GATE EE 2017 Set 2 | GATE EE Year Wise Previous Years Questions

GATE EE 2017 Set 2

MCQ (Single Correct Answer)

-0.3

Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.

uniformly over the entire volume of the sphere

uniformly over the outer surface of the sphere

concentrated around the centre of the sphere

along a straight line passing through the centre of the sphere

GATE EE 2017 Set 2

MCQ (Single Correct Answer)

-0.3

The figures show diagrammatic representations of vector fields $$\overrightarrow X,\;\overrightarrow Y,\;and\;\overrightarrow Z$$ respectively. Which one of the following choices is true? GATE EE 2017 Set 2 Electromagnetic Fields - Magnetostatics Question 26 English

GATE EE 2017 Set 2 Electromagnetic Fields - Magnetostatics Question 26 English

$$\nabla.\overrightarrow X\;=\;0,\;\nabla\times\overrightarrow Y\;\neq\;0,\;\nabla\times\overrightarrow Z\;=\;0$$

$$\nabla.\overrightarrow X\;\neq\;0,\;\nabla\times\overrightarrow Y\;=\;0,\;\nabla\times\overrightarrow Z\;\neq\;0$$

$$\nabla.\overrightarrow X\;\neq\;0,\;\nabla\times\overrightarrow Y\;\neq\;0,\;\nabla\times\overrightarrow Z\;\neq\;0$$

$$\nabla.\overrightarrow X\;=\;0,\;\nabla\times\overrightarrow Y\;=\;0,\;\nabla\times\overrightarrow Z\;=\;0$$

GATE EE 2017 Set 2

MCQ (Single Correct Answer)

-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

$$ - 18\,\pi i$$

$$0$$

$$14$$ $$\pi i$$

$$48\,\pi i$$

GATE EE 2017 Set 2

MCQ (Single Correct Answer)

-0.6

The eigen values of the matrix given below are $$\left[ {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr 0 & { - 3} & { - 4} \cr } } \right]$$

$$(0,-1,-3)$$

$$(0,-2,-3)$$

$$(0,2,3)$$

$$(0,1,3)$$

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