1
GATE EE 2014 Set 2
Numerical
+2
-0
Let $$X$$ be a random variable with probability density function $$f\left( x \right) = \left\{ {\matrix{ {0.2} & {for\,\left| x \right| \le 1} \cr {0.1} & {for\,1 < \left| x \right| \le 4} \cr 0 & {otherwise} \cr } } \right.$$

The probability $$P\left( {0.5 < x < 5} \right)$$ is _________.

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2
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the differential equation $${x^2}{{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}} - y = 0.\,\,$$ Which of the following is a solution to this differential equation for $$x > 0?$$
A
$${e^x}$$
B
$${x^2}$$
C
$$1/x$$
D
$$lnx$$
3
GATE EE 2014 Set 2
Numerical
+2
-0
The $$SCR$$ in the circuit shown has a latching current of $$40$$ $$mA.$$ A gate pulse of $$50$$ $$\mu s$$ is applied to the $$SCR$$. The maximum value of $$R$$ in $$\Omega $$ to ensure successful firing of the $$SCR$$ is ____________. GATE EE 2014 Set 2 Power Electronics - Power Semiconductor Devices Question 9 English
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4
GATE EE 2014 Set 2
Numerical
+2
-0
A fully controlled converter bridge feeds a highly inductive load with ripple free load current. The input supply $$\left( {{V_s}} \right)$$ to the bridge is a sinusoidal source. Triggering angle of the bridge converter is $$\,\alpha = {30^0}.$$ The input power factor of the bridge is ____________. GATE EE 2014 Set 2 Power Electronics - Single and Three Phase Rectifier Question 26 English
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