1
GATE CE 2007
MCQ (Single Correct Answer)
+2
-0.6
The velocity vector is given as $${\mkern 1mu} \vec V = 5xy\widehat i + 2{y^2}\widehat j + 3y{z^2}\widehat k.{\mkern 1mu} {\mkern 1mu} $$ The divergence of this velocity vector at $$(1,1,1)$$ is
A
$$9$$
B
$$10$$
C
$$14$$
D
$$15$$
2
GATE CE 2007
MCQ (Single Correct Answer)
+1
-0.3
If the standard deviation of the speed of vehicles in a highway is $$8.8$$ kmph and the mean speed of the vehicles is $$33$$ kmph, the coefficient of variation in speed is
A
$$0.1517$$
B
$$0.1867$$
C
$$0.2666$$
D
$$0.3646$$
3
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
$${15^ \circ }C$$
4
GATE CE 2007
MCQ (Single Correct Answer)
+1
-0.3
The degree of the differential equation $$\,{{{d^2}x} \over {d{t^2}}} + 2{x^3} = 0\,\,$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$