1
GATE EE 2014 Set 3
Numerical
+2
-0
Lifetime of an electric bulb is a random variable with density $$f\left( x \right) = k{x^2},$$ where $$x$$ is measured in years. If the minimum and maximum lifetimes of bulb are $$1$$ and $$2$$ years respectively, then the value of $$k$$ is ________.
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2
GATE EE 2014 Set 3
Numerical
+1
-0
The function $$f\left( x \right) = {e^x} - 1\,\,$$ is to be solved using Newton $$-$$ Raphson method. If the initial value of $${x_0}$$ is taken $$1.0,$$ then the absolute error observed at $${2^{nd}}$$ iteration is ___________.
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3
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Integration of the complex function $$f\left( z \right) = {{{z^2}} \over {{z^2} - 1}},$$ in the counterclockwise direction, around $$\left| {z - 1} \right| = 1,$$ is
A
$$ - \pi i$$
B
$$0$$
C
$$\pi i$$
D
$$2\pi i$$
4
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A three-phase fully controlled bridge converter is fed through star-delta transformer as shown in the figure. GATE EE 2014 Set 3 Power Electronics - Single and Three Phase Rectifier Question 22 English

The converter is operated at a firing angle of $${30^0}.$$ Assuming the load current $$\left( {{{\rm I}_0}} \right)$$ to be virtually constant at $$1$$ $$p.u.$$ and transformer to be an ideal one, the input phase current waveform is

A
GATE EE 2014 Set 3 Power Electronics - Single and Three Phase Rectifier Question 22 English Option 1
B
GATE EE 2014 Set 3 Power Electronics - Single and Three Phase Rectifier Question 22 English Option 2
C
GATE EE 2014 Set 3 Power Electronics - Single and Three Phase Rectifier Question 22 English Option 3
D
GATE EE 2014 Set 3 Power Electronics - Single and Three Phase Rectifier Question 22 English Option 4
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