1
GATE CE 2007
MCQ (Single Correct Answer)
+1
-0.3
A body originally at $${60^ \circ }$$ cools down to $$40$$ in $$15$$ minutes when kept in air at a temperature of $${25^ \circ }$$c. What will be the temperature of the body at the and of $$30$$ minutes?
A
$${35.2^ \circ }C$$
B
$${31.5^ \circ }C$$
C
$${28.7^ \circ }C$$
D
$${15^ \circ }C$$
2
GATE CE 2007
MCQ (Single Correct Answer)
+1
-0.3
Potential function $$\phi $$ is given as $$\phi \, = \,{x^2}\, - \,{y^2}$$. What will be the stream function $$\psi $$ with the condition $$\psi \, = \,0$$ at x = 0, y = 0?
A
$$2xy$$
B
$${x^2}\, + \,\,{y^2}$$
C
$${x^2}\, - \,\,{y^2}$$
D
$$2{x^2}{y^2}$$
3
GATE CE 2007
MCQ (Single Correct Answer)
+1
-0.3
The following equation needs to be numerically solved using the Newton $$-$$ Raphson method $${x^3} + 4x - 9 = 0.\,\,$$ The iterative equation for this purpose is ($$k$$ indicates the iteration level)
A
$${X_{k + 1}} = {{2X_k^3 + 9} \over {3X_k^2 + 4}}$$
B
$${X_{k + 1}} = {{3X_k^3 + 9} \over {2X_k^2 + 9}}$$
C
$${X_{k + 1}} = {X_k} - 3_k^2 + 4$$
D
$${X_{k + 1}} = {{4X_k^2 + 3} \over {9X_k^2 + 2}}$$
4
GATE CE 2007
MCQ (Single Correct Answer)
+1
-0.3
Given that one root of the equation $$\,{x^3} - 10{x^2} + 31x - 30 = 0\,\,$$ is $$5$$ then other roots are
A
$$2$$ and $$3$$
B
$$2$$ and $$4$$
C
$$3$$ and $$4$$
D
$$-2$$ and $$-3$$
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