GATE EE 2009 | GATE EE Year Wise Previous Years Questions

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

Match the items in List-$$I$$ (Type of transmission line) with the items in List-$$II$$ (Type of distance relay preferred) and select the correct answer using the codes below the lists.

List-$$I$$
$$A.$$ Short Line
$$B.$$ Mesium Line
$$C.$$ Long Line

List-$$II$$
$$1.$$ Ohm Relay
$$2.$$ Reactance Relay
$$3.$$ Mho Relay

$$A = 2,\,\,B = 1,\,\,C = 3$$

$$A = 3,\,\,B = 2,\,\,C = 1$$

$$A = 1,\,\,B = 2,\,\,C = 3$$

$$A = 1,\,\,B = 3,\,\,C = 2$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

For the $${Y_{bus}}$$ matrix of a $$4$$-bus system given in per unit, the buses having shunt elements are $$${Y_{BUS}} = j\left[ {\matrix{ { - 5} & 2 & {2.5} & 0 \cr 2 & { - 10} & {2.5} & 4 \cr {2.5} & {2.5} & { - 9} & 4 \cr 0 & 4 & 4 & { - 8} \cr } } \right]$$$

$$3$$ and $$4$$

$$2$$ and $$3$$

$$1$$ and $$2$$

$$1,2$$ and $$4$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.3

A linear Time Invariant system with an impulse response $$h(t)$$ produces output $$y(t)$$ when input $$x(t)$$ is applied. When the input $$x\left( {t - \tau } \right)$$ is applied to a system with response $$h\left( {t - \tau } \right)$$, the output will be

$$y\left( t \right)$$

$$y\left( {2\left( {t - \tau } \right)} \right)$$

$$y\left( {t - \tau } \right)$$

$$y\left( {t - 2\tau } \right)$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

The $$z$$$$-$$ transform of a signal $$x\left[ n \right]$$ is given by $$4{z^{ - 3}} + 3{z^{ - 1}} + 2 - 6{z^2} + 2{z^3}.$$ It is applied to a system, with a transfer function $$H\left( z \right) = 3{z^{ - 1}} - 2.$$ Let the output be $$y(n)$$. Which of the following is true?

$$y\left( n \right)$$ is non causal with finite support

$$y\left( n \right)$$ is causal with infinite support

$$y\left( n \right)$$ $$ = 0;\,|n| > 3$$

$$\eqalign{ & {\mathop{\rm Re}\nolimits} {\left[ {Y\left( z \right)} \right]_{z = {e^{j0}}}} = - {\mathop{\rm Re}\nolimits} {\left[ {Y\left( z \right)} \right]_{z = {e^{j0}}}}; \cr & {\rm I}m{\left[ {Y\left( z \right)} \right]_{z = {e^{j0}}}}\, = {\rm I}m{\left[ {Y\left( z \right)} \right]_z} = {e^{j0}};\,\, - \pi \le \theta < \pi \cr} $$

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