossed $$N$$ times. The probability that head does not turn up in any of the tosses is
View Question
To solve the equation $$2sinx=x$$ by Newton- Raphson method, the initial guess was chosen to be $$x=2.0.$$ Consider $$x$
View Question
The function $$f\left( z \right) = {{{z^2} + 1} \over {{z^2} + 4}}$$ is singular at
View Question
In abrasive water jet machining, the velocity of water at the exit of the orifice, before mixing with abrasives, is 800
View Question
A $$2m \times 2m$$ square operating in a vertical wall is covered with a metalic plate of the same dimensions as shown i
View Question
A vertical cylindrical tank of $$1$$ $$m$$ diameter is filled with water up to a height of $$5$$ $$m$$ from its bottom.
View Question
In a fully developed turbulent flow through a circular pipe, a head loss of ݄$${{h_1}}$$ is observed. The diameter of th
View Question
A long slender metallic rod of length $$L$$ is used as a fin. As shown in the figure below, the left end of the fin is k
View Question
The throughput rate of a production system is $$20$$ units per hour. The average flow time is $$30$$ minutes and the cyc
View Question
Consider a network with nodes $$1, 2, 3, 4, 5$$ and $$6.$$ The nodes are connected with directed arcs as shown in the ta
View Question
In linear gas tungsten arc welding of two plates of the same material, the peak temperature $$T$$ (in $$K$$) is given as
View Question
Two flat steel sheets, each of $$2.5$$ $$mm$$ thickness, are being resistance spot welded using a current of $$6000$$ $$
View Question
A helical gear with involute tooth profile has been machined with a disc-type form gear milling cutter. The helical gear
View Question
A single point right handed turning tool is used for straight turning. The feed is $$0.25$$ $$mm/rev$$ and the uncut chi
View Question
A cylindrical bar of $$100$$ $$mm$$ diameter is orthogonally straight turned with cutting velocity, feed and depth of cu
View Question
A $$60$$ $$mm$$ wide block of low carbon steel is face milled at a cutting speed of $$120$$ $$m/min,$$ feed of $$0.1$$ $
View Question
Consider the following statements. $$(P)$$ Computer aided process planning $$(CAPP)$$ takes input from material requirem
View Question
A single axis $$CNC$$ table is driven by a $$DC$$ servo motor that is directly coupled to a lead screw of $$5$$ $$mm$$ p
View Question
In a single-pass rolling operation, a $$200$$ $$mm$$ wide metalic strip is rolled from a thickness $$10$$ $$mm$$ to a th
View Question
Two solid cylinders of equal diameter have different heights. They are compressed plastically by a pair of rigid dies to
View Question
The ratio of press force required to punch a square hole of $$30$$ $$mm$$ side in a $$1$$ $$mm$$ thick aluminium sheet t
View Question
The limits of a shaft designated as $$100h5$$ are $$100.000$$ $$mm$$ and $$100.014$$ $$mm.$$ Similarly, the limits of a
View Question
The roughness profile of a surface is depicted below. The surface roughness parameter $${R_a}\,\,$$ (in $$\mu m$$) is
View Question
A beam is subjected to an inclined concentrated load as shown in the figure below. Neglect the weight of the beam. Th
View Question
Consider the following statements: (P) Hardness is the resistance of a material to indentation. (Q) Elastic modulus is a
View Question
A bar of rectangular cross-sectional area of $$50$$ mm2 is pulled from both the sides by equal forces of $$100$$ N as sh
View Question
A 1 m × 10 mm $$ \times $$ 10 mm cantilever beam is subjected to a uniformly distributed load per unit length of 100 N/
View Question
A thin-walled cylindrical pressure vessel of internal diameter 2 m is designed to withstand an internal pressure of 500
View Question
An engine, connected with a flywheel, is designed to operate at an average angular speed of $$800$$ rpm. During operatio
View Question
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12