GATE PI 2005
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GATE PI

An expandable pattern is used in
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The shape factor for a casting in the form of an annular cylinder of outside diameter $$30$$ $$cm,$$ inside diameter $$2
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A cast steel slab of dimension $$30 \times 20 \times 5\,\,cm$$ is poured horizontally using a side riser. The riser is c
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The eigen values of the matrix $$M$$ given are $$15, 3, $$ and $$0.$$ $$M = \left[ {\matrix{ 8 & { - 6} & 2
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Which one of the following is Not associated with vector calculus?
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Two dice are thrown simultaneously. The probability that the sum of numbers on both exceeds $$8$$ is
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The life of a bulb (in hours) is a random variable with an exponential distribution $$\,\,f\left( t \right) = \alpha {e^
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The differential equation $${\left[ {1 + {{\left( {{{d\,y} \over {d\,x}}} \right)}^2}} \right]^3} = {C^2}{\left[ {{{{d^2
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The function $$$w = u + iv = {1 \over 2}\log \left( {{x^2} + {y^2}} \right) + i{\tan ^{ - 1}}\left( {{y \over x}} \right
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For solving algebraic and transcendental equation which one of the following is used?
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Newton $$-$$ Raphson formula to find the roots of an equation $$f(x)=0$$ is given by
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The real root of the equation $$x{e^x} = 2$$ is evaluated using Newton $$-$$ Raphson's method. If the first approximati
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A well machined steel plate of thickness $$L$$ is kept such that the wall temperature are $${T_h}$$ and $${T_c}$$ as sho
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Two $$8$$ $$mm$$ thick steel plates are placed $$5$$ $$mm$$ apart and welded by a butt joint. Welding is carried out at
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Match List - I (welding problems) with List - II (Causes) and select the correct answer using the codes given below the
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Consider the following statements : The magnitude of residual stresses in welding depends upon $$1.$$ Metal melted / de
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Consider the following statements: The size of the heat affected zone (HAZ) will increase with $$1.$$ increased starti
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In a fabrication shop, a $$T$$-joint is to be made between two plates using a chain intermittent, double fillet weld of
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If each abrasive grain is viewed as a cutting tool, then which of the following represents the cutting parameters in com
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The effects of setting a boring tool above center height leads to a/an.
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In a machining operation chip thickness ratio is $$0.3$$ and the back rake angle of the tool is $${10^ \circ }.$$ What i
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Consider the following statements During the third stage of tool-wear, rapid deterioration of tool edge takes place bec
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Match List - $${\rm I}$$ with List - $${\rm I}$$$${\rm I}$$ and select the correct answer using the codes given below:
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Consider the following statements $$1.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ As the cutting speed increases, the cost of produc
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Match List - $${\rm I}$$ (Cutting tool materials) with List - $${\rm I}$$$${\rm I}$$ (Manufacturing methods) and select
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The rake angle of a cutting tool is $${15^ \circ }$$, shear angle $${45^ \circ }$$ and cutting velocity $$35$$ $$m/min$$
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A batch of $$500$$ jobs of diameter $$50$$ $$mm$$ and length $$100$$ $$mm$$ is to be turned at $$200$$ $$rev/min$$ and f
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A batch of $$500$$ jobs of diameter $$50$$ $$mm$$ and length $$100$$ $$mm$$ is to be turned at $$200$$ $$rev/min$$ and f
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A $$\phi $$ $$40$$ $$mm$$ job is subjected to orthogonal turning by a $$ + {10^ \circ }$$ rake angle tool at $$500$$ $$r
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A $$\phi $$ $$40$$ $$mm$$ job is subjected to orthogonal turning by a $$ + {10^ \circ }$$ rake angle tool at $$500$$ $$r
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The following data relate to an orthogonal turning process: $$\,\,\,\,\,\,\,\,\,\,\,$$Back rake angle $$=15deg,$$ $$\,
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The following data relate to an orthogonal turning process: $$\,\,\,\,\,\,\,\,\,\,\,$$Back rake angle $$=15deg,$$ $$\,
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Tool life in the case of a grinding wheel is the time
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In a shaper machine, the mechanism for tool feed is
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One brand of milling machine has the following two index plates supplied along with the indexing head: Plate 1: $$15, 1
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Match List - $${\rm I}$$ (Milling problem) with List - $${\rm I}$$$${\rm I}$$ (Probable causes) and select the correct a
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Match List - $${\rm I}$$ (Cutting tools) with List - $${\rm I}$$$${\rm I}$$ (Features) and select the correct answer usi
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$$NC$$ contouring is an example of
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Consider the following characteristics: $$1.$$ Single machine tool. $$2.$$ Manual materials handling system $$3.$$ Comp
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Cold shut (lap) may occur in products obtained by:
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Flash and gutter are provided in drop forging dies at the following stage:
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A level having $${90^0}$$ bend is to be produced by drop forging using mild steel bar as raw material. The various opera
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The true stress-true strain curve is given by $$\sigma = 1400\,{\varepsilon ^{0.33}},$$ where the stress $$\sigma $$ is
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A round billet made of brass is to be extruded (extrusion constant $$=250$$ $$MPa$$ ) at $${700^ \circ }C.$$ The billet
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Assertion (A) : Cold working of metals result in increase of strength and hardness. Reason (R) : Cold working reduces t
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Consider the following statements: In comparison to hot working, in cold working, $$1.$$ Higher forces are required $$2
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A $$\phi \,\,25$$ $$mm$$ hole is pierced in a $$t=2.5mm$$ thick steel sheet having shear strength $$\tau = 350\,\,MPa.$
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Ring gage is used to measure
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A cylindrical pin of diameter $${1.996^{\matrix{ { + 0.0015} \cr { - 0.0015} \cr } }}\,\,mm$$ is assembled i
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