GATE EE 2005 | GATE EE Year Wise Previous Years Questions

GATE EE 2005

MCQ (Single Correct Answer)

-0.6

A $$1000$$ $$kVA,$$ $$6.6$$ $$kV,$$ $$3$$-phase star connected cylindrical pole synchronous generator has a synchronous reactance of $$20\Omega .$$ Neglect the armature resistance and consider operation at full load and unity power factor.

The induced $$emf$$ is close to (line to line)

$$5.5$$ $$kV$$

$$7.2$$ $$kV$$

$$9.6$$ $$kV$$

$$12.5$$ $$kV$$

GATE EE 2005

MCQ (Single Correct Answer)

-0.6

The power angle is close to

$$13.9$$ degrees

$$18.3$$ degrees

$$24.6$$ degrees

$$33.0$$ degrees

GATE EE 2005

MCQ (Single Correct Answer)

-0.3

In the matrix equation $$PX=Q$$ which of the following is a necessary condition for the existence of atleast one solution for the unknown vector $$X.$$

Augmented matrix $$\left[ {P|Q} \right]$$ must have the same rank as matrix $$P.$$

vector $$Q$$ must have only non-zero elements.

matrix $$P$$ must be singular

matrix $$P$$ must be square

GATE EE 2005

MCQ (Single Correct Answer)

-0.6

For the matrix $$P = \left[ {\matrix{ 3 & { - 2} & 2 \cr 0 & { - 2} & 1 \cr 0 & 0 & 1 \cr } } \right],$$ one of the eigen values is $$-2.$$ Which of the following is an eigen vector?

$$\left( {\matrix{ 3 \cr { - 2} \cr 1 \cr } } \right)$$

$$\left[ {\matrix{ { - 3} \cr 2 \cr { - 1} \cr } } \right]$$

$$\left[ {\matrix{ 1 \cr { - 2} \cr 3 \cr } } \right]$$

$$\left[ {\matrix{ 2 \cr 5 \cr 0 \cr } } \right]$$

PREVIOUS NEXT

GATE EE Papers

2023