GATE PI 2010
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## GATE PI

Solidification time of a metallic alloy casting is
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During the filling process of a given sand mould cavity by metal through a horizontal runner of circular $$C.S,$$ the fr
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The value of $$q$$ for which the following set of linear equations $$2x+3y=0, 6x+qy=0$$ can have non-trivial solution is
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If $$(1, 0, -1)$$$${}^T$$ is an eigen vector of the following matrix $$\left[ {\matrix{ 1 &amp; { - 1} &amp; 0 \cr View Question If$$f\left( x \right) = \sin \left| x \right|\,\,$$then the value of$${{df} \over {dx}}\,\,$$at$$\,\,x = {{ - \pi }
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The integral $$\,\,{1 \over {\sqrt {2\pi } }}\int\limits_{ - \infty }^\infty {{e^{{{ - {x^2}} \over 2}}}} dx\,\,$$ is e
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If a random variable $$X$$ satisfies the poission's distribution with a mean value of $$2,$$ then the probability that
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Two white and two black balls, kept in two bins, are arranged in four ways as shown below. In each arrangement, a bin ha
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The solution of the differential equation $${{dy} \over {dx}} - {y^2} = 1$$ satisfying the condition $$y(0)=1$$ is
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Which one of the following differential equations has a solution given by the function $$y = 5\sin \left( {3x + {\pi \o View Question The following algorithm computes the integral$$\,J = \int\limits_a^b {f\left( x \right)dx\,\,\,} $$from the given valu View Question An industrial gas$$\left( {{C_p} = 1kJ/kgK} \right)$$enters a parallel flow heat exchanger at$${250^ \circ }C$$with View Question During a steady gas metal arc welding with direct current electrode positive polarity, the welding current, voltage and View Question During turning of a low carbon steel bar with TiN coated carbide insert, one needs to improve surface finish without sac View Question Which of the following powder production methods produces spongy and porous particles? View Question For a$$3$$-axes$$CNC$$table, the slide along the vertical axis of the table driven by a$$DC$$servo motor via lead s View Question Cold shut (lap) may occur in products obtained by: View Question Hot die steel, used for large solid dies in drop forging, should necessarily have View Question During open die forging process using two flat and parallel dies, a solid steel disc of initial radius$$({R_{IN}})\,\,2
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In a rolling process, the roll separating force can be decreased by
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A small bore is designated as $$25H7.$$ The lower (minimum) and upper (maximum) limits of the bore are $$25.000mm$$ and
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