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 $$2 View Question A cast steel slab of dimension$$30 \times 20 \times 5\,\,cm$$is poured horizontally using a side riser. The riser is c View Question The eigen values of the matrix$$M$$given are$$15, 3, $$and$$0.M = \left[ {\matrix{ 8 &amp; { - 6} &amp; 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 $$\,\,f\left( t \right) = \alpha {e^ View Question The differential equation$${\left[ {1 + {{\left( {{{d\,y} \over {d\,x}}} \right)}^2}} \right]^3} = {C^2}{\left[ {{{{d^2
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The function $$w = u + iv = {1 \over 2}\log \left( {{x^2} + {y^2}} \right) + i{\tan ^{ - 1}}\left( {{y \over x}} \right View Question For solving algebraic and transcendental equation which one of the following is used? View Question Newton$$-$$Raphson formula to find the roots of an equation$$f(x)=0$$is given by View Question The real root of the equation$$x{e^x} = 2$$is evaluated using Newton$$-$$Raphson's method. If the first approximati View Question A well machined steel plate of thickness$$L$$is kept such that the wall temperature are$${T_h}$$and$${T_c}$$as sho View Question Two$$8mm$$thick steel plates are placed$$5mm$$apart and welded by a butt joint. Welding is carried out at View Question Match List - I (welding problems) with List - II (Causes) and select the correct answer using the codes given below the View Question Consider the following statements : The magnitude of residual stresses in welding depends upon$$1.$$Metal melted / de View Question Consider the following statements: The size of the heat affected zone (HAZ) will increase with$$1.$$increased starti View Question In a fabrication shop, a$$T$$-joint is to be made between two plates using a chain intermittent, double fillet weld of View Question If each abrasive grain is viewed as a cutting tool, then which of the following represents the cutting parameters in com View Question The effects of setting a boring tool above center height leads to a/an. View Question In a machining operation chip thickness ratio is$$0.3$$and the back rake angle of the tool is$${10^ \circ }.$$What i View Question Consider the following statements During the third stage of tool-wear, rapid deterioration of tool edge takes place bec View Question Match List -$${\rm I}$$with List -$${\rm I}{\rm I}$$and select the correct answer using the codes given below: View Question Consider the following statements$$1.\,\,\,\,\,\,\,\,\,\,\,\,$$As the cutting speed increases, the cost of produc View Question Match List -$${\rm I}$$(Cutting tool materials) with List -$${\rm I}{\rm I}$$(Manufacturing methods) and select View Question The rake angle of a cutting tool is$${15^ \circ }$$, shear angle$${45^ \circ }$$and cutting velocity$$35m/min$$View Question A batch of$$500$$jobs of diameter$$50mm$$and length$$100mm$$is to be turned at$$200rev/min$$and f View Question A batch of$$500$$jobs of diameter$$50mm$$and length$$100mm$$is to be turned at$$200rev/min$$and f View Question A$$\phi 40mm$$job is subjected to orthogonal turning by a$$ + {10^ \circ }$$rake angle tool at$$500r
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A $$\phi$$ $$40$$ $$mm$$ job is subjected to orthogonal turning by a $$+ {10^ \circ }$$ rake angle tool at $$500$$ $$r View Question The following data relate to an orthogonal turning process:$$\,\,\,\,\,\,\,\,\,\,\,$$Back rake angle$$=15deg,\,
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The following data relate to an orthogonal turning process: $$\,\,\,\,\,\,\,\,\,\,\,$$Back rake angle $$=15deg,$$ $$\, View Question Tool life in the case of a grinding wheel is the time View Question In a shaper machine, the mechanism for tool feed is View Question One brand of milling machine has the following two index plates supplied along with the indexing head: Plate 1:$$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 $$2 View Question A$$\phi \,\,25mm$$hole is pierced in a$$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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