1
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $$3$$ tosses. Let the random variable $$Y$$ denotes the number of heads. The value of var $$\left\{ Y \right\},$$ where var $$\left\{ . \right\}$$ denotes the variance, equal
A
$${7 \over 8}$$
B
$${49 \over 64}$$
C
$${7 \over 64}$$
D
$${105 \over 64}$$
2
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The value of the contour integral in the complex - plane $$\oint {{{{z^3} - 2z + 3} \over {z - 2}}} dz$$ along the contour $$\left| z \right| = 3,$$ taken counter-clockwise is
A
$$- 18\,\pi i$$
B
$$0$$
C
$$14$$ $$\pi i$$
D
$$48\,\pi i$$
3
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
In the circuit shown, the diodes are ideal, the inductance is small, and $${{\rm I}_0} \ne 0.$$ Which one of the following statements is true?
A
$${D_1}$$ conducts for greater than $${180^ \circ }$$ and $${D_2}$$ conducts for greater than $${180^ \circ }$$
B
$${D_2}$$ conducts for more than $${180^ \circ }$$ and $${D_1}$$ conducts for $${180^ \circ }$$
C
$${D_1}$$ conducts for $${180^ \circ }$$ and $${D_2}$$ conducts for $${180^ \circ }$$
D
$${D_1}$$ conducts for more than $${180^ \circ }$$ and $${D_2}$$ conducts for $${180^ \circ }$$
4
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A phase-controlled, single-phase, full-bridge converter is fed from a $$230$$ $$V,$$ $$50$$ $$Hz,$$ $$AC$$ source. The fundamental frequency in $$Hz$$ of the voltage ripple on the $$DC$$ side is
A
$$25$$
B
$$50$$
C
$$100$$
D
$$300$$
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