1
GATE PI 2012
MCQ (Single Correct Answer)
+1
-0.3
Consider the function $$f\left( x \right) = \left| x \right|$$ in the interval $$\,\, - 1 \le x \le 1.\,\,\,$$ At the point $$x=0, f(x)$$ is
A
continuous and differentiable .
B
non-continuous and differentiable.
C
continuous and non-differentiable.
D
neither continuous nor differentiable.
2
GATE PI 2012
MCQ (Single Correct Answer)
+2
-0.6
$$x+2y+z=4, 2x+y+2z=5, x-y+z=1$$
The system of algebraic equations given above has
A
a unique solution of $$x=1,y=1$$ and $$z=1$$
B
only the two solutions of $$x=1, y=1, z=1$$ and $$x=2, y=1, z=0$$
C
infinite number of solutions.
D
no feasible solution.
3
GATE PI 2012
MCQ (Single Correct Answer)
+2
-0.6
Consider two infinitely long thin concentric tubes of circular cross section as shown in the figure. If $${D_1}$$ and $${D_2}$$ are the diameters of the inner and outer tubes respectively, then the view factor $${F_{22}}$$ is given by GATE PI 2012 Heat Transfer - Radiation Question 1 English
A
$$\left( {{{{D_2}} \over {{D_1}}}} \right) - 1$$
B
Zero
C
$$\left( {{{{D_1}} \over {{D_2}}}} \right)$$
D
$$1 - \left( {{{{D_1}} \over {{D_2}}}} \right)$$
4
GATE PI 2012
MCQ (Single Correct Answer)
+1
-0.3
For an opaque surface, the absorptivity $$\left( \alpha \right),$$ transmissivity $$\left( \tau \right)$$ and reflectivity $$\left( \rho \right)$$ are related by the equation:
A
$$\alpha + \rho = \tau $$
B
$$\rho + \alpha + \tau = 0$$
C
$$\alpha + \rho = 1$$
D
$$\alpha + \rho = 0$$
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